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Who said: “Nature does nothing in vain when less will serve; for Nature is pleased with simplicity and affects not the pomp of superfluous causes.”
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Knowledge Quotes (1647 quotes)
Knoledge Quotes


… however useful the words may have been in the past, they have now become handicaps to the further development of knowledge. Words like botany and zoology imply that plants and animals are quite different things. … But the differences rapidly become blurred when we start looking at the world through a microscope. … The similarities between plants and animals became more important than their differences with the discoveries that both were built up of cells, had sexual reproduction,… nutrition and respiration … and with the development of evolutionary theory.
In The Forest and the Sea (1960), 7.
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... in going over the history of all the inventions for which history could be obtained it became more and more clear that in addition to training and in addition to extensive knowledge, a natural quality of mind was also necessary.
Aphorism listed Frederick Seitz, The Cosmic Inventor: Reginald Aubrey Fessenden (1866-1932) (1999), 54, being Transactions of the American Philosophical Society, Held at Philadelphia For Promoting Useful Knowledge, Vol. 86, Pt. 6.
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… poets are masters of us ordinary men, in knowledge of the mind, because they drink at streams which we have not yet made accessible to science.
In A Dictionary of Scientific Quotations by Alan L. Mackay (1991).
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… the reasoning process [employed in mathematics] is not different from that of any other branch of knowledge, … but there is required, and in a great degree, that attention of mind which is in some part necessary for the acquisition of all knowledge, and in this branch is indispensably necessary. This must be given in its fullest intensity; … the other elements especially characteristic of a mathematical mind are quickness in perceiving logical sequence, love of order, methodical arrangement and harmony, distinctness of conception.
In Treatise on Infinitesimal Calculus (1868), Vol. 8, 6.
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… the three positive characteristics that distinguish mathematical knowledge from other knowledge … may be briefly expressed as follows: first, mathematical knowledge bears more distinctly the imprint of truth on all its results than any other kind of knowledge; secondly, it is always a sure preliminary step to the attainment of other correct knowledge; thirdly, it has no need of other knowledge.
In Mathematical Essays and Recreations (1898), 35.
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… the truth is that the knowledge of external nature and of the sciences which that knowledge requires or includes, is not the great or the frequent business of the human mind. Whether we provide for action or conversation, whether we wish to be useful or pleasing, the first requisite is the religious and moral knowledge of right and wrong; the next is an acquaintance with the history of mankind, and with those examples which may be said to embody truth, and prove by events the reasonableness of opinions. Prudence and justice are virtues, and excellencies, of all times and of all places; we are perpetually moralists, but we are geometricians only by chance. Our intercourse with intellectual nature is necessary; our speculations upon matter are voluntary, and at leisure. Physical knowledge is of such rare emergence, that one man may know another half his life without being able to estimate his skill in hydrostatics or astronomy; but his moral and prudential character immediately appears.
In Lives of the Poets (1779-81).
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...a man estimable for his learning, amiable for his life, and venerable for his piety. Arbuthnot was a man of great comprehension, skilful in his profession, versed in the sciences, acquainted with ancient literature, and able to animate his mass of knowledge by a bright and active imagination; a scholar with great brilliance of wit; a wit who, in the crowd of life, retained and discovered a noble ardour of religious zeal.
The Lives of the English Poets (1826), vol. 2, 257.
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...I believe there exists, & I feel within me, an instinct for the truth, or knowledge or discovery, of something of the same nature as the instinct of virtue, & that our having such an instinct is reason enough for scientific researches without any practical results ever ensuing from them.
The Correspondence of Charles Darwin, Vol. 4. (1847-50)
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…reality is a system, completely ordered and fully intelligible, with which thought in its advance is more and more identifying itself. We may look at the growth of knowledge … as an attempt by our mind to return to union with things as they are in their ordered wholeness…. and if we take this view, our notion of truth is marked out for us. Truth is the approximation of thought to reality … Its measure is the distance thought has travelled … toward that intelligible system … The degree of truth of a particular proposition is to be judged in the first instance by its coherence with experience as a whole, ultimately by its coherence with that further whole, all comprehensive and fully articulated, in which thought can come to rest.
In The Nature of Thought (1921), Vol II, 264.
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...That day in the account of creation, or those days that are numbers according to its recurrence, are beyond the experience and knowledge of us mortal earthbound men. And if we are able to make any effort towards an understanding of those days, we ought not to rush forward with an ill considered opinion, as if no other reasonable and plausible interpretation could be offered.
iv.44
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…the ideal doctor would be a man endowed with profound knowledge of life and of the soul, intuitively divining any suffering or disorder of whatever kind, and restoring peace by his mere presence.
Amiel's Journal The Journal Intime of Henri-Frederic Amiel (22 Aug 1873), trans. By Mrs Humphry Ward (1889), Vol 2., 153.
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…this discussion would be unprofitable if it did not lead us to appreciate the wisdom of our Creator, and the wondrous knowledge of the Author of the world, Who in the beginning created the world out of nothing, and set everything in number, measure and weight, and then, in time and the age of man, formulated a science which reveals fresh wonders the more we study it.
Hrosvita
From her play Sapientia, as quoted and cited in Philip Davis with Reuben Hersh, in The Mathematical Experience (1981), 110-111. Davis and Hersh introduce the quote saying it comes “after a rather long and sophisticated discussion of certain facts in the theory of numbers” by the character Sapientia.
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...to many it is not knowledge but the quest for knowledge that gives greater interest to thought—to travel hopefully is better than to arrive.
Last sentences, Physics and Philosophy (1943, 2003), 217
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‘I was reading an article about “Mathematics”. Perfectly pure mathematics. My own knowledge of mathematics stops at “twelve times twelve,” but I enjoyed that article immensely. I didn’t understand a word of it; but facts, or what a man believes to be facts, are always delightful. That mathematical fellow believed in his facts. So do I. Get your facts first, and’—the voice dies away to an almost inaudible drone—’then you can distort ‘em as much as you please.’
In 'An Interview with Mark Twain', in Rudyard Kipling, From Sea to Sea (1899), Vol. 2, 180.
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“Endow scientific research and we shall know the truth, when and where it is possible to ascertain it;” but the counterblast is at hand: “To endow research is merely to encourage the research for endowment; the true man of science will not be held back by poverty, and if science is of use to us, it will pay for itself.” Such are but a few samples of the conflict of opinion which we find raging around us.
From The Grammar of Science (1892), 5.
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“Facts” are the bounds of human knowledge, set for it, not by it.
'On Some Hegelisms' (1882). In The Will to Believe and Other Essays in Popular Philosophy (1897), 271.
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“I should have more faith,” he said; “I ought to know by this time that when a fact appears opposed to a long train of deductions it invariably proves to be capable of bearing some other interpretation.”
Spoken by character, Sherlock Holmes, in A Study in Scarlet (1887), in Works of Arthur Conan Doyle (1902), Vol. 11, 106.
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[A man] must learn to understand the motives of human beings, their illusions, and their sufferings human beings, their illusions, and their sufferings in order to acquire a proper relationship to individual fellow-men and to the community. These precious things … primarily constitutes and preserves culture. This is what I have in mind when I recommend the “humanities” as important, not just dry specialized knowledge in the fields of history and philosophy.
From interview with Benjamin Fine, 'Einstein Stresses Critical Thinking', New York Times (5 Oct 1952), 37.
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[A]s you know, scientific education is fabulously neglected … This is an evil that is inherited, passed on from generation to generation. The majority of educated persons are not interested in science, and are not aware that scientific knowledge forms part of the idealistic background of human life. Many believe—in their complete ignorance of what science really is—that it has mainly the ancillary task of inventing new machinery, or helping to invent it, for improving our conditions of life. They are prepared to leave this task to the specialists, as they leave the repairing of their pipes to the plumber. If persons with this outlook decide upon the curriculum of our children, the result is necessarily such as I have just described it.
Opening remarks of the second of four public lectures for the Dublin Institute for Advanced Studies at University College, Dublin (Feb 1950), The Practical Achievements of Science Tending to Obliterate its True Import', collected in Science and Humanism: Physics in Our Time (1951). Reprinted in 'Nature and the Greeks' and 'Science and Humanism' (1996), 113.
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[As a youth, fiddling in my home laboratory] I discovered a formula for the frequency of a resonant circuit which was 2π x sqrt(LC) where L is the inductance and C the capacitance of the circuit. And there was π, and where was the circle? … I still don’t quite know where that circle is, where that π comes from.
From address to the National Science Teachers’ Association convention (Apr 1966), 'What Is Science?', collected in Richard Phillips Feynman and Jeffrey Robbins (ed.), The Pleasure of Finding Things Out: The Best Short Works of Richard P. Feynman (1999, 2005), 177.
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[At high school in Cape Town] my interests outside my academic work were debating, tennis, and to a lesser extent, acting. I became intensely interested in astronomy and devoured the popular works of astronomers such as Sir Arthur Eddington and Sir James Jeans, from which I learnt that a knowledge of mathematics and physics was essential to the pursuit of astronomy. This increased my fondness for those subjects.
'Autobiography of Allan M. Cormack,' Les Prix Nobel/Nobel Lectures 1979, editted by Wilhelm Odelberg.
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[At the end of the story, its main character, Tom] is now a great man of science, and can plan railroads, and steam-engines, and electric telegraphs, and rifled guns, and so forth; and knows everything about everything, except why a hen's egg don't turn into a crocodile, and two or three other little things that no one will know till the coming of the Cocqcigrues.
The Water-babies (1886), 368-9.
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[Boundless curiosity.] That’s what being alive is about. I mean, it’s the fun of it all, making sense of it, understanding it. There’s a great pleasure in knowing why trees shed their leaves in winter. Everybody knows they do, but why? If you lose that, then you’ve lost pleasure.
From interview with Sophie Elmhirst, 'I Think the BBC Has Strayed From the Straight and Narrow', New Statesman (10 Jan 2011), 140, No. 5035, 32.
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[Charles Kettering] is unique in that he combines in one individual the interest in pure science with the practical ability to apply knowledge in useful devices.
As quoted in book review, T.A. Boyd, 'Charles F. Kettering: Prophet of Progress', Science (30 Jan 1959), 256.
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[Culture] denotes an historically transmitted pattern of meanings embodied in symbols, a system of inherited conceptions expressed in symbolic forms, by means of which men communicate, perpetuate, and develop their knowledge about and attitudes toward life.
The Interpretation of Cultures (1977), 89.
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[Davy's] March of Glory, which he has run for the last six weeks—within which time by the aid and application of his own great discovery, of the identity of electricity and chemical attractions, he has placed all the elements and all their inanimate combinations in the power of man; having decomposed both the Alkalies, and three of the Earths, discovered as the base of the Alkalies a new metal... Davy supposes there is only one power in the world of the senses; which in particles acts as chemical attractions, in specific masses as electricity, & on matter in general, as planetary Gravitation... when this has been proved, it will then only remain to resolve this into some Law of vital Intellect—and all human knowledge will be Science and Metaphysics the only Science.
In November 1807 Davy gave his famous Second Bakerian Lecture at the Royal Society, in which he used Voltaic batteries to “decompose, isolate and name” several new chemical elements, notably sodium and potassium.
Letter to Dorothy Wordsworth, 24 November 1807. In Earl Leslie Griggs (ed.), The Collected Letters of Samuel Taylor Coleridge (1956), Vol. 3, 38.
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[Decimal currency is desirable because] by that means all calculations of interest, exchange, insurance, and the like are rendered much more simple and accurate, and, of course, more within the power of the great mass of people. Whenever such things require much labor, time, and reflection, the greater number who do not know, are made the dupes of the lesser number who do.
Letter to Congress (15 Jan 1782). 'Coinage Scheme Proposed by Robert Morris, Superintendent of Finance', from MS. letters and reports of the Superintendent of Finance, No, 137, Vol. 1, 289-300. Reprinted as Appendix, in Executive Documents, Senate of the U.S., Third Session of the Forty-Fifth Congress, 1878-79 (1879), 430.
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[Describing a freshman seminar titled “How the Tabby Cat Got Her Stripes or The Silence of the Genes”:] The big idea we start with is: “How is the genome interpreted, and how are stable decisions that affect gene expression inherited from one cell to the next? This is one of the most competitive areas of molecular biology at the moment, and the students are reading papers that in some instances were published this past year. As a consequence, one of the most common answers I have to give to their questions is, “We just don't know.”
As quoted by Kitta MacPherson in 'Exploring Epigenetics: President Shirley Tilghman in the Classroom,' Princeton University Undergraduate Admission web page accessed 14 Oct 2013.
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[Edison] definitely ended the distinction between the theoretical man of science and the practical man of science, so that today we think of scientific discoveries in connection with their possible present or future application to the needs of man. He took the old rule-of-thumb methods out of industry and substituted exact scientific knowledge, while, on the other hand, he directed scientific research into useful channels.
In My Friend Mr. Edison (1930). Quoted in Dyson Carter, If You Want to Invent (1939), 110.
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[Euclid's Elements] has been for nearly twenty-two centuries the encouragement and guide of that scientific thought which is one thing with the progress of man from a worse to a better state. The encouragement; for it contained a body of knowledge that was really known and could be relied on, and that moreover was growing in extent and application. For even at the time this book was written—shortly after the foundation of the Alexandrian Museum—Mathematics was no longer the merely ideal science of the Platonic school, but had started on her career of conquest over the whole world of Phenomena. The guide; for the aim of every scientific student of every subject was to bring his knowledge of that subject into a form as perfect as that which geometry had attained. Far up on the great mountain of Truth, which all the sciences hope to scale, the foremost of that sacred sisterhood was seen, beckoning for the rest to follow her. And hence she was called, in the dialect of the Pythagoreans, ‘the purifier of the reasonable soul.’
From a lecture delivered at the Royal Institution (Mar 1873), collected postumously in W.K. Clifford, edited by Leslie Stephen and Frederick Pollock, Lectures and Essays, (1879), Vol. 1, 296.
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[Everyone should know:] The unity of life that comes about through evolution, since we’re all descended from a single common ancestor. It’s almost too good to be true, that on one planet this extraordinary complexity of life should have come about by what is pretty much an intelligible process. And we're the only species capable of understanding it.
From 'Interview: Of Mind and Matter: David Attenborough Meets Richard Dawkins', The Guardian (11 Sep 2010),
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[First use of the term science fiction:] We hope it will not be long before we may have other works of Science-Fiction [like Richard Henry Horne's The Poor Artist], as we believe such books likely to fulfil a good purpose, and create an interest, where, unhappily, science alone might fail.
[Thomas] Campbell says, that “Fiction in Poetry is not the reverse of truth, but her soft and enchanting resemblance.” Now this applies especially to Science-Fiction, in which the revealed truths of Science may be given interwoven with a pleasing story which may itself be poetical and true—thus circulating a knowledge of Poetry of Science, clothed in a garb of the Poetry of life.
In A Little Earnest Book Upon a Great Old Subject (1851), 137.
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[Florence Nightingale] was a great administrator, and to reach excellence here is impossible without being an ardent student of statistics. Florence Nightingale has been rightly termed the “Passionate Statistician.” Her statistics were more than a study, they were indeed her religion. For her, Quetelet was the hero as scientist, and the presentation copy of his Physique Sociale is annotated by her on every page. Florence Nightingale believed—and in all the actions of her life acted upon that belief—that the administrator could only be successful if he were guided by statistical knowledge. The legislator—to say nothing of the politician—too often failed for want of this knowledge. Nay, she went further: she held that the universe—including human communities—was evolving in accordance with a divine plan; that it was man's business to endeavour to understand this plan and guide his actions in sympathy with it. But to understand God's thoughts, she held we must study statistics, for these are the measure of his purpose. Thus the study of statistics was for her a religious duty.
In Karl Pearson, The Life, Letters and Labours of Francis Galton (1924), Vol. 2, 414-5.
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[For the] increase of knowledge and … the useful application of the knowledge gained, … there never is a sudden beginning; even the cloud change which portends the thunderstorm begins slowly.
From address, 'A Medical Retrospect'. Published in Yale Medical Journal (Oct 1910), 17, No. 2, 59.
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[I have a great] distaste for controversy…. I have often seen it do great harm, and yet remember few cases in natural knowledge where it has helped much either to pull down error or advance truth. Criticism, on the other hand, is of much value.
In letter (6 May 1841) to Robert Hare, an American Chemist, collected in Experimental Researches in Electricity (1844), Vol. 2, 275, as a footnote added to a reprint of 'On Dr. Hare’s Second Letter, and on the Chemical and Contact Theories of the Voltaic Battery', London and Edinburgh Philosophical Magazine (1843), 23.
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[I]f in other sciences we should arrive at certainty without doubt and truth without error, it behooves us to place the foundations of knowledge in mathematics, in so far as disposed through it we are able to reach certainty in other sciences and truth by the exclusion of error. (c.1267)
Translation by Robert Burke, Opus Majus of Roger Bacon (1928), vol 1, 124. In Fred R. Shapiro, The Yale Book of Quotations (2006), 39.
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[I]magine you want to know the sex of your unborn child. There are several approaches. You could, for example, do what the late film star ... Cary Grant did before he was an actor: In a carnival or fair or consulting room, you suspend a watch or a plumb bob above the abdomen of the expectant mother; if it swings left-right it's a boy, and if it swings forward-back it's a girl. The method works one time in two. Of course he was out of there before the baby was born, so he never heard from customers who complained he got it wrong. ... But if you really want to know, then you go to amniocentesis, or to sonograms; and there your chance of being right is 99 out of 100. ... If you really want to know, you go to science.
In 'Wonder and Skepticism', Skeptical Enquirer (Jan-Feb 1995), 19, No. 1.
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[In my early youth, walking with my father,] “See that bird?” he says. “It’s a Spencer’s warbler.” (I knew he didn’t know the real name.) “Well, in Italian, it’s a Chutto Lapittida. In Portuguese, it’s a Bom da Peida. In Chinese, it’s a Chung-long-tah, and in Japanese, it’s a Katano Tekeda. You can know the name of that bird in all the languages of the world, but when you’re finished, you’ll know absolutely nothing whatever about the bird. You’ll only know about humans in different places, and what they call the bird. So let’s look at the bird and see what it’s doing—that’s what counts.” (I learned very early the difference between knowing the name of something and knowing something.)
In 'The Making of a Scientist', What Do You Care What Other People Think?": Further Adventures of a Curious Character (2001), 13-14.
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[It would not be long] ere the whole surface of this country would be channelled for those nerves which are to diffuse, with the speed of thought, a knowledge of all that is occurring throughout the land, making, in fact, one neighborhood of the whole country.
Samuel F.B. Morse: His Letters and Journals (1914), vol. 2, 85.
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[It] is not the nature of things for any one man to make a sudden, violent discovery; science goes step by step and every man depends on the work of his predecessors. When you hear of a sudden unexpected discovery—a bolt from the blue—you can always be sure that it has grown up by the influence of one man or another, and it is the mutual influence which makes the enormous possibility of scientific advance. Scientists are not dependent on the ideas of a single man, but on the combined wisdom of thousands of men, all thinking of the same problem and each doing his little bit to add to the great structure of knowledge which is gradually being erected.
Concluding remark in Lecture ii (1936) on 'Forty Years of Physics', revised and prepared for publication by J.A. Ratcliffe, collected in Needham and Pagel (eds.), Background to Modern Science: Ten Lectures at Cambridge Arranged by the History of Science Committee, (1938), 73-74. Note that the words as prepared for publication may not be verbatim as spoken in the original lecture by the then late Lord Rutherford.
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[John Scott Haldane] preferred to work on himself or other human beings who were sufficiently interested in the work to ignore pain or fear … [His] object was not to achieve this state of [pain or fear] but to achieve knowledge which could save other men's lives. His attitute was much more like a good soldier who will risk his life and endure wounds in order to gain victory than that of an ascetic who deliberately undergoes pain. The soldier does not get himself wounded deliberately, and my father did not seek pain in his work though he greeted pain which would have made some people writhe or groan, with laughter.
In R.W. Clark, JBS: The Life and Work of J.B.S. Haldane (1968), quoted in Lawrence K. Altman, Who Goes First? (1986), 215.
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[M]y work, which I’ve done for a long time, was not pursued in order to gain the praise I now enjoy, but chiefly from a craving after knowledge, which I notice resides in me more than in most other men. And therewithal, whenever I found out anything remarkable, I have thought it my duty to put down my discovery on paper, so that all ingenious people might be informed thereof.
Letter (27 Jun 1716) thanking the University of Louvain for ending him a medal designed in honour of his research. (Leeuwenhoek was then in his 84th year.) As cited by Charles-Edward Amory Winslow in The Conquest of Epidemic Disease: A Chapter in the History of Ideas (), 156.
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[Mathematics] is security. Certainty. Truth. Beauty. Insight. Structure. Architecture. I see mathematics, the part of human knowledge that I call mathematics, as one thing—one great, glorious thing. Whether it is differential topology, or functional analysis, or homological algebra, it is all one thing. … They are intimately interconnected, they are all facets of the same thing. That interconnection, that architecture, is secure truth and is beauty. That’s what mathematics is to me.
From interview with Donald J. Albers. In John H. Ewing and Frederick W. Gehring, Paul Halmos Celebrating 50 Years of Mathematics (1991), 13.
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[Misattributed] A little knowledge is a dangerous thing. So is a lot.
See the original quoted on the page for Alexander Pope, beginning “A little learning …”.
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[Misquotation; not by Einstein.] If only I had known, I should have become a watchmaker. [Apparently remorseful for his role in the development of the atom bomb.]
Although often seen cited as “Attributed” New Statesman (16 Apr 1965), Ralph Keyes in The Quote Verifier: Who Said What, Where, and When (2006), 53, states “Einstein said no such thing.” See the similar quote about a plumber.
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[On the 11th day of November 1572], in the evening, after sunset, when, according to my habit, I was contemplating the stars in a clear sky, I noticed that a new and unusual star, surpassing all others in brilliancy, was shining almost directly over my head; and since I had, almost from boyhood, known all the stars of the heavens perfectly (there is no great difficulty in gaining that knowledge), it was quite evident to me that there had never before been any star in that place in the sky, even the smallest, to say nothing of a star so conspicuously bright as this. I was so astonished at this sight that I was not ashamed to doubt the trustworthiness of my own eyes. But when I observed that others, too, on having the place pointed out to them, could see that there was a star there, I had no further doubts. A miracle indeed, either the greatest of all that have occurred in the whole range of nature since the beginning of the world, or one certainly that is to be classed with those attested by the Holy Oracles.
De Stello. Nova (On the New Star) (1573). Quoted in H. Shapley and A. E. Howarth (eds.), Source Book in Astronomy (1929), 13.
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[Oppenheimer is] tense, dedicated, deeper than deep, somewhat haunted, uncertain, calm, confident, and full, full, full of knowledge, not only of particles and things but of men and motives, and of the basic humanity that may be the only savior we have in this strange world he and his colleagues have discovered.
In Due to Circumstances Beyond Our Control by Fred W. Friendly (1967).
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[Richard Feynman] believed in the primacy of doubt, not as a blemish upon our ability to know but as the essence of knowing. The alternative to uncertainty is authority, against which science has fought for centuries.
In Genius: The Life and Science of Richard Feynman (1992), 371-372.
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[Scientists are explorers.] Spoke-like, their trails into the unknown leave the little hub of common knowledge far behind and their fellow explorers further and further out of touch.
The Development of Design (1981), 1.
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[Scientists who think science consists of unprejudiced data-gathering without speculation are merely] cows grazing on the pasture of knowledge.
In The Art of the Soluble: Creativity and Originality in Science (1969). As cited in New Scientist (16 April 2008), 198, 49.
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[The famous attack of Sir William Hamilton on the tendency of mathematical studies] affords the most express evidence of those fatal lacunae in the circle of his knowledge, which unfitted him for taking a comprehensive or even an accurate view of the processes of the human mind in the establishment of truth. If there is any pre-requisite which all must see to be indispensable in one who attempts to give laws to the human intellect, it is a thorough acquaintance with the modes by which human intellect has proceeded, in the case where, by universal acknowledgment, grounded on subsequent direct verification, it has succeeded in ascertaining the greatest number of important and recondite truths. This requisite Sir W. Hamilton had not, in any tolerable degree, fulfilled. Even of pure mathematics he apparently knew little but the rudiments. Of mathematics as applied to investigating the laws of physical nature; of the mode in which the properties of number, extension, and figure, are made instrumental to the ascertainment of truths other than arithmetical or geometrical—it is too much to say that he had even a superficial knowledge: there is not a line in his works which shows him to have had any knowledge at all.
In Examination of Sir William Hamilton's Philosophy (1878), 607.
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[The object of education is] to train the mind to ascertain the sequence of a particular conclusion from certain premises, to detect a fallacy, to correct undue generalisation, to prevent the growth of mistakes in reasoning. Everything in these must depend on the spirit and the manner in which the instruction itself is conveyed and honoured. If you teach scientific knowledge without honouring scientific knowledge as it is applied, you do more harm than good. I do think that the study of natural science is so glorious a school for the mind, that with the laws impressed on all these things by the Creator, and the wonderful unity and stability of matter, and the forces of matter, there cannot be a better school for the education of the mind.
Giving Evidence (18 Nov 1862) to the Public Schools Commission. As quoted in John L. Lewis, 125 Years: The Physical Society & The Institute of Physics (1999), 168-169.
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[The scientist] believes passionately in facts, in measured facts. He believes there are no bad facts, that all facts are good facts, though they may be facts about bad things, and his intellectual satisfaction can come only from the acquisition of accurately known facts, from their organization into a body of knowledge, in which the inter-relationship of the measured facts is the dominant consideration.
'Scientist and Citizen', Speech to the Empire Club of Canada (29 Jan 1948), The Empire Club of Canada Speeches (29 Jan 1948), 209-221.
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[The surplus of basic knowledge of the atomic nucleus was] largely used up [during the war with the atomic bomb as the dividend.] We must, without further delay restore this surplus in preparation for the important peacetime job for the nucleus - power production. ... Many of the proposed applications of atomic power - even for interplanetary rockets - seem to be within the realm of possibility provided the economic factor is ruled out completely, and the doubtful physical and chemical factors are weighted heavily on the optimistic side. ... The development of economic atomic power is not a simple extrapolation of knowledge gained during the bomb work. It is a new and difficult project to reach a satisfactory answer. Needless to say, it is vital that the atomic policy legislation now being considered by the congress recognizes the essential nature of this peacetime job, and that it not only permits but encourages the cooperative research-engineering effort of industrial, government and university laboratories for the task. ... We must learn how to generate the still higher energy particles of the cosmic rays - up to 1,000,000,000 volts, for they will unlock new domains in the nucleus.
Addressing the American Institute of Electrical Engineering, in New York (24 Jan 1946). In Schenectady Gazette (25 Jan 1946),
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[The tools that Newton gave us] entered the marrow of what we know without knowing how we know it.
From Isaac Newton (2003), 188.
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[The] erroneous assumption is to the effect that the aim of public education is to fill the young of the species with knowledge and awaken their intelligence, and so make them fit to discharge the duties of citizenship in an enlightened and independent manner. Nothing could be further from the truth. The aim of public education is not to spread enlightenment at all; it is simply to reduce as many individuals as possible to the same safe level, to breed and train a standardised citizenry, to put down dissent and originality.
The American Mercury (24 Apr 1924).
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[Theodore Roosevelt] was a naturalist on the broadest grounds, uniting much technical knowledge with knowledge of the daily lives and habits of all forms of wild life. He probably knew tenfold more natural history than all the presidents who had preceded him, and, I think one is safe in saying, more human history also.
In 'Theodore Roosevelt', Natural History (Jan 1919), 19, No.1, 5.
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[Thomas Henry] Huxley, I believe, was the greatest Englishman of the Nineteenth Century—perhaps the greatest Englishman of all time. When one thinks of him, one thinks inevitably of such men as Goethe and Aristotle. For in him there was that rich, incomparable blend of intelligence and character, of colossal knowledge and high adventurousness, of instinctive honesty and indomitable courage which appears in mankind only once in a blue moon. There have been far greater scientists, even in England, but there has never been a scientist who was a greater man.
'Thomas Henry Huxley.' In the Baltimore Evening Sun (4 May 1925). Reprinted in A Second Mencken Chrestomathy: A New Selection from the Writings of America's Legendary Editor, Critic, and Wit (2006), 157.
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[To a man expecting a scientific proof of the impossibility of flying saucers] I might have said to him: “Listen, I mean that from my knowledge of the world that I see around me, I think that it is much more likely that the reports of flying saucers are the results of the known irrational characteristics of terrestrial intelligence than of the unknown rational efforts of extra-terrestrial intelligence.” It is just more likely, that is all. It is a good guess. And we always try to guess the most likely explanation, keeping in the back of the mind the fact that if it does not work we must discuss the other possibilities.
In The Character of Physical Law (1965, 2001), 166.
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[Tom Bombadil is] an exemplar, a particular embodying of pure (real) natural science: the spirit that desires knowledge of other things, their history and nature, because they are ‘other’ and wholly independent of the enquiring mind, a spirit coeval with the rational mind, and entirely unconcerned with ‘doing’ anything with the knowledge: Zoology and Botany not Cattle-breeding or Agriculture. Even the Elves hardly show this: they are primarily artists.
From Letter draft to Peter Hastings (manager of a Catholic bookshop in Oxford, who wrote about his enthusiasm for Lord of the Rings) (Sep 1954). In Humphrey Carpenter (ed.) assisted by Christopher Tolkien, The Letters of J.R.R. Tolkien (1995, 2014), 192, Letter No. 153.
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[Vikram Sarabhai] always gave new technical knowledge to the engineers and at that moment his face was lit with joy.
As given in narrative form by Mahesh Sharma, P. Bhalla and P.K. Das, in 'Prof. Vikram Sarabhai in the Opinion of Dr. Kalam', Pride Of The Nation: Dr. A.P.J. Abdul Kalam (2004), 46.
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[W]e have made a thing, a most terrible weapon, that has altered abruptly and profoundly the nature of the world. We have made a thing that, by all standards of the world we grew up in, is an evil thing. And by doing so, by our participation in making it possible to make these things, we have raised again the question of whether science is good for man, of whether it is good to learn about the world, to try to understand it, to try to control it, to help give to the world of men increased insight, increased power. Because we are scientists, we must say an unalterable yes to these questions; it is our faith and our commitment, seldom made explicit, even more seldom challenged, that knowledge is a good in itself, knowledge and such power as must come with it.
Speech to the American Philosophical Society (Jan 1946). 'Atomic Weapons', printed in Proceedings of the American Philosophical Society, 90(1), 7-10. In Deb Bennett-Woods, Nanotechnology: Ethics and Society (2008), 23. Identified as a speech to the society in Kai Bird, Martin J. Sherwin, American Prometheus: the Triumph and Tragedy of J. Robert Oppenheimer (2005), 323.
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[Question: What do you think was the most important physics idea to emerge this year?]
We won't know for a few years.
Interview with Deborah Solomon, 'The Science of Second-Guessing', in New York Times Magazine (12 Dec 2004), 37.
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Ath. There still remain three studies suitable for freemen. Calculation in arithmetic is one of them; the measurement of length, surface, and depth is the second; and the third has to do with the revolutions of the stars in reference to one another … there is in them something that is necessary and cannot be set aside, … if I am not mistaken, [something of] divine necessity; for as to the human necessities of which men often speak when they talk in this manner, nothing can be more ridiculous than such an application of the words.
Cle. And what necessities of knowledge are there, Stranger, which are divine and not human?
Ath. I conceive them to be those of which he who has no use nor any knowledge at all cannot be a god, or demi-god, or hero to mankind, or able to take any serious thought or charge of them.
Plato
In Republic, Bk. 7, in Jowett, Dialogues of Plato (1897, 2010), Vol. 4, 331.
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Boss: I just heard that light travels faster than sound. I'm wondering if I should shout when I speak, just so my lips appear to sync-up with my words.
Dilbert (thought): A little knowledge can be a ridiculous thing.
Dilbert comic strip (10 Sep 1992).
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Connaître, découvrir, communiquer—telle est, au fond, notre honorable destinée.
To get to know, to discover, to publish—this is the destiny of a scientist.
From 'De L’Utiliteé des Pensions', Œuvres complètes de François Arago (1855), Vol. 3, 621. Translation as given in Alan L. MacKay in A Harvest of a Quiet Eye (1977), 10.
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Considerate la vostra semenza:
Fatti non foste a viver come bruti,
Ma per seguir virtute e conoscenza
.
Consider your origins: you were not made to live as brutes, but to follow virtue and knowledge.
Divina Commedia 'Inferno', canto 26, l.118.
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Dilbert: Maybe I’m unlucky in love because I’m so knowledgeable about science that I intimidate people. Their intimidation becomes low self-esteem, then they reject me to protect their egos.
Dogbert: Occam’s Razor.
Dilbert: What is “Occam's Razor”?
Dogbert: A guy named Occam had a rule about the world. Basically he said that when there are multiple explanations for something the simplest explanation is usually correct. The simplest explanation for your poor love life is that you’re immensely unattractive.
Dilbert: Maybe Occam had another rule that specifically exempted this situation, but his house burned down with all his notes. Then he forgot.
Dogbert: Occam’s Razor.
Dilbert: I’m an idiot.
Dogbert: I don’t think we can rule it out at this point.
Dilbert comic strip (11 Jul 1993).
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Discovery always carries an honorific connotation. It is the stamp of approval on a finding of lasting value. Many laws and theories have come and gone in the history of science, but they are not spoken of as discoveries. Kepler is said to have discovered the laws of planetary motion named after him, but no the many other 'laws' which he formulated. ... Theories are especially precarious, as this century profoundly testifies. World views can and do often change. Despite these difficulties, it is still true that to count as a discovery a finding must be of at least relatively permanent value, as shown by its inclusion in the generally accepted body of scientific knowledge.
Discovery in the Physical Sciences (1969). In Rodney P. Carlisle, Scientific American Inventions and Discoveries (2004), 179.
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Error has made man so deep, sensitive, and inventive that he has put forth such blossoms as religions and arts. Pure knowledge could not have been capable of it.
Human, All-To-Human, Vol. 1, 44-45. (1878), 140. In Willard Huntington Wright, What Nietzsche Taught? (1917), 78.
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Felix, qui potuit rerum cognoscere causas.
Blessed is he who has been able to win knowledge of the causes of things.
Virgil
In The Georgics, Book 2, l. 490, as translated by H. Rushton Fairclough, Virgil, Vol. I, Eclogues, Georgics Aeneid I-VI (1916), 150.
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He who doth with the greatest exactness imaginable, weigh every individual thing that shall or hath hapned to his Patient, and may be known from the Observations of his own, or of others, and who afterwards compareth all these with one another, and puts them in an opposite view to such Things as happen in a healthy State; and lastly, from all this with the nicest and severest bridle upon his reasoning faculty riseth to the knowledge of the very first Cause of the Disease, and of the Remedies fit to remove them; He, and only He deserveth the Name of a true Physician.
Aphorism No. 13 in Boerhaave’s Aphorisms: Concerning The Knowledge and Cure of Diseases (1715), 3.
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Ihm in vollem Maaße das Schicksal werde, welches in jeder Erkenntniß, … allezeit der Wahrheit zu Theil ward, der nur ein kurzes Siegesfest beschieden ist, zwischen den beiden langen Zeiträumen, wo sie als parador verdammt und als trivial geringgeschätzt wird.
[It] has always fallen to the lot of truth in every branch of knowledge, … [that] to truth only a brief celebration of victory is allowed between the two long periods during which it is condemned as paradoxical, or disparaged as trivial. The author of truth also usually meets with the former fate.
Conclusion for Preface, written at Dresden in August 1818, first German edition, Die Welt als Wille und Vorstellung, 4 Bücher nebst einem Anhange der die Kritik der Kentischen Philosophie (1819), xvi. As translated by E.F.J. Payne in The World as Will and Representation (1958, 1969), Vol. 1, xvii. In the preface, Schopenhauer is writing his hope that what he has written in the book will be accepted by those it reaches. Notice the statement of three stages of truth: condemnation; acceptance; trivializing. It may be the source of a condensed quote attributed (wrongly?) to Schopenhauer—seen in this collection as the quote that begins, “All truth passes through three stages…”
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In primis, hominis est propria VERI inquisitio atque investigato. Itaque cum sumus negotiis necessariis, curisque vacui, tum avemus aliquid videre, audire, ac dicere, cognitionemque rerum, aut occultarum aut admirabilium, ad benè beatéque vivendum necessariam ducimus; —ex quo intelligitur, quod VERUM, simplex, sincerumque sit, id esse naturæ hominis aptissimum. Huic veri videndi cupiditati adjuncta est appetitio quædam principatûs, ut nemini parere animus benè a naturâ informatus velit, nisi præcipienti, aut docenti, aut utilitatis causâ justè et legitimè imperanti: ex quo animi magnitudo existit, et humanarum rerum contemtio.
Before all other things, man is distinguished by his pursuit and investigation of TRUTH. And hence, when free from needful business and cares, we delight to see, to hear, and to communicate, and consider a knowledge of many admirable and abstruse things necessary to the good conduct and happiness of our lives: whence it is clear that whatsoever is TRUE, simple, and direct, the same is most congenial to our nature as men. Closely allied with this earnest longing to see and know the truth, is a kind of dignified and princely sentiment which forbids a mind, naturally well constituted, to submit its faculties to any but those who announce it in precept or in doctrine, or to yield obedience to any orders but such as are at once just, lawful, and founded on utility. From this source spring greatness of mind and contempt of worldly advantages and troubles.
In De Officiis, Book 1. Sect. 13. As given in epigraph to John Frederick William Herschel, A Preliminary Discourse on the Study of Natural Philosophy (1830), viii.
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Ipsa Scientia potestas est.
For also knowledge itself is power.
'Meditationes Sacrae' (1597), in James Spedding, Robert Ellis and Douglas Heath (eds.), The Works of Francis Bacon (1887-1901), Vol. 7, 253.
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La savoir a son prix.
Knowledge has its price.
From 'L’Advantage de la Science' (The Advantage of Knowledge) in Fables and Tales from La Fontaine: In French and English (1734), 119.
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Le savant n’étudie pas la nature parce que cela est utile; il l’étudie parce qu’il y prend plaisir et il y prend plaisir parce qu’elle est belle. Si la nature n’était pas belle, elle ne vaudrait pas la peine d’être connue, la vie ne vaudrait pas la peine d’être vécue.
The scientist does not study nature because it is useful to do so. He studies it because he takes pleasure in it, and he takes pleasure in it because it is beautiful. If nature were not beautiful, it would not be worth knowing, and life would not be worth living. I am not speaking, of course, of the beauty which strikes the senses, of the beauty of qualities and appearances. I am far from despising this, but it has nothing to do with science. What I mean is that more intimate beauty which comes from the harmonious order of its parts, and which a pure intelligence can grasp.
In Science et Méthode (1920), 48, as translated by Francis Maitland, in Science and Method (1908, 1952), 15.
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Le savoir scientifique avance à pas trébuchants, sous le fouet de la contention et du doute.
Scientific knowledge advances haltingly and is stimulated by contention and doubt.
Original French in Mythologiques, Vol. 1, Le Cru et le Cuit (1964), 15. As translated by John and Doreen Weightman, The Raw and the Cooked (1969, 1990), 7. A more literal translation could be: “Scientific knowledge advances with stumbling steps, under the whip of contention and doubt.”
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Les hommes ne sont pas faits pour savoir; les hommes ne sont pas faits pour comprendre … et nos illusions croissent avec nos connaissances.
Men are not created to know, men are not created to understand … and our illusions increase with our knowledge.
From the fictional Dr. Trublet in Histoire Comique (1900), 212. As translated in Lewis P. Shanks, Anatole France (1919), 165. Shanks comments that Anatole France was writing, not as “an idealist of science, but as a skeptic content to accept truths merely pragmatic. … Trublet has lost faith in absolute truth.”
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Lyveris to-forn us
Useden to marke
For selkouthes that thei seighen,
Hir sones for to teche;
And helden it an heigh science
Hir wittes to knowe.
Ac thorugh hir science soothly
Was nevere no soule y-saved,
Ne broght by hir bokes
To blisse ne to joye;
For alle hir kynde knowynges
Come but of diverse sightes.
Patriarkes and prophetes
Repreveden hir science,
And seiden hir wordes and hir wisdomes
Nas but a folye
And to the clergie of Crist
Counted it but a trufle.

Our ancestors in olden days used to record
The strange things they saw, and teach them to their sons;
And they held it a high science, to have knowledge of such things.
But no soul was ever saved by all that science,
Nor brought by books into eternal bliss;
Their science was only a series of sundry observations.
So patriarchs and prophets disapproved of their science,
And said their so-called words of wisdom were but folly—
And compared with Christian philosophy, a contemptible thing.
In William Langland and B. Thomas Wright (ed.) The Vision and Creed of Piers Ploughman (1842), 235-236. Modern translation by Terrence Tiller in Piers Plowman (1981, 1999), 123.
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Mathematical Knowledge adds a manly Vigour to the Mind, frees it from Prejudice, Credulity, and Superstition.
In An Essay On the Usefulness of Mathematical Learning, (1701), 7.
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Negative Capability, that is when man is capable of being in uncertainties, Mysteries, doubts, without any irritable reaching after fact & reason—Coleridge, for instance, would let go by a fine isolated verisimilitude caught from the Penetralium of mystery, from being incapable of remaining content with half knowledge.
Letter to George and Thomas Keats (21 Dec 1817). In H. E. Rollins (ed.), Letters of John Keats (1958), Vol. 1, 193-4.
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Non possunt oculi naturam noscere rerum
The eyes cannot know the nature of things.
In De Rerum Natura (c. 55 B.C.), Book 4, line 385. Translated by Rev. John Selby Watson, On the Nature of Things (1851).
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Ogni nostra cognitione prīcipia da sentimēti.
All our knowledge has its origin in our preceptions.
Tr. 45. As translated by Jean Paul Richter, in 'Philosophical Maxims', The Literary Works of Leonardo da Vinci: Compiled and Edited from the Original Manuscripts (1883), Vol. 2, 288, Maxim 1147.
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On examinations: Das Wissen ist der Tad der Forschung.
Knowledge is the death of research.
Nernst's motto.
Erwin N. Hiebert, 'Hermann Walther Nemst', in C. C. Gillispie (ed.), The Dictionary of Scientific Biography (1981), Supplement, Vol. 15, 450.
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Patience passe science
Patience surpasses knowledge.
Motto
Motto under Coat of Arms of Viscount Falmouth. In The Royal Kalendar (1813), 14.
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Question: Show how the hypothenuse face of a right-angled prism may be used as a reflector. What connection is there between the refractive index of a medium and the angle at which an emergent ray is totally reflected?
Answer: Any face of any prism may be used as a reflector. The con nexion between the refractive index of a medium and the angle at which an emergent ray does not emerge but is totally reflected is remarkable and not generally known.
Genuine student answer* to an Acoustics, Light and Heat paper (1880), Science and Art Department, South Kensington, London, collected by Prof. Oliver Lodge. Quoted in Henry B. Wheatley, Literary Blunders (1893), 182-3, Question 29. (*From a collection in which Answers are not given verbatim et literatim, and some instances may combine several students' blunders.)
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Question: Why do the inhabitants of cold climates eat fat? How would you find experimentally the relative quantities of heat given off when equal weights of sulphur, phosphorus, and carbon are thoroughly burned?
Answer: An inhabitant of cold climates (called Frigid Zoans) eats fat principally because he can't get no lean, also because he wants to rise is temperature. But if equal weights of sulphur phosphorus and carbon are burned in his neighbourhood he will give off eating quite so much. The relative quantities of eat given off will depend upon how much sulphur etc. is burnt and how near it is burned to him. If I knew these facts it would be an easy sum to find the answer.
Genuine student answer* to an Acoustics, Light and Heat paper (1880), Science and Art Department, South Kensington, London, collected by Prof. Oliver Lodge. Quoted in Henry B. Wheatley, Literary Blunders (1893), 183, Question 32. (*From a collection in which Answers are not given verbatim et literatim, and some instances may combine several students' blunders.)
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Sapere aude.
Dare to be wise.
[Alternate: Dare to know.]
Horace
Epistles bk. 1, no. 2, 1. 40. In Satires, Epistles and Ars Poetica, trans. H. Rushton Fairclough (1926), 264-5.
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Science sans conscience n’est que le ruine de l’âme.
Knowledge without conscience is but the ruine of the soule.
In Gargantua and Pantagruel (1532-64), book 2, chap. 8, trans. Thomas Urquhart and Peter Le Motteux (1934), Vol. 1, 204
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Ueber den Glauben lässt sich wissenschaftlich nicht rechten, denn die Wissenschaft und der Glaube schliessen sich aus. Nicht so, dass der eine die andere unmöglich machte oder umgekehrt, sondern so, dass, soweit die Wissenschaft reicht, kein Glaube existirt und der Glaube erst da anfangen darf, wo die Wissenschaft aufhört. Es lässt „sich nicht läugnen, dass, wenn diese Grenze eingehalten wird, der Glaube wirklich reale Objekte haben kann. Die Aufgabe der Wissenschaft ist es daher nicht, die Gegenstände des Glaubens anzugreifen, sondern nur die Grenzen zu stecken, welche die Erkenntniss erreichen kann, und innerhalb derselben das einheitliche Selbstbewusstsein zu begründen.
There is no scientific justification for faith, for science and faith are mutually exclusive. Not that one made the other impossible, or vice versa, but that, as far as science goes, there is no faith, and faith can only begin where science ends. It can not be denied that, if this limit is adhered to, faith can really have real objects. The task of science, therefore, is not to attack the objects of faith, but merely to set the limits which knowledge can attain and to establish within it the unified self-esteem.
Original German from 'Der Mensch' (1849), collected in Gesammelte abhandlungen zur wissenschaftlichen medicin (1856), 6. Webmaster used Google translate for the English version. This longer quote unites the shorter quotes from within it shown separately on the Rudolf Virchow quotations page, with alternative translations, which begin: “There can be no scientific dispute…”, “Belief has no place…”, and “The task of science…”.
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Where faith commences, science ends. Both these arts of the human mind must be strictly kept apart from each other. Faith has its origin in the poetic imagination; knowledge, on the other hand, originates in the reasoning intelligence of man. Science has to pluck the blessed fruits from the tree of knowledge, unconcerned whether these conquests trench upon the poetical imaginings of faith or not.
In Ernst Haeckel and E. Ray Lankester (trans.), The History of Creation (1880), Vol. 1, 9.
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Wir mussen wissen. Wir werden wissen.
We must know. We will know.
Engraved on his tombstone in Göttingen. Lecture at Konigsberg, 1930. Gesammelte Abhandlungen, Vol. 3, 387, trans. Ivor Grattan-Guinness.
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~~[Attributed, authorship undocumented]~~ Mathematical demonstrations are a logic of as much or more use, than that commonly learned at schools, serving to a just formation of the mind, enlarging its capacity, and strengthening it so as to render the same capable of exact reasoning, and discerning truth from falsehood in all occurrences, even in subjects not mathematical. For which reason it is said, the Egyptians, Persians, and Lacedaemonians seldom elected any new kings, but such as had some knowledge in the mathematics, imagining those, who had not, men of imperfect judgments, and unfit to rule and govern.
From an article which appeared as 'The Usefulness of Mathematics', Pennsylvania Gazette (30 Oct 1735), No. 360. Collected, despite being without clear evidence of Franklin’s authorship, in The Works of Benjamin Franklin (1809), Vol. 4, 377. Evidence of actual authorship by Ben Franklin for the newspaper article has not been ascertained, and scholars doubt it. See Franklin documents at the website founders.archives.gov. The quote is included here to attach this caution.
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~~[Attributed]~~ Prudens quaestio dimidium scientiae.
Half of science is asking the right questions.
Also translated as, “To ask the proper question is half of knowing.” Also seen translated as “Half of science is putting forth the right questions,” in Jon R. Stone, The Routledge Dictionary of Latin Quotations (2005), 92. This quote, or a variant, is widely found widely in quote collections and books, but seemingly always without explicit primary source citation. It may have been derived from “Prudens interrogatio quasi dimidium sapientiae.” (A prudent question is, as it were, one half of wisdom), as printed in The Works of Francis Bacon: Philosophical Works (1857), 635. Webmaster has not, as yet, identified a verbatim primary source for the subject quote in Latin. Meanwhile, note the the sense of “scientiae” in Bacon’s time meant “a corpus of human knowledge” rather than the more specific use of the word “science” today. (Sometimes the quote is found attributed to Roger Bacon, which Webmaster, for lack of evidence, currently believes is likely not correct.) [Please contact Webmaster if you can help.]
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~~[Misattributed]~~ The greatest enemy of progress is the illusion of knowledge.
This quote is a variant of one often used by author Daniel Boorstin. Seen misattributed to John Young, for example, in article 'International Space Hall of Fame: John W. Young', New Mexico Museum of Space History, nmspacemuseum.org website. See the Daniel Boorstin Quotes page on this website.
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~~[Unverified]~~ To know that we know what we know, and to know that we do not know what we do not know, that is true knowledge.
Seen spreading across the web, only in recent years. As yet, Webmaster cannot identify a trustworthy primary source, is therefore presently skeptical, and meanwhile labels the quote as unverified.
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~~[Unverified]~~ To really know is science; to merely believe you know is ignorance.
Webmaster, as yet, has found no primary source showing Hippocrates as author for this quote. Although widely seen, it is always without citation. Similar unverified quotes attributed to Hippocrates are: “Science is the father of knowledge, but opinion breeds ignorance,” and “There are, in fact, two things: science and opinion; the former begets knowledge, the latter ignorance.”
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A … difference between most system-building in the social sciences and systems of thought and classification of the natural sciences is to be seen in their evolution. In the natural sciences both theories and descriptive systems grow by adaptation to the increasing knowledge and experience of the scientists. In the social sciences, systems often issue fully formed from the mind of one man. Then they may be much discussed if they attract attention, but progressive adaptive modification as a result of the concerted efforts of great numbers of men is rare.
The Study of Man (1941), 19-20.
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A cat finds it easy to be a cat, as nearly as we can tell. It isn’t afraid to be a cat. But being a full human being is difficult, frightening, and problematical. While human beings love knowledge and seek it—they are curious—they also fear it. The closer to the personal it is, the more they fear
In The Psychology of Science: A Reconnaissance (1966), 16.
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A discovery in science, or a new theory, even when it appears most unitary and most all-embracing, deals with some immediate element of novelty or paradox within the framework of far vaster, unanalysed, unarticulated reserves of knowledge, experience, faith, and presupposition. Our progress is narrow; it takes a vast world unchallenged and for granted. This is one reason why, however great the novelty or scope of new discovery, we neither can, nor need, rebuild the house of the mind very rapidly. This is one reason why science, for all its revolutions, is conservative. This is why we will have to accept the fact that no one of us really will ever know very much. This is why we shall have to find comfort in the fact that, taken together, we know more and more.
Science and the Common Understanding (1954), 53-4.
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A discovery must be, by definition, at variance with existing knowledge. During my lifetime, I made two. Both were rejected offhand by the popes of the field. Had I predicted these discoveries in my applications, and had those authorities been my judges, it is evident what their decisions would have been.
In 'Dionysians and Apollonians', Science (2 Jun 1972), 176, 966. Reprinted in Mary Ritchie Key, The Relationship of Verbal and Nonverbal Communication (1980), 318.
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A distinguished writer [Siméon Denis Poisson] has thus stated the fundamental definitions of the science:
“The probability of an event is the reason we have to believe that it has taken place, or that it will take place.”
“The measure of the probability of an event is the ratio of the number of cases favourable to that event, to the total number of cases favourable or contrary, and all equally possible” (equally like to happen).
From these definitions it follows that the word probability, in its mathematical acceptation, has reference to the state of our knowledge of the circumstances under which an event may happen or fail. With the degree of information which we possess concerning the circumstances of an event, the reason we have to think that it will occur, or, to use a single term, our expectation of it, will vary. Probability is expectation founded upon partial knowledge. A perfect acquaintance with all the circumstances affecting the occurrence of an event would change expectation into certainty, and leave neither room nor demand for a theory of probabilities.
An Investigation of the Laws of Thought (1854), 243-244. The Poisson quote is footnoted as from Recherches sur la Probabilité des Jugemens.
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A game is on, at the other end of this infinite distance, and heads or tails will turn up. What will you wager? According to reason you cannot leave either; according to reason you cannot leave either undone... Yes, but wager you must; there is no option, you have embarked on it. So which will you have. Come. Since you must choose, let us see what concerns you least. You have two things to lose: truth and good, and two things to stake: your reason and your will, your knowledge and your happiness. And your nature has two things to shun: error and misery. Your reason does not suffer by your choosing one more than the other, for you must choose. That is one point cleared. But your happiness? Let us weigh gain and loss in calling heads that God is. Reckon these two chances: if you win, you win all; if you lose, you lose naught. Then do not hesitate, wager that He is.
Pensées (1670), Section I, aphorism 223. In H. F. Stewart (ed.), Pascal's Pensées (1950), 117-119.
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A good teacher must know the rules; a good pupil, the exceptions.
Martin H. Fischer, Howard Fabing (ed.) and Ray Marr (ed.), Fischerisms (1944).
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A good title should aim at making what follows as far as possible superfluous to those who know anything of the subject.
Samuel Butler, Henry Festing Jones (ed.), The Note-Books of Samuel Butler (1917), 229.
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A great department of thought must have its own inner life, however transcendent may be the importance of its relations to the outside. No department of science, least of all one requiring so high a degree of mental concentration as Mathematics, can be developed entirely, or even mainly, with a view to applications outside its own range. The increased complexity and specialisation of all branches of knowledge makes it true in the present, however it may have been in former times, that important advances in such a department as Mathematics can be expected only from men who are interested in the subject for its own sake, and who, whilst keeping an open mind for suggestions from outside, allow their thought to range freely in those lines of advance which are indicated by the present state of their subject, untrammelled by any preoccupation as to applications to other departments of science. Even with a view to applications, if Mathematics is to be adequately equipped for the purpose of coping with the intricate problems which will be presented to it in the future by Physics, Chemistry and other branches of physical science, many of these problems probably of a character which we cannot at present forecast, it is essential that Mathematics should be allowed to develop freely on its own lines.
In Presidential Address British Association for the Advancement of Science, Sheffield, Section A, Nature (1 Sep 1910), 84, 286.
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A great man, [who] was convinced that the truths of political and moral science are capable of the same certainty as those that form the system of physical science, even in those branches like astronomy that seem to approximate mathematical certainty.
He cherished this belief, for it led to the consoling hope that humanity would inevitably make progress toward a state of happiness and improved character even as it has already done in its knowledge of the truth.
Describing administrator and economist Anne-Robert-Jacques Turgot in Essai sur l’application de l’analyse à la probabilité des décisions rendues à la pluralité des voix (1785), i. Cited epigraph in Charles Coulston Gillispie, Science and Polity in France: The End of the Old Regime (2004), 3
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A great surgeon performs operations for stone by a single method; later he makes a statistical summary of deaths and recoveries, and he concludes from these statistics that the mortality law for this operation is two out of five. Well, I say that this ratio means literally nothing scientifically and gives us no certainty in performing the next operation; for we do not know whether the next case will be among the recoveries or the deaths. What really should be done, instead of gathering facts empirically, is to study them more accurately, each in its special determinism. We must study cases of death with great care and try to discover in them the cause of mortal accidents so as to master the cause and avoid the accidents.
From An Introduction to the Study of Experimental Medicine (1865), as translated by Henry Copley Greene (1957), 137-138. (Note that Bernard overlooks how the statistical method can be useful: a surgeon announcing a mortality rate of 40% invites comparison. A surgeon with worse outcomes should adopt this method. If a surgeon has a better results, that method should be adopted.)
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A hundred years ago … an engineer, Herbert Spencer, was willing to expound every aspect of life, with an effect on his admiring readers which has not worn off today.
Things do not happen quite in this way nowadays. This, we are told, is an age of specialists. The pursuit of knowledge has become a profession. The time when a man could master several sciences is past. He must now, they say, put all his efforts into one subject. And presumably, he must get all his ideas from this one subject. The world, to be sure, needs men who will follow such a rule with enthusiasm. It needs the greatest numbers of the ablest technicians. But apart from them it also needs men who will converse and think and even work in more than one science and know how to combine or connect them. Such men, I believe, are still to be found today. They are still as glad to exchange ideas as they have been in the past. But we cannot say that our way of life is well-fitted to help them. Why is this?
In 'The Unification of Biology', New Scientist (11 Jan 1962), 13, No. 269, 72.
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A knowledge of the specific element in disease is the key to medicine.
In Armand Trousseau, as translated by P. Victor and John Rose Cormack, Lectures on Clinical Medicine: Delivered at the Hôtel-Dieu, Paris (1873), Vol. 1, 452.
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A learned man is an idler who kills time with study. Beware of his false knowledge: it is more dangerous than ignorance.
In 'Maxims for Revolutionists: Education', in Man and Superman (1905), 230.
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A little knowledge is dangerous. So is a lot.
…...
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A little science is something that they must have. I should like my nephews to know what air is, and water; why we breathe, and why wood burns; the nutritive elements essential to plant life, and the constituents of the soil. And it is no vague and imperfect knowledge from hearsay I would have them gain of these fundamental truths, on which depend agriculture and the industrial arts and our health itself; I would have them know these things thoroughly from their own observation and experience. Books here are insufficient, and can serve merely as aids to scientific experiment.
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A love affair with knowledge will never end in heartbreak.
…...
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A Man of Knowledge like a rich Soil, feeds
If not a world of Corn, a world of Weeds.
In Poor Richard's Almanack (1739).
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A man who is all theory is like “a rudderless ship on a shoreless sea.” … Theories and speculations may be indulged in with safety only as long as they are based on facts that we can go back to at all times and know that we are on solid ground.
In Nature's Miracles: Familiar Talks on Science (1899), Vol. 1, Introduction, vii.
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A moment’s consideration of this case shows what a really great advance in the theory and practise of breeding has been obtained through the discovery of Mendel’s law. What a puzzle this case would have presented to the biologist ten years ago! Agouti crossed with chocolate gives in the second filial generation (not in the first) four varieties, viz., agouti, chocolate, black and cinnamon. We could only have shaken our heads and looked wise (or skeptical).
Then we had no explanation to offer for such occurrences other than the “instability of color characters under domestication,” the “effects of inbreeding,” “maternal impressions.” Serious consideration would have been given to the proximity of cages containing both black and cinnamon-agouti mice.
Now we have a simple, rational explanation, which anyone can put to the test. We are able to predict the production of new varieties, and to produce them.
We must not, of course, in our exuberance, conclude that the powers of the hybridizer know no limits. The result under consideration consists, after all, only in the making of new combinations of unit characters, but it is much to know that these units exist and that all conceivable combinations of them are ordinarily capable of production. This valuable knowledge we owe to the discoverer and to the rediscoverers of Mendel’s law.
'New Colour Variety of the Guinea Pig', Science, 1908, 28, 250-252.
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A nation which depends upon others for its new basic scientific knowledge will be slow in its industrial progress and weak in its competitive position in world trade, regardless of its mechanical skill.
Quoted by Edwin T. Layton, Jr., in 'American Ideologies of Science and Engineering', Technology and Culture (1976), 17, 689. As cited in Arie Leegwater, 'Technology and Science', Stephen V. Monsma (ed.), Responsible Technology: A Christian Perspective (1986), 79.
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A natural law regulates the advance of science. Where only observation can be made, the growth of knowledge creeps; where laboratory experiments can be carried on, knowledge leaps forward.
[Attributed, probably incorrectly]
Seen in various places, but Webmaster has found none with a source citation, and doubts the authenticity, because none found with attribution to Faraday prior to 1950. The earliest example Webmaster found is in 1929, by Walter Morley Fletcher in his Norman Lockyer Lecture. He refers to it as a “truism,” without mention of Faraday. He says “law of our state of being” rather than “natural law.” See the Walter Morley Fletcher page for more details.
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A patient pursuit of facts, and cautious combination and comparison of them, is the drudgery to which man is subjected by his Maker, if he wishes to attain sure knowledge.
In 'Productions Mineral, Vegetable and Animal', Notes on the State of Virginia (1787), 112.
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A science is not mere knowledge, it is knowledge which has undergone a process of intellectual digestion. It is the grasp of many things brought together in one, and hence is its power; for, properly speaking, it is Science that is power, not Knowledge..,
Discourses on the Scope and Nature of University Education. Addressed to the Catholics of Dublin (1852), Discourse 5, 144.
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A scientist has to be neutral in his search for the truth, but he cannot be neutral as to the use of that truth when found. If you know more than other people, you have more responsibility, rather than less.
Attributed as a quote, without citation, in J. Robert Moskin, Morality in America (1966), 61. Please contact webmaster if you know a primary print source.
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A scientist is happy, not in resting on his attainments but in the steady acquisition of fresh knowledge.
The Philosophy of Physics. Collected in The New Science: 3 Complete Works (1959), 253.
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A scientist lives with all reality. There is nothing better. To know reality is to accept it, and eventually to love it.
Nobel banquet speech (10 Dec 1967). In Ragnar Granit (ed.), Les Prix Nobel en 1967 (1968).
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A scientist should be the happiest of men. Not that science isn't serious; but as everyone knows, being serious is one way of being happy, just as being gay is one way of being unhappy.
Nobel banquet speech (10 Dec 1967). In Ragnar Granit (ed.), Les Prix Nobel en 1967 (1968).
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A scientist strives to understand the work of Nature. But with our insufficient talents as scientists, we do not hit upon the truth all at once. We must content ourselves with tracking it down, enveloped in considerable darkness, which leads us to make new mistakes and errors. By diligent examination, we may at length little by little peel off the thickest layers, but we seldom get the core quite free, so that finally we have to be satisfied with a little incomplete knowledge.
Lecture to the Royal Swedish Academy of Science, 23 May 1764. Quoted in J. A. Schufle 'Torbern Bergman, Earth Scientist', Chymia, 1967, 12, 78.
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A small overweight of knowledge is often a sore impediment to the movements of common sense.
In The Collected Works of Dr. P.M. Latham (1878), Vol. 2, 388.
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A smattering of everything is worth little. It is a fallacy to suppose that an encyclopaedic knowledge is desirable. The mind is made strong, not through much learning, but by the thorough possession of something.
Lecture at a teaching laboratory on Penikese Island, Buzzard's Bay. Quoted from the lecture notes by David Starr Jordan, Science Sketches (1911), 145.
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A strict materialist believes that everything depends on the motion of matter. He knows the form of the laws of motion though he does not know all their consequences when applied to systems of unknown complexity.
Now one thing in which the materialist (fortified with dynamical knowledge) believes is that if every motion great & small were accurately reversed, and the world left to itself again, everything would happen backwards the fresh water would collect out of the sea and run up the rivers and finally fly up to the clouds in drops which would extract heat from the air and evaporate and afterwards in condensing would shoot out rays of light to the sun and so on. Of course all living things would regrede from the grave to the cradle and we should have a memory of the future but not of the past.
The reason why we do not expect anything of this kind to take place at any time is our experience of irreversible processes, all of one kind, and this leads to the doctrine of a beginning & an end instead of cyclical progression for ever.
Letter to Mark Pattison (7 Apr 1868). In P. M. Hannan (ed.), The Scientific Letters and Papers of James Clerk Maxwell (1995), Vol. 2, 1862-1873, 360-1.
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A study of history shows that civilizations that abandon the quest for knowledge are doomed to disintegration.
In The Observer (14 May 1972), 'Sayings of the Week'. As cited in Bill Swainson, The Encarta Book of Quotations (2000), 579.
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A superficial knowledge of mathematics may lead to the belief that this subject can be taught incidentally, and that exercises akin to counting the petals of flowers or the legs of a grasshopper are mathematical. Such work ignores the fundamental idea out of which quantitative reasoning grows—the equality of magnitudes. It leaves the pupil unaware of that relativity which is the essence of mathematical science. Numerical statements are frequently required in the study of natural history, but to repeat these as a drill upon numbers will scarcely lend charm to these studies, and certainly will not result in mathematical knowledge.
In Primary Arithmetic: First Year, for the Use of Teachers (1897), 26-27.
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A superficial knowledge of mathematics may lead to the belief that this subject can be taught incidentally, and that exercises akin to counting the petals of flowers or the legs of a grasshopper are mathematical. Such work ignores the fundamental idea out of which quantitative reasoning grows—the equality of magnitudes. It leaves the pupil unaware of that relativity which is the essence of mathematical science. Numerical statements are frequently required in the study of natural history, but to repeat these as a drill upon numbers will scarcely lend charm to these studies, and certainly will not result in mathematical knowledge.
In Primary Arithmetic: First Year, for the Use of Teachers (1897), 26-27.
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A teacher of mathematics has a great opportunity. If he fills his allotted time with drilling his students in routine operations he kills their interest, hampers their intellectual development, and misuses his opportunity. But if he challenges the curiosity of his students by setting them problems proportionate to their knowledge, and helps them to solve their problems with stimulating questions, he may give them a taste for, and some means of, independent thinking.
In How to Solve It (1948), Preface.
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A tree is known better by its Fruit, than its Leaves.
No. 444 in Gnomologia: Adagies and Proverbs, Wise Sentences and Witty Sayings (1732), 17. Compare with No. 4280, “Such as the Tree, such is the Fruit”, p.183.
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A young man passes from our public schools to the universities, ignorant almost of the elements of every branch of useful knowledge.
Reflections on the Decline of Science in England and on Some of its Causes (1830), 3.
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About 6 or 8 years ago My Ingenious friend Mr John Robinson having [contrived] conceived that a fire engine might be made without a Lever—by Inverting the Cylinder & placing it above the mouth of the pit proposed to me to make a model of it which was set about by having never Compleated & I [being] having at that time Ignorant little knoledge of the machine however I always thought the Machine Might be applied to [more] other as valuable purposes [than] as drawing Water.
Entry in notebook (1765). The bracketed words in square brackets were crossed out by Watt. in Eric Robinson and Douglas McKie (eds.), Partners in Science: Letters of James Watt and Joseph Black (1970), 434.
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Acceleration of knowledge generation also emphasizes the need for lifelong education. The trained teacher, scientist or engineer can no longer regard what they have learned at the university as supplying their needs for the rest of their lives.
In article Total Quality: Its Origins and its Future (1995), published at the Center for Quality and Productivity Improvement.
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According to Gandhi, the seven sins are wealth without works, pleasure without conscience, knowledge without character, commerce without morality, science without humanity, worship without sacrifice, and politics without principle. Well, Hubert Humphrey may have sinned in the eyes of God, as we all do, but according to those definitions of Gandhi’s, it was Hubert Humphrey without sin.
Eulogy at funeral of Vice President Hubert Humphrey, St. Paul, Minnesota (16 Jan 1978). In Public Papers of the Presidents of the United States: Jimmy Carter (1978), Vol. 1, 82.
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According to my views, aiming at quantitative investigations, that is at establishing relations between measurements of phenomena, should take first place in the experimental practice of physics. By measurement to knowledge [door meten tot weten] I should like to write as a motto above the entrance to every physics laboratory.
'The Significance of Quantitative Research in Physics', Inaugural Address at the University of Leiden (1882). In Hendrik Casimir, Haphazard Reality: Half a Century of Science (1983), 160-1.
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Activity is the only road to knowledge.
In 'Maxims for Revolutionists: Education', in Man and Superman (1905), 230.
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After … the general experimental knowledge has been acquired, accompanied with just a sufficient amount of theory to connect it together…, it becomes possible to consider the theory by itself, as theory. The experimental facts then go out of sight, in a great measure, not because they are unimportant, but because … they are fundamental, and the foundations are always hidden from view in well-constructed buildings.
In Electromagnetic Theory (1892), Vol. 2, 1.
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After Gibbs, one the most distinguished [American scientists] was Langley, of the Smithsonian. … He had the physicist’s heinous fault of professing to know nothing between flashes of intense perception. … Rigidly denying himself the amusement of philosophy, which consists chiefly in suggesting unintelligible answers to insoluble problems, and liked to wander past them in a courteous temper, even bowing to them distantly as though recognizing their existence, while doubting their respectability.
The Education of Henry Adams: An Autobiography? (1918), 377.
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Aging is an inevitable process. I surely wouldn't want to grow younger. The older you become, the more you know; your bank account of knowledge is much richer.
Found in several quote books, but without citation, for example, in Tom Crisp, The Book of Bill: Choice Words Memorable Men (2009), 220. If you know the primary source, please contact Webmaster.
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All good intellects have repeated, since Bacon’s time, that there can be no real knowledge but that which is based on observed facts. This is incontestable, in our present advanced stage; but, if we look back to the primitive stage of human knowledge, we shall see that it must have been otherwise then. If it is true that every theory must be based upon observed facts, it is equally true that facts cannot be observed without the guidance of some theory. Without such guidance, our facts would be desultory and fruitless; we could not retain them: for the most part we could not even perceive them.
The Positive Philosophy, trans. Harriet Martineau (1853), Vol. 1, 3-4.
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All great achievements in science start from intuitive knowledge, namely, in axioms, from which deductions are then made. … Intuition is the necessary condition for the discovery of such axioms.
In Conversations with Einstein by Alexander Moszkowski (1970).
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All human knowledge begins with intuitions, proceeds from thence to concepts, and ends with ideas.
Critique of Pure Reason (1781, 1787), B 730. As translated by Norman Kemp Smith in Immanuel Kant's Critique of Pure Reason (1929), 569. Also translated in an epigraph as “All human knowledge thus begins with intuitions, proceeds thence to concepts, and ends with ideas,” in David Hilbert and E.J. Townsend (trans.), 'Introduction', Foundations of Geometry (1902), 1, citing Kant, Kritik der reinen Vernunft, Elementarlehre, Part 2, Sec. 2.
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All knowledge and understanding of the Universe was no more than playing with stones and shells on the seashore of the vast imponderable ocean of truth.
…...
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All knowledge attains its ethical value and its human significance only by the human sense with which it is employed. Only a good man can be a great physician.
Inaugural address (1882), quoted in Johann Hermann Baas, Henry Ebenezer Handerson (trans.), Outlines of the History of Medicine and the Medical Profession (1889), 966.
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All knowledge degenerates into probability.
A Treatise on Human Nature (1739-40), ed. L. A. Selby-Bigge (1888), book 1, part 4, section 1, 180.
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All knowledge has an ultimate goal. Knowledge for the sake of knowledge is, say what you will, nothing but a dismal begging of the question.
Tragic Sense of Life (1913), translated by John Ernest Crawford Flitch (1954), 90.
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All knowledge is good. It is impossible to say any fragment of knowledge, however insignificant or remote from one’s ordinary pursuits, may not some day be turned to account.
'Address on University Education' (12 Sep 1876) delivered at the formal opening of the Johns Hopkins University at Baltimore. Collected in Science and Education: Essays (1897), 248.
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All knowledge is profitable; profitable in its ennobling effect on the character, in the pleasure it imparts in its acquisition, as well as in the power it gives over the operations of mind and of matter. All knowledge is useful; every part of this complex system of nature is connected with every other. Nothing is isolated. The discovery of to-day, which appears unconnected with any useful process, may, in the course of a few years, become the fruitful source of a thousand inventions.
In 'Report of the Secretary', Sixth Annual Report of the Board of Regents of the Smithsonian Institution for 1851 (1852), 10.
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All knowledge resolves itself into probability. ... In every judgment, which we can form concerning probability, as well as concerning knowledge, we ought always to correct the first judgment deriv’d from the nature of the object, by another judgment, deriv’d from the nature of the understanding.
In A treatise of Human Nature (1888), 181-182.
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All men by nature desire knowledge.
Aristotle
…...
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All men by nature desire to know.
Aristotle
Metaphysics, 980a, 21. In Jonathan Barnes (ed.), The Complete Works of Aristotle (1984), Vol. 2, 1552.
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All of my knowledge, of both science and religion, I incorporate into the classical tradition of my painting.
In G. Barry Golson (ed.), The Playboy Interview II (1983), 35.
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All our knowledge derived from observation … is knowledge gotten at first hand. Hereby we see and know things as they are, or as they appear to us; we take the impressions of them on our minds from the original objects themselves which give a clearer and stronger conception of things.
In Interesting Anecdotes, Memoirs, Allegories, Essays, and Poetical Fragments (1793), Vols 3-4, Vol 4, 72.
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All our knowledge has been built communally; there would be no astrophysics, there would be no history, there would not even be language, if man were a solitary animal. What follows? It follows that we must be able to rely on other people; we must be able to trust their word. That is, it follows that there is a principle, which binds society together because without it the individual would be helpless to tell the truth from the false. This principle is truthfulness.
In Lecture at M.I.T. (19 Mar 1953), collected in 'The Sense of Human Dignity', Science and Human Values (1956, 1990), 57.
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All our knowledge merely helps us to die a more painful death than the animals that know nothing. A day will come when science will turn upon its error and no longer hesitate to shorten our woes. A day will come when it will dare and act with certainty; when life, grown wiser, will depart silently at its hour, knowing that it has reached its term.
Our Eternity, translated by Alexander Teixeira de Mattos (1913), 24.
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All palaetiological sciences, all speculations which attempt to ascend from the present to the remote past, by the chain of causation, do also, by an inevitable consequence, urge us to look for the beginning of the state of things which we thus contemplate; but in none of these cases have men been able, by the aid of science, to arrive at a beginning which is homogeneous with the known course of events. The first origin of language, of civilization, of law and government, cannot be clearly made out by reasoning and research; and just as little, we may expect, will a knowledge of the origin of the existing and extinct species of plants and animals, be the result of physiological and geological investigation.
In History of the Inductive Sciences (1837), Vol. 3, 581.
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All schools, all colleges have two great functions: to confer, and to conceal valuable knowledge.
(5 Nov 1908). 'More Maxims of Mark,' Mark Twain Collected Tales, Sketches, Speeches, & Essays, 1891-1910 (1992), 941. In Mark Twain and Brian Collins (ed.), When in Doubt, Tell the Truth: and Other Quotations from Mark Twain (1996), 43.
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All science is full of statements where you put your best face on your ignorance, where you say: … we know awfully little about this, but more or less irrespective of the stuff we don’t know about, we can make certain useful deductions.
From Assumption and Myth in Physical Theory (1967), 11.
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All talk about science purely for its practical and wealth-producing results is … idle. … Practical results will follow right enough. No real knowledge is sterile. … With this faith in the ultimate usefulness of all real knowledge a man may proceed to devote himself to a study of first causes without apology, and without hope of immediate return.
A.V. Hill
Quoted in Larry R. Squire (ed.), The History of Neuroscience in Autobiography (1996), Vol. 1, 350-351. The above is a highlight excerpted from a longer quote beginning “To prove to an indignant questioner ….” in this same collection for A. V. Hill.
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All that Anatomie can doe is only to shew us the gross and sensible parts of the body, or the vapid and dead juices all which, after the most diligent search, will be noe more able to direct a physician how to cure a disease than how to make a man; for to remedy the defects of a part whose organicall constitution and that texture whereby it operates, he cannot possibly know, is alike hard, as to make a part which he knows not how is made. Now it is certaine and beyond controversy that nature performs all her operations on the body by parts so minute and insensible that I thinke noe body will ever hope or pretend, even by the assistance of glasses or any other intervention, to come to a sight of them, and to tell us what organicall texture or what kinde offerment (for whether it be done by one or both of these ways is yet a question and like to be soe always notwithstanding all the endeavours of the most accurate dissections) separate any part of the juices in any of the viscera, or tell us of what liquors the particles of these juices are, or if this could be donne (which it is never like to be) would it at all contribute to the cure of the diseases of those very parts which we so perfectly knew.
'Anatomie' (1668). Quoted in Kenneth Dewhurst (ed.), Dr. Thomas Sydenham (1624-1689): His Life and Original Writings (1966), 85-6.
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All that can be said upon the number and nature of elements is, in my opinion, confined to discussions entirely of a metaphysical nature. The subject only furnishes us with indefinite problems, which may be solved in a thousand different ways, not one of which, in all probability, is consistent with nature. I shall therefore only add upon this subject, that if, by the term elements, we mean to express those simple and indivisible atoms of which matter is composed, it is extremely probable we know nothing at all about them; but, if we apply the term elements, or principles of bodies, to express our idea of the last point which analysis is capable of reaching, we must admit, as elements, all the substances into which we are capable, by any means, to reduce bodies by decomposition.
Elements of Chemistry (1790), trans. R. Kerr, Preface, xxiv.
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All that passes for knowledge can be arranged in a hierarchy of degrees of certainty, with arithmetic and the facts of perception at the top.
From 'Philosophy For Laymen', collected in Unpopular Essays (1950, 1996), 39.
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All that science can achieve is a perfect knowledge and a perfect understanding of the action of natural and moral forces.
…...
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All the human culture, all the results of art, science and technology that we see before us today, are almost exclusively the creative product of the Aryan. This very fact admits of the not unfounded inference that he alone was the founder of all higher humanity, therefore representing the prototype of all that we understand by the word 'man.' He is the Prometheus of mankind from whose shining brow the divine spark of genius has sprung at all times, forever kindling anew that fire of knowledge which illuminated the night of silent mysteries and thus caused man to climb the path to mastery over the other beings of the earth ... It was he who laid the foundations and erected the walls of every great structure in human culture.
Mein Kampf (1925-26), American Edition (1943), 290. In William Lawrence Shirer, The Rise and Fall of the Third Reich (1990), 86-87.
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All the knowledge we have of nature depends upon facts; for without observations and experiments our natural philosophy would only be a science of terms and an unintelligible jargon.
First sentence of 'Preface', Course of Experimental Philosophy (1745), Vol. 1, v.
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All the real true knowledge we have of Nature is intirely experimental, insomuch that, how strange soever the assertion seems, we may lay this down as the first fundamental unerring rule in physics, That it is not within the compass of human understanding to assign a purely speculative reason for any one phaenomenon in nature.
In The Procedure, Extent, and Limits of Human Understanding (1728, 1729), 205-206.
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All things are made of atoms—little particles that move around in perpetual motion, attracting each other when they are a little distance apart, but repelling upon being squeezed into one another. In that one sentence ... there is an enormous amount of information about the world.
His suggestion that the most valuable information on scientific knowledge in a single sentence using the fewest words is to state the atomic hypothesis.
Six Easy Pieces (1995), 4.
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Almost all great advances have sprung originally from disinterested motives. Scientific discoveries have been made for their own sake and not for their utilization, and a race of men without a disinterested love of knowledge would never have achieved our present scientific technique. … Faraday, Maxwell, and Hertz, so far as can be discovered, never for a moment considered the possibility of any practical application of their investigations.
In The Scientific Outlook (1931), 152-153.
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Almost all of the space program’s important advances in scientific knowledge have been accomplished by hundreds of robotic spacecraft in orbit about Earth and on missions to the distant planets Mercury, Venus, Mars, Jupiter, Saturn, Uranus, and Neptune. Robotic exploration of the planets and their satellites as well as of comets and asteroids has truly revolutionized our knowledge of the solar system.
In 'Is Human Spaceflight Obsolete?', Issues in Science and Technology (Summer 2004).
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Almost all the greatest discoveries in astronomy have resulted from what we have elsewhere termed Residual Phenomena, of a qualitative or numerical kind, of such portions of the numerical or quantitative results of observation as remain outstanding and unaccounted for, after subducting and allowing for all that would result from the strict application of known principles.
Outlines of Astronomy (1876), 626.
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Almost every reality you “know” at any given second is a mere ghost held in memory.
In 'Reality is a Shared Hallucination', Global Brain: The Evolution of Mass Mind from the Big Bang to the 21st Century (2000), 72.
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Alphonse of Castile is reported to have said that if he had had the making of the universe he would have done it much better. And I think so too. Instead of making a man go through the degradation of faculties and death, he should continually improve with age, and then be translated from this world to a superior planet, where he should begin life with the knowledge gained here, and so on. That would be to my mind, as an old man, a more satisfactory way of conducting affairs
Address, in 'Report to the Chemical Society's Jubilee', Nature (26 Mar 1891), 43, 493.
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Among your pupils, sooner or later, there must be one. who has a genius for geometry. He will be Sylvester’s special pupil—the one pupil who will derive from his master, knowledge and enthusiasm—and that one pupil will give more reputation to your institution than the ten thousand, who will complain of the obscurity of Sylvester, and for whom you will provide another class of teachers.
Letter (18 Sep 1875) recommending the appointment of J.J. Sylvester to Daniel C. Gilman. In Daniel C. Gilman Papers, Ms. 1, Special Collections Division, Milton S. Eisenhower Library, Johns Hopkins University. As quoted in Karen Hunger Parshall, 'America’s First School of Mathematical Research: James Joseph Sylvester at The Johns Hopkins University 1876—1883', Archive for History of Exact Sciences (1988), 38, No. 2, 167.
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An egg is a chemical process, but it is not a mere chemical process. It is one that is going places—even when, in our world of chance and contingency, it ends up in an omelet and not in a chicken. Though it surely be a chemical process, we cannot understand it adequately without knowing the kind of chicken it has the power to become.
'The Changing Impact of Darwin on Philosophy', Journal of the History of Ideas (1961), 22, 457.
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An experiment differs from an observation in this, that knowledge gained through observation seems to appear of itself, while that which an experiment brings us is the fruit of an effort that we make, with the object of knowing whether something exists or does not exist.
Traité sur l'expérience en médecine (1774), Vol. 1, 45. In Claude Bernard, Henry C. Greene, L. J. Henderson, An Introduction to the Study of Experimental Medicine (1957), 6.
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An honest man, armed with all the knowledge available to us now, could only state that in some sense, the origin of life appears at the moment to be almost a miracle, so many are the conditions which would have had to have been satisfied to get it going. But this should not be taken to imply that there are good reasons to believe that it could not have started on the earth by a perfectly reasonable sequence of fairly ordinary chemical reactions. The plain fact is that the time available was too long, the many microenvironments on the earth’s surface too diverse, the various chemical possibilities too numerous and our own knowledge and imagination too feeble to allow us to be able to unravel exactly how it might or might not have happened such a long time ago, especially as we have no experimental evidence from that era to check our ideas against.
In Life Itself: Its Origin and Nature (1981), 88.
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An increase in knowledge acquired too quickly and with too little participation on one’s own part is not very fruitful: erudition can produce foliage without bearing fruit.
Aphorism 26 in Notebook C (1772-1773), as translated by R.J. Hollingdale in Aphorisms (1990). Reprinted as The Waste Books (2000), 36.
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An inventor is an opportunist, one who takes occasion by the hand; who, having seen where some want exists, successfully applies the right means to attain the desired end. The means may be largely, or even wholly, something already known, or there may be a certain originality or discovery in the means employed. But in every case the inventor uses the work of others. If I may use a metaphor, I should liken him to the man who essays the conquest of some virgin alp. At the outset he uses the beaten track, and, as he progresses in the ascent, he uses the steps made by those who have preceded him, whenever they lead in the right direction; and it is only after the last footprints have died out that he takes ice-axe in hand and cuts the remaining steps, few or many, that lift him to the crowning height which is his goal.
In Kenneth Raydon Swan, Sir Joseph Swan (1946), 44.
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Anatomists have ever been engaged in contention. And indeed, if a man has not such a degree of enthusiasm, and love of the art, as will make him impatient of unreasonable opposition and of encroachments upon his discoveries and his reputation, he will hardly become considerable in Anatomy or in any branch of natural knowledge.
Medical Commentaries (1764), Introduction, iii. In Charles Coulston Gillespie (ed.), Dictionary of Scientific Biography (1972), Vol. 6, 569.
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And I do not take my medicines from the apothecaries; their shops are but foul sculleries, from which comes nothing but foul broths. As for you, you defend your kingdom with belly-crawling and flattery. How long do you think this will last? ... let me tell you this: every little hair on my neck knows more than you and all your scribes, and my shoebuckles are more learned than your Galen and Avicenna, and my beard has more experience than all your high colleges.
'Credo', in J. Jacobi (ed.), Paracelsus: Selected Writings (1951), 80.
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And men ought to know that from nothing else but thence [from the brain] come joys, delights, laughter and sports, and sorrows, griefs, despondency, and lamentations. And by this, in an especial manner, we acquire wisdom and knowledge, and see and hear, and know what are foul and hat are fair, what are bad and what are good, what are sweet, and what unsavory... And by the same organ we become mad and delirious, and fears and terrors assail us... All these things we endure from the brain, when it is not healthy... In these ways I am of the opinion that the brain exercises the greatest power in the man. This is the interpreter to us of those things which emanate from the air, when it [the brain] happens to be in a sound state.
The Genuine Works of Hippocrates, trans. Francis Adams (1886), Vol. 2, 344-5.
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And so many think incorrectly that everything was created by the Creator in the beginning as it is seen, that not only the mountains, valleys, and waters, but also various types of minerals occurred together with the rest of the world, and therefore it is said that it is unnecessary to investigate the reasons why they differ in their internal properties and their locations. Such considerations are very dangerous for the growth of all the sciences, and hence for natural knowledge of the Earth, particularly the art of mining, though it is very easy for those clever people to be philosophers, having learnt by heart the three words 'God so created' and to give them in reply in place of all reasons.
About the Layers of the Earth and other Works on Geology (1757), trans. A. P. Lapov (1949), 55.
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And still they gazed and still the wonder grew,
That one small head could carry all he knew.
The Deserted Village: A Poem (1809), 11.
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And this grey spirit yearning in desire, To follow knowledge like a sinking star, beyond the utmost bound of human thought.
From poem, 'Ulysses', collected in The Complete Poetical Works of Tennyson (1909), Vol. 2, 89.
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And this is the ultimate lesson that our knowledge of the mode of transmission of typhus has taught us: Man carries on his skin a parasite, the louse. Civilization rids him of it. Should man regress, should he allow himself to resemble a primitive beast, the louse begins to multiply again and treats man as he deserves, as a brute beast. This conclusion would have endeared itself to the warm heart of Alfred Nobel. My contribution to it makes me feel less unworthy of the honour which you have conferred upon me in his name.
'Investigations on Typhus', Nobel Lecture, 1928. In Nobel Lectures: Physiology or Medicine 1922-1941 (1965), 187.
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And ye who wish to represent by words the form of man and all the aspects of his membrification, get away from that idea. For the more minutely you describe, the more you will confuse the mind of the reader and the more you will prevent him from a knowledge of the thing described. And so it is necessary to draw and describe.
From Notebooks (AnA, 14v; Cf. QII, 1), as translated by J. Playfair McMurrich, in Leonardo da Vinci the Anatomist (1930), 76, (Institution Publication 411, Carnegie Institution of Washington).
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And yet surely to alchemy this right is due, that it may be compared to the husbandman whereof Æsop makes the fable, that when he died he told his sons that he had left unto them gold buried under the ground in his vineyard: and they digged over the ground, gold they found none, but by reason of their stirring and digging the mould about the roots of their vines, they had a great vintage the year following: so assuredly the search and stir to make gold hath brought to light a great number of good and fruitful inventions and experiments, as well for the disclosing of nature as for the use of man's life.
The Advancement of Learning (1605, 1712), Vol. 1, 15.
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And yet the books which then I valued most
Are dearest to me now; for, having scanned,
Not heedlessly, the laws, and watched the forms
Of Nature, in that knowledge I possessed
A standard, often usefully applied,
Even when unconsciously, to things removed
From a familiar sympathy.
From 'The Prelude' in Book 5, collected in Henry Reed (ed.), The Complete Poetical Works of William Wordsworth (1851), 503.
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And, notwithstanding a few exceptions, we do undoubtedly find that the most truly eminent men have had not only their affections, but also their intellect, greatly influenced by women. I will go even farther; and I will venture to say that those who have not undergone that influence betray a something incomplete and mutilated. We detect, even in their genius, a certain frigidity of tone; and we look in vain for that burning fire, that gushing and spontaneous nature with which our ideas of genius are indissolubly associated. Therefore, it is, that those who are most anxious that the boundaries of knowledge should be enlarged, ought to be most eager that the influence of women should be increased, in order that every resource of the human mind may be at once and quickly brought into play.
Lecture (19 Mar 1858) at the Royal Institution, 'The Influence Of Women On The Progress Of Knowledge', collected in The Miscellaneous and Posthumous Works of Henry Thomas Buckle (1872), Vol. 1, 17. Published in Frazier’s Magazine (Apr 1858).
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Another advantage of observation is, that we may gain knowledge all the day long, and every moment of our lives, and every moment of our existence, we may be adding to our intellectual treasures thereby.
In Interesting Anecdotes, Memoirs, Allegories, Essays, and Poetical Fragments (1793), Vols 3-4, Vol 4, 73.
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Another diversity of Methods is according to the subject or matter which is handled; for there is a great difference in delivery of the Mathematics, which are the most abstracted of knowledges, and Policy, which is the most immersed…, yet we see how that opinion, besides the weakness of it, hath been of ill desert towards learning, as that which taketh the way to reduce learning to certain empty and barren generalities; being but the very husks and shells of sciences, all the kernel being forced out and expulsed with the torture and press of the method.
Advancement of Learning, Book 2. In James Spedding, The Works of Francis Bacon (1863), Vol. 6, 292-293. Peter Pešić, explains that 'By Mathematics, he had in mind a sterile and rigid scheme of logical classifications, called dichotomies in his time,' inLabyrinth: A Search for the Hidden Meaning of Science (2001), 73.
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Any ignorance is blank ignorance, because knowledge of any factor requires no ignorance.
'The Relatedness of Nature', The Principle of Relativity (1922, 2007), 22.
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Any increase in knowledge anywhere helps pave the way for an increase in knowledge everywhere.
Epigraph in Isaac Asimov’s Book of Science and Nature Quotations (1988), 243.
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Any one who has studied the history of science knows that almost every great step therein has been made by the “anticipation of Nature,” that is, by the invention of hypotheses, which, though verifiable, often had very little foundation to start with; and, not unfrequently, in spite of a long career of usefulness, turned out to be wholly erroneous in the long run.
In 'The Progress of Science 1837-1887' (1887), Collected Essays (1901), Vol. 1, 62.
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Any true Sherlock Holmes of science, possest of an adequate knowledge of first principles, may unravel a very tangled web of mystery. The great naturalist requires but a few pieces of bone from any prehistoric monster in order to ascertain whether it was herbivorous or carnivorous, reptile or mammal, or even to construct a counterpart of its entire skeleton.
In The Science of Poetry and the Philosophy of Language (1910), ix.
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Any urine that turns black is so extremely malignant that I do not know anyone who has micturated black urine and survived.
As quoted in Robert Taylor, White Coat Tales: Medicine's Heroes, Heritage, and Misadventures (2010), 125.
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Anything at all that can be the object of scientific thought becomes dependent on the axiomatic method, and thereby indirectly on mathematics, as soon as it is ripe for the formation of a theory. By pushing ahead to ever deeper layers of axioms … we become ever more conscious of the unity of our knowledge. In the sign of the axiomatic method, mathematics is summoned to a leading role in science.
Address (11 Sep 1917), 'Axiomatisches Denken' delivered before the Swiss Mathematical Society in Zürich. Translated by Ewald as 'Axiomatic Thought', (1918), in William Bragg Ewald, From Kant to Hilbert (1996), Vol. 2, 1115.
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Apprehension by the senses supplies, directly or indirectly, the material of all human knowledge; or, at least, the stimulus necessary to develop every inborn faculty of the mind.
In 'The Theory of Vision', collected in Science and Culture: Popular and Philosophical Essays (), 127.
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Archimedes possessed so high a spirit, so profound a soul, and such treasures of highly scientific knowledge, that though these inventions [used to defend Syracuse against the Romans] had now obtained him the renown of more than human sagacity, he yet would not deign to leave behind him any commentary or writing on such subjects; but, repudiating as sordid and ignoble the whole trade of engineering, and every sort of art that lends itself to mere use and profit, he placed his whole affection and ambition in those purer speculations where there can be no reference to the vulgar needs of life; studies, the superiority of which to all others is unquestioned, and in which the only doubt can be whether the beauty and grandeur of the subjects examined, or the precision and cogency of the methods and means of proof, most deserve our admiration.
Plutarch
In John Dryden (trans.), Life of Marcellus.
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Archimedes to Eratosthenes greeting. … certain things first became clear to me by a mechanical method, although they had to be demonstrated by geometry afterwards because their investigation by the said method did not furnish an actual demonstration. But it is of course easier, when we have previously acquired by the method, some knowledge of the questions, to supply the proof than it is to find it without any previous knowledge.
As translated by Thomas L. Heath in The Method of Archimedes (1912), 12.
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Architects who have aimed at acquiring manual skill without scholarship have never been able to reach a position of authority to correspond to their pains, while those who relied only upon theories and scholarship were obviously hunting the shadow, not the substance. But those who have a thorough knowledge of both, like men armed at all points, have the sooner attained their object and carried authority with them.
Vitruvius
In De Architectura, Book 1, Chap 1, Sec. 2. As translated in Morris Hicky Morgan (trans.), Vitruvius: The Ten Books on Architecture (1914), 3.
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Ardent desire for knowledge, in fact, is the one motive attracting and supporting investigators in their efforts; and just this knowledge, really grasped and yet always flying before them, becomes at once their sole torment and their sole happiness. Those who do not know the torment of the unknown cannot have the joy of discovery which is certainly the liveliest that the mind of man can ever feel.
From An Introduction to the Study of Experimental Medicine (1927, 1957), 221-222, as translated by Henry Copley Greene. From the original French by Claude Bernard: “Le désir ardent de la connaissance est l’unique mobile qui attire et soutient l’investigateur dans ses efforts; et c’est précisément cette connaissance qu’il saisit réellement et qui fuit cependant toujours devant lui, qui devient à la fois son seul tourment et son seul bonheur. Celui qui ne connaît pas les tourments de l’inconnu doit ignorer les joies de la découverte qui sont certainement les plus vives que l’esprit de l’homme puisse jamais ressentir.” (1865), 388. A Google translation gives: “The ardent desire for knowledge is the only motive which attracts and sustains the inquirer in his efforts; and it is precisely this knowledge which he really grasps and which nevertheless always flees before him, which becomes at the same time his only torment and his only happiness. He who does not know the torments of the unknown must ignore the joys of discovery which are certainly the most vivid that the mind of man can ever experience.”
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Arithmetic, as we shall see by and by, is overdone, in a certain sense, in our schools; just so far as the teaching is based upon the concrete, so far is it profitable; but when the book-makers begin to make it too abstract, as they very often do, it becomes a torture to both teacher and learners, or, at best, a branch of imaginary knowledge unconnected with real life.
From 'Introduction', Mathematical Teaching and its Modern Methods (1886), 10.
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Art includes everything that stimulates the desire to live; science, everything that sharpens the desire to know. Art, even the most disinterested, the most disembodied, is the auxiliary of life.
Rémy de Gourmont and Glenn Stephen Burne (ed.), Selected Writings (1966), 170.
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As each bit of information is added to the sum of human knowledge it is evident that it is the little things that count; that give all the fertility and character; that give all the hope and happiness to human affairs. The concept of bigness is apt to be a delusion, and standardizing processes must not supplant creative impulses.
In Nobel Banquet speech (10 Dec 1934). Collected in Gustaf Santesson (ed.) Les Prix Nobel en 1934 (1935).
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As followers of natural science we know nothing of any relation between thoughts and the brain, except as a gross correlation in time and space.
Man on his Nature (1942), 290.
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As for Lindbergh, another eminent servant of science, all he proved by his gaudy flight across the Atlantic was that God takes care of those who have been so fortunate as to come into the world foolish.
Expressing skepticism that adventure does not necessarily contribute to scientific knowledge.
'Penguin's Eggs'. From the American Mercury (Sep 1930), 123-24. Reprinted in A Second Mencken Chrestomathy: A New Selection from the Writings of America's Legendary Editor, Critic, and Wit (2006), 167.
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As I strayed into the study of an eminent physicist, I observed hanging against the wall, framed like a choice engraving, several dingy, ribbon-like strips of, I knew not what... My curiosity was at once aroused. What were they? ... They might be shreds of mummy-wraps or bits of friable bark-cloth from the Pacific, ... [or] remnants from a grandmother’s wedding dress... They were none of these... He explained that they were carefully-prepared photographs of portions of the Solar Spectrum. I stood and mused, absorbed in the varying yet significant intensities of light and shade, bordered by mystic letters and symbolic numbers. As I mused, the pale legend began to glow with life. Every line became luminous with meaning. Every shadow was suffused with light shining from behind, suggesting some mighty achievement of knowledge; of knowledge growing more daring in proportion to the remoteness of the object known; of knowledge becoming more positive in its answers, as the questions which were asked seemed unanswerable. No Runic legend, no Babylonish arrowhead, no Egyptian hieroglyph, no Moabite stone, could present a history like this, or suggest thoughts of such weighty import or so stimulate and exalt the imagination.
The Sciences of Nature Versus the Science of Man: A Plea for the Science of Man (1871), 7-9.
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As in the domains of practical life so likewise in science there has come about a division of labor. The individual can no longer control the whole field of mathematics: it is only possible for him to master separate parts of it in such a manner as to enable him to extend the boundaries of knowledge by creative research.
In Die reine Mathematik in den Jahren 1884-99, 10. As quoted, cited and translated in Robert Édouard Moritz, Memorabilia Mathematica; Or, The Philomath’s Quotation-Book (1914), 94.
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As knowledge advances, science ceases to scoff at religion; and religion ceases to frown on science. The hour of mockery by the one, and of reproof by the other, is passing away. Henceforth, they will dwell together in unity and goodwill. They will mutually illustrate the wisdom, power, and grace of God. Science will adorn and enrich religion; and religion will ennoble and sanctify science.
In Tryon Edwards, A Dictionary of Thoughts (1908), 505.
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As Love is too young to know what conscience is, so Truth and Genius are too old to know what definition is.
Samuel Butler, Henry Festing Jones (ed.), The Note-Books of Samuel Butler (1917), 221.
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As our circle of knowledge expands, so does the circumference of darkness surrounding it.
…...
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As pilgrimages to the shrines of saints draw thousands of English Catholics to the Continent, there may be some persons in the British Islands sufficiently in love with science, not only to revere the memory of its founders, but to wish for a description of the locality and birth-place of a great master of knowledge—John Dalton—who did more for the world’s civilisation than all the reputed saints in Christendom.
In The Worthies of Cumberland (1874), 25.
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As regards authority I so proceed. Boetius says in the second prologue to his Arithmetic, “If an inquirer lacks the four parts of mathematics, he has very little ability to discover truth.” And again, “Without this theory no one can have a correct insight into truth.” And he says also, “I warn the man who spurns these paths of knowledge that he cannot philosophize correctly.” And Again, “It is clear that whosoever passes these by, has lost the knowledge of all learning.”
Opus Majus [1266-1268], Part IV, distinction I, chapter I, trans. R. B. Burke, The Opus Majus of Roger Bacon (1928), Vol. I, 117.
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As science has supplanted its predecessors, so it may hereafter be superseded by some more perfect hypothesis, perhaps by some totally different way of looking at the phenomena—of registering the shadows on the screen—of which we in this generation can form no idea. The advance of knowledge is an infinite progression towards a goal that for ever recedes.
In The Golden Bough: A Study in Magic and Religion (1890, 1900), Vol. 3, 460.
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As scientific men we have all, no doubt, felt that our fellow men have become more and more satisfying as fish have taken up their work which has been put often to base uses, which must lead to disaster. But what sin is to the moralist and crime to the jurist so to the scientific man is ignorance. On our plane, knowledge and ignorance are the immemorial adversaries. Scientific men can hardly escape the charge of ignorance with regard to the precise effect of the impact of modern science upon the mode of living of the people and upon their civilisation. For them, such a charge is worse than that of crime.
From Banquet Speech (10 Dec 1922), Nobel Prize in Chemistry, collected in Carl Gustaf Santesson (ed.), Les Prix Nobel en 1921-1922 (1923).
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As soon as the circumstances of an experiment are well known, we stop gathering statistics. … The effect will occur always without exception, because the cause of the phenomena is accurately defined. Only when a phenomenon includes conditions as yet undefined,Only when a phenomenon includes conditions as yet undefined, can we compile statistics. … we must learn therefore that we compile statistics only when we cannot possibly help it; for in my opinion, statistics can never yield scientific truth.
From An Introduction to the Study of Experimental Medicine (1865), as translated by Henry Copley Greene (1957), 134-137.
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As systematic unity is what first raises ordinary knowledge to the rank of science, that is, makes a system out of a mere aggregate of knowledge, architectonic is the doctrine of the scientific in our knowledge, and therefore necessarily forms part of the doctrine of method.
In'The Transcendental Doctrine of Method', Critique of Pure Reason (2016), 653. Note: architectonic = the art of constructing systems.
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As the sun eclipses the stars by his brilliancy, so the man of knowledge will eclipse the fame of others in assemblies of the people if he proposes algebraic problems, and still more if he solves them.
In Florian Cajori, History of Mathematics (1893), 92.
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As there is no study which may be so advantageously entered upon with a less stock of preparatory knowledge than mathematics, so there is none in which a greater number of uneducated men have raised themselves, by their own exertions, to distinction and eminence. … Many of the intellectual defects which, in such cases, are commonly placed to the account of mathematical studies, ought to be ascribed to the want of a liberal education in early youth.
In Elements of the Philosophy of the Human Mind (1827), Vol. 3, Chap. 1, Sec. 3, 183.
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As was the case for Nobel's own invention of dynamite, the uses that are made of increased knowledge can serve both beneficial and potentially harmful ends. Increased knowledge clearly implies increased responsibility. We reject the notion advocated in some quarters that man should stop eating from the tree of knowledge, as if that were humanly possible.
From Nobel Banquet Speech (10 Dec 1981), in Wilhelm Odelberg (ed.), Les Prix Nobel 1981 (1981), 44.
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Astronomy is the most ancient of all the sciences, and has been the introducer of vast knowledge.
In W. Hazlitt (trans.), 'Of Astronomy and Astrology', The Table Talk or Familiar Discourse of Martin Luther (1848), 341.
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Astronomy was not studied by Kepler, Galileo, or Newton for the practical applications which might result from it, but to enlarge the bounds of knowledge, to furnish new objects of thought and contemplation in regard to the universe of which we form a part; yet how remarkable the influence which this science, apparently so far removed from the sphere of our material interests, has exerted on the destinies of the world!
In 'Report of the Secretary', Annual Report of the Board of Regents of the Smithsonian Institution for 1859 (1860), 15.
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Astronomy, as the science of cyclical motions, has nothing in common with Geology. But look at Astronomy where she has an analogy with Geology; consider our knowledge of the heavens as a palaetiological science;—as the study of a past condition, from which the present is derived by causes acting in time. Is there no evidence of a beginning, or of a progress?
In History of the Inductive Sciences (1857), Vol. 3, 516.
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At a given instant everything the surgeon knows suddenly becomes important to the solution of the problem. You can't do it an hour later, or tomorrow. Nor can you go to the library and look it up.
Quoted in 'The Best Hope of All', Time (3 May 1963)
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At first he who invented any art that went beyond the common perceptions of man was naturally admired by men, not only because there was something useful in the inventions, but because he was thought wise and superior to the rest. But as more arts were invented, and some were directed to the necessities of life, others to its recreation, the inventors of the latter were always regarded as wiser than the inventors of the former, because their branches of knowledge did not aim at utility.
Aristotle
Metaphysics, 981b, 13-20. In Jonathan Barnes (ed.), The Complete Works of Aristotle (1984), Vol. 2, 1553.
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At the age of three I began to look around my grandfather’s library. My first knowledge of astronomy came from reading and looking at pictures at that time. By the time I was six I remember him buying books for me. … I think I was eight, he bought me a three-inch telescope on a brass mounting. It stood on a table. … So, as far back as I can remember, I had an early interest in science in general, astronomy in particular.
Oral History Transcript of interview with Dr. Jesse Greenstein by Paul Wright (31 Jul 1974), on website of American Institute of Physics.
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At the beginning of this debate Stephen [Hawking] said that he thinks that he is a positivist, whereas I am a Platonist. I am happy with him being a positivist, but I think that the crucial point here is, rather, that I am a realist. Also, if one compares this debate with the famous debate of Bohr and Einstein, some seventy years ago, I should think that Stephen plays the role of Bohr, whereas I play Einstein's role! For Einstein argued that there should exist something like a real world, not necessarily represented by a wave function, whereas Bohr stressed that the wave function doesn't describe a 'real' microworld but only 'knowledge' that is useful for making predictions.
Debate at the Isaac Newton Institute of the Mathematical Sciences, Cambridge University (1994), transcribed in Stephen Hawking and Roger Penrose, The Nature of Space and Time (1996), 134-135.
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Bacon himself was very ignorant of all that had been done by mathematics; and, strange to say, he especially objected to astronomy being handed over to the mathematicians. Leverrier and Adams, calculating an unknown planet into a visible existence by enormous heaps of algebra, furnish the last comment of note on this specimen of the goodness of Bacon’s view… . Mathematics was beginning to be the great instrument of exact inquiry: Bacon threw the science aside, from ignorance, just at the time when his enormous sagacity, applied to knowledge, would have made him see the part it was to play. If Newton had taken Bacon for his master, not he, but somebody else, would have been Newton.
In Budget of Paradoxes (1872), 53-54.
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Basic research at universities comes in two varieties: research that requires big bucks and research that requires small bucks. Big bucks research is much like government research and in fact usually is government research but done for the government under contract. Like other government research, big bucks academic research is done to understand the nature and structure of the universe or to understand life, which really means that it is either for blowing up the world or extending life, whichever comes first. Again, that's the government's motivation. The universities' motivation for conducting big bucks research is to bring money in to support professors and graduate students and to wax the floors of ivy-covered buildings. While we think they are busy teaching and learning, these folks are mainly doing big bucks basic research for a living, all the while priding themselves on their terrific summer vacations and lack of a dress code.
Smalls bucks research is the sort of thing that requires paper and pencil, and maybe a blackboard, and is aimed primarily at increasing knowledge in areas of study that don't usually attract big bucks - that is, areas that don't extend life or end it, or both. History, political science, and romance languages are typically small bucks areas of basic research. The real purpose of small bucks research to the universities is to provide a means of deciding, by the quality of their small bucks research, which professors in these areas should get tenure.
Accidental Empires (1992), 78.
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Before I built a wall I’d ask to know
What I was walling in or walling out,
And to whom I was like to give offence.
Something there is that doesn’t love a wall,
That wants it down.
From 'Mending Wall', in North of Boston (1914). Collected in Robert Frost and Thomas Fasano (ed.), Selected Early Poems of Robert Frost (2008), 52. Note: This passage may be the source which John F. Kennedy had in mind when he wrote in his personal notebook, "Don't ever take a fence down until you know the reason why it was put up." (see John F. Kennedy quotes on this site). The words in that terse paraphrase are those of Kennedy, and are neither those of Frost, or, as often attributed, G.K. Chesterton (q.v).
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Before Kuhn, most scientists followed the place-a-stone-in-the-bright-temple-of-knowledge tradition, and would have told you that they hoped, above all, to lay many of the bricks, perhaps even the keystone, of truth’s temple. Now most scientists of vision hope to foment revolution. We are, therefore, awash in revolutions, most self-proclaimed.
…...
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Being also in accord with Goethe that discoveries are made by the age and not by the individual, I should consider the instances to be exceedingly rare of men who can be said to be living before their age, and to be the repository of knowledge quite foreign to the thought of the time. The rule is that a number of persons are employed at a particular piece of work, but one being a few steps in advance of the others is able to crown the edifice with his name, or, having the ability to generalise already known facts, may become in time to be regarded as their originator. Therefore it is that one name is remembered whilst those of coequals have long been buried in obscurity.
In Historical Notes on Bright's Disease, Addison's Disease, and Hodgkin's Disease', Guy's Hospital Reports (1877), 22, 259-260.
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Belief is a luxury—only those who have real knowledge have a right to believe; otherwise belief is merely plausible opinion.
In On Love & Psychological Exercises: With Some Aphorisms & Other Essays (1998), 55.
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Blessings on Science! When the earth seem’d old,
When Faith grew doting, and the Reason cold,
Twas she discover’d that the world was young,
And taught a language to its lisping tongue:
’Twas she disclosed a future to its view,
And made old knowledge pale before the new.
From poem, 'Railways' (1846), collected in The Poetical Works of Charles Mackay: Now for the First Time Collected Complete in One Volume (1876), 214.
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Bohr’s standpoint, that a space-time description is impossible, I reject a limine. Physics does not consist only of atomic research, science does not consist only of physics, and life does not consist only of science. The aim of atomic research is to fit our empirical knowledge concerning it into our other thinking. All of this other thinking, so far as it concerns the outer world, is active in space and time. If it cannot be fitted into space and time, then it fails in its whole aim and one does not know what purpose it really serves.
Letter to Willy Wien (25 Aug 1926). Quoted in Walter Moore, Schrödinger: Life and Thought (1989), 226.
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Book-knowledge is a poor resource … In many cases, ignorance is a good thing: the mind retains its freedom of investigation and does not stray along roads that lead nowhither, suggested by one’s reading. … Ignorance can have its advantages; the new is found far from the beaten track.
In Jean-Henri Fabre and Alexander Teixeira de Mattos (trans.), The Life and Love of the Insect (1918), 243.
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Books and libraries and the will to use them are among the most important tools our nation has to diffuse knowledge and to develop our powers of creative wisdom.
Statement on the Occasion of National Library Week (16 Apr 1961). In Public Papers of the Presidents of the United States: John F. Kennedy, 1961 (1962), 125.
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Books have always a secret influence on the understanding; we cannot at pleasure obliterate ideas; he that reads books of science, thogh without any fixed desire of improvement, will grow more knowing…
In Samuel Johnson and W. Jackson Bate (Ed.), ',The Adventurer, No. 137, Tuesday, 26 Febraury 1754.' The Selected Essays from the Rambler, Adventurer, and Idler (1968), 273.
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Botany,—the science of the vegetable kingdom, is one of the most attractive, most useful, and most extensive departments of human knowledge. It is, above every other, the science of beauty.
Using pseudonym Peter Parley, in Peter Parley’s Cyclopedia of Botany (1838), ix. [This is a correction. Earlier on this website, the quote was identified as by Joseph Paxton, because that author’s name was on Google’s (erroneous) cover image of the book search result.]
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Both the physicist and the mystic want to communicate their knowledge, and when they do so with words their statements are paradoxical and full of logical contradictions.
In The Tao of Physics (1975), 46.
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Break the chains of your prejudices and take up the torch of experience, and you will honour nature in the way she deserves, instead of drawing derogatory conclusions from the ignorance in which she has left you. Simply open your eyes and ignore what you cannot understand, and you will see that a labourer whose mind and knowledge extend no further than the edges of his furrow is no different essentially from the greatest genius, as would have been proved by dissecting the brains of Descartes and Newton; you will be convinced that the imbecile or the idiot are animals in human form, in the same way as the clever ape is a little man in another form; and that, since everything depends absolutely on differences in organisation, a well-constructed animal who has learnt astronomy can predict an eclipse, as he can predict recovery or death when his genius and good eyesight have benefited from some time at the school of Hippocrates and at patients' bedsides.
Machine Man (1747), in Ann Thomson (ed.), Machine Man and Other Writings (1996), 38.
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But for twenty years previous to 1847 a force had been at work in a little county town of Germany destined to effect the education of Christendom, and at the same time to enlarge the boundaries of human knowledge, first in chemistry and the allied branches, then in every other one of the natural sciences. The place was Giessen; the inventor Liebig; the method, a laboratory for instruction and research.
A Semi-Centennial Discourse, 1847-97' (28 Oct 1897), The Sheffield Scientific School of Yale University. Quoted in Daniel Coit Gilman, University Problems in the United States (1898), 120.
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But from the time I was in college I learned that there is nothing one could imagine which is so strange and incredible that it was not said by some philosopher; and since that time, I have recognized through my travels that all those whose views are different from our own are not necessarily, for that reason, barbarians or savages, but that many of them use their reason either as much as or even more than we do. I also considered how the same person, with the same mind, who was brought up from infancy either among the French or the Germans, becomes different from what they would have been if they had always lived among the Chinese or among the cannibals, and how, even in our clothes fashions, the very thing that we liked ten years ago, and that we may like again within the next ten years, appears extravagant and ridiculous to us today. Thus our convictions result from custom and example very much more than from any knowledge that is certain... truths will be discovered by an individual rather than a whole people.
Discourse on Method in Discourse on Method and Related Writings (1637), trans. Desmond M. Clarke, Penguin edition (1999), Part 2, 14-5.
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But I do not feel obliged to believe that that same God who has endowed us with senses, reason, and intellect has intended to forgo their use and by some other means to give us knowledge which we can attain by them.
Letter to Madame Christina of Lorraine, Grand Duchess of Tuscany: (1615). In Discoveries and Opinions of Galileo, trans. Stillman Drake (1957), 183.
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But I don’t have to know an answer. I don’t feel frightened by not knowing things, by being lost in a mysterious universe without any purpose, which is the way it really is, so far as I can tell. It doesn’t frighten me.
In Richard Feynman and Jeffrey Robbins (ed.), The Pleasure of Finding Things Out: The Best Short Works of Richard Feynman (1999), 25, last sentence of Chap. 1. The chapter, with the same title as the book, is an edited transcript of an interview with Feynman made for the BBC television program Horizon (1981).
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But if anyone, well seen in the knowledge, not onely of Sacred and exotick History, but of Astronomical Calculation, and the old Hebrew Kalendar, shall apply himself to these studies, I judge it indeed difficult, but not impossible for such a one to attain, not onely the number of years, but even, of dayes from the Creation of the World.
In 'Epistle to the Reader', The Annals of the World (1658). As excerpted in Wallen Yep, Man Before Adam: A Correction to Doctrinal Theology, "The Missing Link Found" (2002), 18.
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But in practical affairs, particularly in politics, men are needed who combine human experience and interest in human relations with a knowledge of science and technology. Moreover, they must be men of action and not contemplation. I have the impression that no method of education can produce people with all the qualities required. I am haunted by the idea that this break in human civilization, caused by the discovery of the scientific method, may be irreparable.
Max Born
My Life & My Views (1968), 57-8.
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But it is precisely mathematics, and the pure science generally, from which the general educated public and independent students have been debarred, and into which they have only rarely attained more than a very meagre insight. The reason of this is twofold. In the first place, the ascendant and consecutive character of mathematical knowledge renders its results absolutely insusceptible of presentation to persons who are unacquainted with what has gone before, and so necessitates on the part of its devotees a thorough and patient exploration of the field from the very beginning, as distinguished from those sciences which may, so to speak, be begun at the end, and which are consequently cultivated with the greatest zeal. The second reason is that, partly through the exigencies of academic instruction, but mainly through the martinet traditions of antiquity and the influence of mediaeval logic-mongers, the great bulk of the elementary text-books of mathematics have unconsciously assumed a very repellant form,—something similar to what is termed in the theory of protective mimicry in biology “the terrifying form.” And it is mainly to this formidableness and touch-me-not character of exterior, concealing withal a harmless body, that the undue neglect of typical mathematical studies is to be attributed.
In Editor’s Preface to Augustus De Morgan and Thomas J. McCormack (ed.), Elementary Illustrations of the Differential and Integral Calculus (1899), v.
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But it must not be forgotten that ... glass and porcelain were manufactured, stuffs dyed and metals separated from their ores by mere empirical processes of art, and without the guidance of correct scientific principles.
Familiar Letters on Chemistry (1851), 2.
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But medicine has long had all its means to hand, and has discovered both a principle and a method, through which the discoveries made during a long period are many and excellent, while full discovery will be made, if the inquirer be competent, conduct his researches with knowledge of the discoveries already made, and make them his starting-point. But anyone who, casting aside and rejecting all these means, attempts to conduct research in any other way or after another fashion, and asserts that he has found out anything, is and has been victim of deception.
Ancient Medicine, in Hippocrates, trans. W. H. S. Jones (1923), Vol. I, 15.
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But of this I can assure you that there is not a movement of any body of Men however small whether on Horse-back or on foot, nor an operation or March of any description nor any Service in the field that is not formed upon some mathematical principle, and in the performance of which the knowledge and practical application of the mathematicks will be found not only useful but necessary. The application of the Mathematicks to Gunnery, Fortification, Tactics, the survey and knowledge of formal Castrenantion etc. cannot be acquired without study.
Duke of Wellington to his son Douro (1826). Quoted in A Selection of the Private Correspondence of the First Duke of Wellington (1952), 44.
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But science is the great instrument of social change, all the greater because its object is not change but knowledge, and its silent appropriation of this dominant function, amid the din of political and religious strife, is the most vital of all the revolutions which have marked the development of modern civilisation.
Decadence: Henry Sidgwick Memorial Lecture (1908), 55-6.
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But the greatest error of all the rest is the mistaking or misplacing of the last or farthest end of knowledge: for men have entered into a desire of learning and knowledge, sometimes upon a natural curiosity and inquisitive appetite; sometimes to entertain their minds with variety and delight; sometimes for ornament and reputation; and sometimes to enable them to victory of wit and contradiction; and most times for lucre and profession; and seldom sincerely to give a true account of their gift of reason, to the benefit and use of men...
The First Book of Francis Bacon of the Proficience and Advancement of Learning (1605). In Francis Bacon and Basil Montagu, The Works of Francis Bacon, Lord Chancellor of England (1852), 174
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But the idea of science and systematic knowledge is wanting to our whole instruction alike, and not only to that of our business class ... In nothing do England and the Continent at the present moment more strikingly differ than in the prominence which is now given to the idea of science there, and the neglect in which this idea still lies here; a neglect so great that we hardly even know the use of the word science in its strict sense, and only employ it in a secondary and incorrect sense.
Schools and Universities on the Continent (1868),278-9.
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But when great and ingenious artists behold their so inept performances, not undeservedly do they ridicule the blindness of such men; since sane judgment abhors nothing so much as a picture perpetrated with no technical knowledge, although with plenty of care and diligence. Now the sole reason why painters of this sort are not aware of their own error is that they have not learnt Geometry, without which no one can either be or become an absolute artist; but the blame for this should be laid upon their masters, who are themselves ignorant of this art.
In The Art of Measurement (1525). As quoted in Albrecht Dürer and R.T. Nichol (trans.), 'Preface', Of the Just Shaping of Letters (1965), Book 3, 1-2.
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But why, it has been asked, did you go there [the Antarctic]? Of what use to civilization can this lifeless continent be? ... [Earlier] expeditions contributed something to the accumulating knowledge of the Antarctic ... that helps us thrust back further the physical and spiritual shadows enfolding our terrestrial existence. Is it not true that one of the strongest and most continuously sustained impulses working in civilization is that which leads to discovery? As long as any part of the world remains obscure, the curiosity of man must draw him there, as the lodestone draws the mariner's needle, until he comprehends its secret.
In 'Hoover Presents Special Medal to Byrd...', New York Times (21 Jun 1930), 1.
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But, further, no animal can live upon a mixture of pure protein, fat and carbohydrate, and even when the necessary inorganic material is carefully supplied, the animal still cannot flourish. The animal body is adjusted to live either upon plant tissues or the tissues of other animals, and these contain countless substances other than the proteins, carbohydrates and fats... In diseases such as rickets, and particularly in scurvy, we have had for long years knowledge of a dietetic factor; but though we know how to benefit these conditions empirically, the real errors in the diet are to this day quite obscure. They are, however, certainly of the kind which comprises these minimal qualitative factors that I am considering.
'The Analyst and the Medical Man', The Analyst (1906), 31, 395-6.
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By a generative grammar I mean simply a system of rules that in some explicit and well-defined way assigns structural descriptions to sentences. Obviously, every speaker of a language has mastered and internalized a generative grammar that expresses his knowledge of his language. This is not to say that he is aware of the rules of the grammar or even that he can become aware of them, or that his statements about his intuitive knowledge of the language are necessarily accurate.
Aspects of the Theory of Syntax (1965), 8.
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By profession a biologist, [Thomas Henry Huxley] covered in fact the whole field of the exact sciences, and then bulged through its four fences. Absolutely nothing was uninteresting to him. His curiosity ranged from music to theology and from philosophy to history. He didn't simply know something about everything; he knew a great deal about everything.
'Thomas Henry Huxley.' In the Baltimore Evening Sun (4 May 1925). Reprinted in A Second Mencken Chrestomathy: A New Selection from the Writings of America's Legendary Editor, Critic, and Wit (2006), 157.
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By research in pure science I mean research made without any idea of application to industrial matters but solely with the view of extending our knowledge of the Laws of Nature. I will give just one example of the ‘utility’ of this kind of research, one that has been brought into great prominence by the War—I mean the use of X-rays in surgery. Now, not to speak of what is beyond money value, the saving of pain, or, it may be, the life of the wounded, and of bitter grief to those who loved them, the benefit which the state has derived from the restoration of so many to life and limb, able to render services which would otherwise have been lost, is almost incalculable. Now, how was this method discovered? It was not the result of a research in applied science starting to find an improved method of locating bullet wounds. This might have led to improved probes, but we cannot imagine it leading to the discovery of X-rays. No, this method is due to an investigation in pure science, made with the object of discovering what is the nature of Electricity. The experiments which led to this discovery seemed to be as remote from ‘humanistic interest’ —to use a much misappropriated word—as anything that could well be imagined. The apparatus consisted of glass vessels from which the last drops of air had been sucked, and which emitted a weird greenish light when stimulated by formidable looking instruments called induction coils. Near by, perhaps, were great coils of wire and iron built up into electro-magnets. I know well the impression it made on the average spectator, for I have been occupied in experiments of this kind nearly all my life, notwithstanding the advice, given in perfect good faith, by non-scientific visitors to the laboratory, to put that aside and spend my time on something useful.
In Speech made on behalf of a delegation from the Conjoint Board of Scientific Studies in 1916 to Lord Crewe, then Lord President of the Council. In George Paget Thomson, J. J. Thomson and the Cavendish Laboratory in His Day (1965), 167-8.
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By the year 2070 we cannot say, or it would be imbecile to do so, that any man alive could understand Shakespearean experience better than Shakespeare, whereas any decent eighteen-year-old student of physics will know more physics than Newton.
'The Case of Leavis and the Serious Case’, Times Literary Supplement (9 Jul 1970), 737-740. Collected in Public Affairs (1971), 95.
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By this we may understand, there be two sorts of knowledge, whereof the one is nothing else but sense, or knowledge original (as I have said at the beginning of the second chapter), and remembrance of the same; the other is called science or knowledge of the truth of propositions, and how things are called, and is derived from understanding.
The Elements of Law: Natural and Politic (1640), Ferdinand Tonnies edn. (1928), Part 1, Chapter 6, 18-9.
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Can a physicist visualize an electron? The electron is materially inconceivable and yet, it is so perfectly known through its effects that we use it to illuminate our cities, guide our airlines through the night skies and take the most accurate measurements. What strange rationale makes some physicists accept the inconceivable electrons as real while refusing to accept the reality of a Designer on the ground that they cannot conceive Him?
In letter to California State board of Education (14 Sep 1972).
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Can the cause be reached from knowledge of the effect with the same certainty as the effect can be shown to follow from its cause? Is it possible for one effect to have many causes? If one determinate cause cannot be reached from the effect, since there is no effect which has not some cause, it follows that an effect, when it has one cause, may have another, and so that there may be several causes of it.
As quoted in Alistair Cameron Crombie, Robert Grosseteste and the Origins of Experimental Science, 1100-1700 (1971), 81.
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Cayley was singularly learned in the work of other men, and catholic in his range of knowledge. Yet he did not read a memoir completely through: his custom was to read only so much as would enable him to grasp the meaning of the symbols and understand its scope. The main result would then become to him a subject of investigation: he would establish it (or test it) by algebraic analysis and, not infrequently, develop it so to obtain other results. This faculty of grasping and testing rapidly the work of others, together with his great knowledge, made him an invaluable referee; his services in this capacity were used through a long series of years by a number of societies to which he was almost in the position of standing mathematical advisor.
In Proceedings of London Royal Society (1895), 58, 11-12.
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Certainty is the most vivid condition of ignorance and the most necessary condition for knowledge.
Quotations: Superultramodern Science and Philosophy (2005), 2
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Chance favours only those who know how to court her.
Epigraph in The Art of Scientific Investigation (1957), 27.
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Changes That Have Occurred in the Globe: When we have seen with our own eyes a mountain progressing into a plain; that is to say, an immense boulder separating from this mountain and covering the fields; an entire castle broken into pieces over the ground; a river swallowed up which then bursts out from its abyss; clear marks of a vast amount of water having once flooded regions now inhabited, and a hundred vestiges of other transformations, then we are much more willing to believe that great changes altered the face of the earth, than a Parisian lady who knows only that the place where her house was built was once a cultivated field. However, a lady from Naples who has seen the buried ruins of Herculaneum, is much less subject to the bias which leads us to believe that everything has always been as it is today.
From article 'Changements arrivées dans le globe', in Dictionnaire philosophique (1764), collected in Œuvres Complètes de Voltaire (1878), Vol. 2, 427-428. Translated by Ian Ellis, from the original French: “Changements arrivées dans le globe: Quand on a vu de ses yeux une montagne s’avancer dans une plaine, c’est-à-dire un immense rocher de cette montagne se détacher et couvrir des champs, un château tout entier enfoncé dans la terre, un fleuve englouti qui sort ensuite de son abîme, des marques indubitables qu’un vaste amas d’eau inondait autrefois un pays habité aujourd’hui, et cent vestiges d’autres révolutions, on est alors plus disposé à croire les grands changements qui ont altéré la face du monde, que ne l’est une dame de Paris qui sait seulement que la place où est bâtie sa maison était autrefois un champ labourable. Mais une dame de Naples, qui a vu sous terre les ruines d’Herculanum, est encore moins asservie au préjugé qui nous fait croire que tout a toujours été comme il est aujourd’hui.”
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Chemical engineering is the profession in which a knowledge of mathematics, chemistry and other natural sciences gained by study, experience and practice is applied with judgment to develop economic ways of using materials and energy for the benefit of mankind.
AIChE
In Article III, 'Definition of the Profession', Constitution of the American Institute of Chemical Engineers (as amended 17 Jan 2003). The same wording is found in the 1983 Constitution, as quoted in Nicholas A. Peppas (ed.), One Hundred Years of Chemical Engineering: From Lewis M. Norton (M.I.T. 1888) to Present (2012), 334.
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Chemical research conducts to the knowledge of philosophical truth, and forms the mind to philosophical enlargement and accuracy of thought, more happily than almost any other species of investigation in which the human intellect can be employed.
Quote following title page of Samuel Parkes, A Chemical Catechism With Notes, Illustrations and Experiments (8th ed. 1818).
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Chemistry is an art that has furnished the world with a great number of useful facts, and has thereby contributed to the improvement of many arts; but these facts lie scattered in many different books, involved in obscure terms, mixed with many falsehoods, and joined to a great deal of false philosophy; so that it is not great wonder that chemistry has not been so much studied as might have been expected with regard to so useful a branch of knowledge, and that many professors are themselves but very superficially acquainted with it. But it was particularly to be expected, that, since it has been taught in universities, the difficulties in this study should have been in some measure removed, that the art should have been put into form, and a system of it attempted—the scattered facts collected and arranged in a proper order. But this has not yet been done; chemistry has not yet been taught but upon a very narrow plan. The teachers of it have still confined themselves to the purposes of pharmacy and medicine, and that comprehends a small branch of chemistry; and even that, by being a single branch, could not by itself be tolerably explained.
John Thomson, An Account of the Life, Lectures and Writings of William Cullen, M.D. (1832), Vol. 1, 40.
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Chemistry is one of those branches of human knowledge which has built itself upon methods and instruments by which truth can presumably be determined. It has survived and grown because all its precepts and principles can be re-tested at any time and anywhere. So long as it remained the mysterious alchemy by which a few devotees, by devious and dubious means, presumed to change baser metals into gold, it did not flourish, but when it dealt with the fact that 56 g. of fine iron, when heated with 32 g. of flowers of sulfur, generated extra heat and gave exactly 88 g. of an entirely new substance, then additional steps could be taken by anyone. Scientific research in chemistry, since the birth of the balance and the thermometer, has been a steady growth of test and observation. It has disclosed a finite number of elementary reagents composing an infinite universe, and it is devoted to their inter-reaction for the benefit of mankind.
Address upon receiving the Perkin Medal Award, 'The Big Things in Chemistry', The Journal of Industrial and Engineering Chemistry (Feb 1921), 13, No. 2, 163.
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Chemistry is the science or study of those effects and qualities of matter which are discovered by mixing bodies variously together, or applying them to one another with a view to mixture, and by exposing them to different degrees of heat, alone, or in mixture with one another, in order to enlarge our knowledge of nature, and to promote the useful arts.
From the first of a series of lectures on chemistry, collected in John Robison (ed.), Lectures on the Elements of Chemistry: Delivered in the University of Edinburgh (1807), Vol. 1, 11.
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Chemistry is the study of material transformations. Yet a knowledge of the rate, or time dependence, of chemical change is of critical importance for the successful synthesis of new materials and for the utilization of the energy generated by a reaction. During the past century it has become clear that all macroscopic chemical processes consist of many elementary chemical reactions that are themselves simply a series of encounters between atomic or molecular species. In order to understand the time dependence of chemical reactions, chemical kineticists have traditionally focused on sorting out all of the elementary chemical reactions involved in a macroscopic chemical process and determining their respective rates.
'Molecular Beam Studies of Elementary Chemical Processes', Nobel Lecture, 8 Dec 1986. In Nobel Lectures: Chemistry 1981-1990 (1992), 320.
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Chemists show us that strange property, catalysis, which enables a substance while unaffected itself to incite to union elements around it. So a host, or hostess, who may know but little of those concerned, may, as a social switchboard, bring together the halves of pairs of scissors, men who become life-long friends, men and women who marry and are happy husbands and wives.
From chapter 'Jottings from a Note-book', in Canadian Stories (1918), 179.
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Children [are] born with a zest for knowledge, aware that they must live in a future molded by science, but so often convinced by their culture that science is not for them.
In 'With Science on Our Side', Washington Post (9 Jan 1994).
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Coastal sailing as long as it is perfectly safe and easy commands no magic. Overseas expeditions are invariably bound up with ceremonies and ritual. Man resorts to magic only where chance and circumstances are not fully controlled by knowledge.
Culture (1931), 636.
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Compared to the breadth of knowledge yet to be known, what does your life actually matter?
Movie
Europa Report (2013)
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Computers and rocket ships are examples of invention, not of understanding. … All that is needed to build machines is the knowledge that when one thing happens, another thing happens as a result. It’s an accumulation of simple patterns. A dog can learn patterns. There is no “why” in those examples. We don’t understand why electricity travels. We don’t know why light travels at a constant speed forever. All we can do is observe and record patterns.
In God's Debris: A Thought Experiment (2004), 22.
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Concerning the gods, I have no means of knowing either that they exist or that they do not exist, nor what sort of form they may have; there are many reasons why knowledge on this subject is not possible, owing to the lack of evidence and the shortness of human life.
Protagoras, fr. 1, quoted in E. Hussey, The Pre-Socratics (1972), 109.
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Consider the eighth category, which deals with stones. Wilkins divides them into the following classifications: ordinary (flint, gravel, slate); intermediate (marble, amber, coral); precious (pearl, opal); transparent (amethyst, sapphire); and insoluble (coal, clay, and arsenic). The ninth category is almost as alarming as the eighth. It reveals that metals can be imperfect (vermilion, quicksilver); artificial (bronze, brass); recremental (filings, rust); and natural (gold, tin, copper). The whale appears in the sixteenth category: it is a viviparous, oblong fish. These ambiguities, redundances, and deficiencies recall those attributed by Dr. Franz Kuhn to a certain Chinese encyclopedia entitled Celestial Emporium of Benevolent Knowledge. On those remote pages it is written that animals are divided into (a) those that belong to the Emperor, (b) embalmed ones, (c) those that are trained, (d) suckling pigs, (e) mermaids, (f) fabulous ones, (g) stray dogs, (h) those that are included in this classification, (i) those that tremble as if they were mad, (j) innumerable ones, (k) those drawn with a very fine camel's hair brush, (l) others, (m) those that have just broken a flower vase, (n) those that resemble flies from a distance.
Other Inquisitions 1937-1952 (1964), trans. Ruth L. C. Simms, 103.
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Contact means the exchange of specific knowledge, ideas, or at least of findings, definite facts. But what if no exchange is possible? If an elephant is not a giant microbe, the ocean is not a giant brain.
As translated from the French by Joanna Kilmartin and Steve Cox, in Solaris (2002), 145.
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Cosmology is a science which has only a few observable facts to work with. The discovery of the cosmic microwave background radiation added one—the present radiation temperature of the universe. This, however, was a significant increase in our knowledge since it requires a cosmology with a source for the radiation at an early epoch and is a new probe of that epoch. More sensitive measurements of the background radiation in the future will allow us to discover additional facts about the universe.
'Discovery of the Cosmic Microwave Background', in B. Bertotti (ed.) Modern Cosmology in Retrospect (1990), 304.
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Creative imagination is likely to find corroborating novel evidence even for the most 'absurd' programme, if the search has sufficient drive. This look-out for new confirming evidence is perfectly permissible. Scientists dream up phantasies and then pursue a highly selective hunt for new facts which fit these phantasies. This process may be described as “science creating its own universe” (as long as one remembers that “creating” here is used in a provocative-idiosyncratic sense). A brilliant school of scholars (backed by a rich society to finance a few well-planned tests) might succeed in pushing any fantastic programme ahead, or alternatively, if so inclined, in overthrowing any arbitrarily chosen pillar of “established knowledge”.
In 'Falsification and the Methodology of Scientific Research Programmes', in I. Lakatos and A. Musgrave (eds.), Criticism and the Growth of Knowledge: Proceedings of the International Colloquium in the Philosophy of Science, London 1965 (1970), Vol. 4, 187-8.
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Criticism, though dignified from the earliest ages by the labours of men eminent for knowledge and sagacity, has not yet attained the certainty and stability of science.
In Samuel Austin Allibone, Prose Quotations from Socrates to Macaulay (1880), 151.
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Culture can be regarded as a constitution of recipes for behavior … which are taught and learned on various levels of awareness; not all of the individuals in any society know all these recipes; and many of the recipes are alternative to one another.
Acknowledging the significance of variation for the culture concept. In The Modal Personality Structure of the Tuscarora Indians As Revealed by the Rorschach Test (1952), 61-62.
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Culture is activity of thought, and receptiveness to beauty and humane feeling. Scraps of information have nothing to do with it. A merely well informed man is the most useless bore on God’s earth. What we should aim at producing is men who possess both culture and expert knowledge in some special direction.
Opening sentences of Chapter 1,'The Aims of Education', in Aims of Education and Other Essays (1917), 1.
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Curiosity that inborn property of man, daughter of ignorance and mother of knowledge when wonder wakens our minds, has the habit, wherever it sees some extraordinary phenomenon of nature, a comet for example, a sun-dog, or a midday star, of asking straightway what it means.
In The New Science (3rd ed., 1744), Book 1, Para. 189, as translated by Thomas Goddard Bergin and Max Harold Fisch, The New Science of Giambattista Vico (1948), 64.
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Data is not information, Information is not knowledge, Knowledge is not understanding, Understanding is not wisdom.
Attributed to Cliff Stoll and Gary Schubert, in Mark R Keeler, Nothing to Hide: Privacy in the 21st Century (2006), 112. A similar quote, 'Information is not knowledge, Knowledge is not wisdom,' is in the lyrics of Frank Zappa's album, Joe's Garage, track 'Packard Goose.' The sentiment of the above quote is presented in Clifford Stoll, Silicon Snake Oil: Second Thoughts on the Information Highway (1996), 193-194. The elements of the above quote are fragmented and distributed within three paragraphs. “Data isn't information ... information is not knowledge ... doesn't mean you understand ... There's a relationship between data, information, knowledge, understanding, and wisdom. ... perhaps knowledge becomes wisdom.” [If you know a primary print source and date for Stoll and Schubert's quote, in the exact words of the summary form as above, please contact webmaster.]
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Data is not necessarily information. Information does not necessarily lead to knowledge. And knowledge is not always sufficient to discover truth and breed wisdom.
From post 're:The Pursuit of Knowledge, from Genesis to Google' to the 'Interesting People' List (6 Jan 2005), now archived at interesting-people.org website
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Data isn't information. ... Information, unlike data, is useful. While there’s a gulf between data and information, there’s a wide ocean between information and knowledge. What turns the gears in our brains isn't information, but ideas, inventions, and inspiration. Knowledge—not information—implies understanding. And beyond knowledge lies what we should be seeking: wisdom.
In High-Tech Heretic: Reflections of a Computer Contrarian (2000), 185-186.
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Despite the vision and the far-seeing wisdom of our wartime heads of state, the physicists felt a peculiarly intimate responsibility for suggesting, for supporting, and in the end, in large measure, for achieving the realization of atomic weapons. Nor can we forget that these weapons, as they were in fact used, dramatized so mercilessly the inhumanity and evil of modern war. In some sort of crude sense which no vulgarity, no humor, no overstatement can quite extinguish, the physicists have known sin; and this is a knowledge which they cannot lose.
In Arthur Dehon Little Memorial Lecture (25 Nov 1947) to the Massachusetts Institute of Technology, 'Physics in the Contemporary World'. Collected in J. Robert Oppenheimer, The Open Mind (1955), 88.
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Disease is largely a removable evil. It continues to afflict humanity, not only because of incomplete knowledge of its causes and lack of individual and public hygiene, but also because it is extensively fostered by harsh economic and industrial conditions and by wretched housing in congested communities. ... The reduction of the death rate is the principal statistical expression and index of human social progress. It means the saving and lengthening of lives of thousands of citizens, the extension of the vigorous working period well into old age, and the prevention of inefficiency, misery, and suffering. These advances can be made by organized social effort. Public health is purchasable. (1911)
Quoted in Evelynn Maxine Hammonds, Childhood's Deadly Scourge: The Campaign to Control Diphtheria in New York City, 1880-1930(1999), 221.
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Do you realize we’ve got 250 million years of coal? But coal has got environmental hazards to it, but there’s—I’m convinced, and I know that we—technology can be developed so we can have zero-emissions coal-fired electricity plants.
Remarks at the Associated Builders and Contractors National Legislative Conference (8 Jun 2005). The White house corrected “250 million years” to “250 years” in a footnote to the printed record, 41 WCPD 956 in 'Administration of George W. Bush', 959.
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Doctors are men who prescribe medicines of which they know little, to cure diseases of which they know less, in human beings of whom they know nothing. (1760)
In Robert Allan Weinberg, The Biology of Cancer (2006), 726. (Note: Webmaster has not yet found this quote, in this wording, in a major quotation reference book. If you know a primary print source, or correction, please contact Webmaster.)
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Doubt is the offspring of knowledge: the savage never doubts at all.
In The Martyrdom of Man (1876), 242.
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Doubtless the reasoning faculty, the mind, is the leading and characteristic attribute of the human race. By the exercise of this, man arrives at the properties of the natural bodies. This is science, properly and emphatically so called. It is the science of pure mathematics; and in the high branches of this science lies the truly sublime of human acquisition. If any attainment deserves that epithet, it is the knowledge, which, from the mensuration of the minutest dust of the balance, proceeds on the rising scale of material bodies, everywhere weighing, everywhere measuring, everywhere detecting and explaining the laws of force and motion, penetrating into the secret principles which hold the universe of God together, and balancing worlds against worlds, and system against system. When we seek to accompany those who pursue studies at once so high, so vast, and so exact; when we arrive at the discoveries of Newton, which pour in day on the works of God, as if a second fiat had gone forth from his own mouth; when, further, we attempt to follow those who set out where Newton paused, making his goal their starting-place, and, proceeding with demonstration upon demonstration, and discovery upon discovery, bring new worlds and new systems of worlds within the limits of the known universe, failing to learn all only because all is infinite; however we may say of man, in admiration of his physical structure, that “in form and moving he is express and admirable,” it is here, and here without irreverence, we may exclaim, “In apprehension how like a god!” The study of the pure mathematics will of course not be extensively pursued in an institution, which, like this [Boston Mechanics’ Institute], has a direct practical tendency and aim. But it is still to be remembered, that pure mathematics lie at the foundation of mechanical philosophy, and that it is ignorance only which can speak or think of that sublime science as useless research or barren speculation.
In Works (1872), Vol. 1, 180.
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During the century after Newton, it was still possible for a man of unusual attainments to master all fields of scientific knowledge. But by 1800, this had become entirely impracticable.
The Intelligent Man's Guide to Science (1960), 19.
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During the first half of the present century we had an Alexander von Humboldt, who was able to scan the scientific knowledge of his time in its details, and to bring it within one vast generalization. At the present juncture, it is obviously very doubtful whether this task could be accomplished in a similar way, even by a mind with gifts so peculiarly suited for the purpose as Humboldt's was, and if all his time and work were devoted to the purpose.
In Hermann von Helmholtz and Edmund Atkinson (trans.), 'The Aim and Progress of Physical Science', Popular Scientific Lectures on Scientific Subjects (1873), 363.
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During the half-century that has elapsed since the enunciation of the cell-theory by Schleiden and Schwann, in 1838-39, it has became ever more clearly apparent that the key to all ultimate biological problems must, in the last analysis, be sought in the cell. It was the cell-theory that first brought the structure of plants and animals under one point of view by revealing their common plan of organization. It was through the cell-theory that Kolliker and Remak opened the way to an understanding of the nature of embryological development, and the law of genetic continuity lying at the basis of inheritance. It was the cell-­theory again which, in the hands of Virchaw and Max Schultze, inaugurated a new era in the history of physiology and pathology, by showing that all the various functions of the body, in health and in disease, are but the outward expression of cell­-activities. And at a still later day it was through the cell-theory that Hertwig, Fol, Van Beneden, and Strasburger solved the long-standing riddle of the fertilization of the egg, and the mechanism of hereditary transmission. No other biological generalization, save only the theory of organic evolution, has brought so many apparently diverse phenomena under a common point of view or has accomplished more far the unification of knowledge. The cell-theory must therefore be placed beside the evolution-theory as one of the foundation stones of modern biology.
In The Cell in Development and Inheritance (1896), 1.
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During the last two centuries and a half, physical knowledge has been gradually made to rest upon a basis which it had not before. It has become mathematical. The question now is, not whether this or that hypothesis is better or worse to the pure thought, but whether it accords with observed phenomena in those consequences which can be shown necessarily to follow from it, if it be true
In Augustus De Morgan and Sophia Elizabeth De Morgan (ed.), A Budget of Paradoxes (1872), 2.
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Each discovery of science … adds a rung to a ladder of knowledge whose end is not in sight because we are building the ladder as we go along. As far as I can tell, as we assemble and ascend this ladder, we will forever uncover the secrets of the universe—one by one.
In magazine article, 'The Beginning of Science', Natural History (Mar 2001). Collected in Death by Black Hole: And Other Cosmic Quandaries (2007), 20.
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Each of us by his own work and thought, if he so choose, may enlarge the circle of his own knowledge at least, and thus make the universe more and more beautiful, to himself at all events, if not to others.
In 'Waves: Preliminary', Studies in Spectrum Analysis (1878), 1.
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Each time one of the medicine men dies, it's as if a library has burned down.
{Referring to potential knowledge from indiginous peoples of the medicinal value of tropical plants, speaking as director of the plant program of the World Wildlife Fund and having spent many months living with the Tirio tribe on the Suriname-Brazil border.]
Quoted in Jamie Murphy and Andrea Dorfman, 'The Quiet Apocalypse,' Time (13 Oct 1986).
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Each worldview was a cultural product, but evolution is true and separate creation is not ... Worldviews are social constructions, and they channel the search for facts. But facts are found and knowledge progresses, however fitfully. Fact and theory are intertwined, and all great scientists understand the interaction.
…...
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Earlier this week … scientists announced the completion of a task that once seemed unimaginable; and that is, the deciphering of the entire DNA sequence of the human genetic code. This amazing accomplishment is likely to affect the 21st century as profoundly as the invention of the computer or the splitting of the atom affected the 20th century. I believe that the 21st century will be the century of life sciences, and nothing makes that point more clearly than this momentous discovery. It will revolutionize medicine as we know it today.
Senate Session, Congressional Record (29 Jun 2000) Vol. 146, No 85, S6050.
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Early Greek astronomers, derived their first knowledge from the Egyptians, and these from the Chaldeans, among whom the science was studied, at a very early period. Their knowledge of astronomy, which gave their learned men the name of Magi, wise men, afterwards degenerated into astrology, or the art of consulting the position of the stars to foretel events—and hence sprung the silly occupation of sooth saying, for which the Chaldeans were noted to a proverb, in later ages.
In Elements of Useful Knowledge (1806), Vol. 1, 8-9. Note “foretel” is as printed in this text.
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Education aims to give you a boost up the ladder of knowledge. Too often, it just gives you a cramp on one of its rungs.
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Education is a mechanism for inducing change and for providing the means of accommodation and adjustment to change. At the same time, as an institution, education is given the responsibility for insuring the preservation and transfer and therefore, the continuity of society’s knowledge, skills, and values.
As quoted by Luther H. Evans and George E. Arnstein (eds.), in Automation and the Challenge to Education: Proceedings of a Symposium (1962).
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Education is a private matter between the person and the world of knowledge and experience, and has little to do with school or college.
…...
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Education is an admirable thing, but it is well to remember from time to time that nothing that is worth knowing can be taught.
In his dialogue 'The Critic As Artist', collected in Intentions (1904), 101.
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Education is learning what you didn't even know you didn't know.
In Democracy and its Discontents: Reflections on Everyday America (1974, 1975), 51.
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Education is like a diamond with many facets: It includes the basic mastery of numbers and letters that give us access to the treasury of human knowledge, accumulated and refined through the ages; it includes technical and vocational training as well as instruction in science, higher mathematics, and humane letters.
In Proclamation 5463, for Education Day (19 Apr 1986). Collected in Public Papers of the Presidents of the United States: Ronald Reagan, 1986 (1988), 490.
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Effective science began when it passed from the occasional amateur into the hands of men who made the winning of knowledge their special function or profession.
Address to 48th annual summer convention of the American Institute of Electriccal Engineers, Cleveland (21 Jun 1932), abridged in 'The Rôle of the Engineer', The Electrical Journal (1932), 109, 223.
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Either one or the other [analysis or synthesis] may be direct or indirect. The direct procedure is when the point of departure is known-direct synthesis in the elements of geometry. By combining at random simple truths with each other, more complicated ones are deduced from them. This is the method of discovery, the special method of inventions, contrary to popular opinion.
Ampère gives this example drawn from geometry to illustrate his meaning for “direct synthesis” when deductions following from more simple, already-known theorems leads to a new discovery. In James R. Hofmann, André-Marie Ampère (1996), 159. Cites Académie des Sciences Ampère Archives, box 261.
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ENGINEER, in the military art, an able expert man, who, by a perfect knowledge in mathematics, delineates upon paper, or marks upon the ground, all sorts of forts, and other works proper for offence and defence. He should understand the art of fortification, so as to be able, not only to discover the defects of a place, but to find a remedy proper for them; as also how to make an attack upon, as well as to defend, the place. Engineers are extremely necessary for these purposes: wherefore it is requisite that, besides being ingenious, they should be brave in proportion. When at a siege the engineers have narrowly surveyed the place, they are to make their report to the general, by acquainting him which part they judge the weakest, and where approaches may be made with most success. Their business is also to delineate the lines of circumvallation and contravallation, taking all the advantages of the ground; to mark out the trenches, places of arms, batteries, and lodgments, taking care that none of their works be flanked or discovered from the place. After making a faithful report to the general of what is a-doing, the engineers are to demand a sufficient number of workmen and utensils, and whatever else is necessary.
In Encyclopaedia Britannica or a Dictionary of Arts and Sciences (1771), Vol. 2, 497.
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Engineering is not merely knowing and being knowledgeable, like a walking encyclopedia; engineering is not merely analysis; engineering is not merely the possession of the capacity to get elegant solutions to non-existent engineering problems; engineering is practicing the art of the organizing forces of technological change ... Engineers operate at the interface between science and society.
In Bert Scalzo, et al., Database Benchmarking: Practical Methods for Oracle & SQL Server (2007), 37.
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Engineering is quite different from science. Scientists try to understand nature. Engineers try to make things that do not exist in nature. Engineers stress invention. To embody an invention the engineer must put his idea in concrete terms, and design something that people can use. That something can be a device, a gadget, a material, a method, a computing program, an innovative experiment, a new solution to a problem, or an improvement on what is existing. Since a design has to be concrete, it must have its geometry, dimensions, and characteristic numbers. Almost all engineers working on new designs find that they do not have all the needed information. Most often, they are limited by insufficient scientific knowledge. Thus they study mathematics, physics, chemistry, biology and mechanics. Often they have to add to the sciences relevant to their profession. Thus engineering sciences are born.
Y.C. Fung and P. Tong, Classical and Computational Solid Mechanics (2001), 1.
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Engineering is the profession in which a knowledge of the mathematical and natural sciences gained by study, experience, and practice is applied with judgment to develop ways to utilize, economically, the materials and forces of nature for the benefit of mankind.
ABET
In EAC Criteria for 1999-2000 as cited in Charles R. Lord, Guide to Information Sources in Engineering (2000), 5. Found in many sources, and earlier, for example, Otis E. Lancaster, American Society for Engineering Education, Engineers' Council for Professional Development, Achieve Learning Objectives (1962), 8.
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Engineers apply the theories and principles of science and mathematics to research and develop economical solutions to practical technical problems. Their work is the link between scientific discoveries and commercial applications. Engineers design products, the machinery to build those products, the factories in which those products are made, and the systems that ensure the quality of the product and efficiency of the workforce and manufacturing process. They design, plan, and supervise the construction of buildings, highways, and transit systems. They develop and implement improved ways to extract, process, and use raw materials, such as petroleum and natural gas. They develop new materials that both improve the performance of products, and make implementing advances in technology possible. They harness the power of the sun, the earth, atoms, and electricity for use in supplying the Nation’s power needs, and create millions of products using power. Their knowledge is applied to improving many things, including the quality of health care, the safety of food products, and the efficient operation of financial systems.
Bureau of Labor Statistics, Occupational Outlook Handbook (2000) as quoted in Charles R. Lord. Guide to Information Sources in Engineering (2000), 5. This definition has been revised and expanded over time in different issues of the Handbook.
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Engineers use knowledge primarily to design, produce, and operate artifacts. … Scientists, by contrast, use knowledge primarily to generate more knowledge.
What Engineers Know and How They Know It (1990), 226. In Camilla Stivers, Democracy, Bureaucracy, and the Study of Administration (2001), 144.
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Equations seem like treasures, spotted in the rough by some discerning individual, plucked and examined, placed in the grand storehouse of knowledge, passed on from generation to generation. This is so convenient a way to present scientific discovery, and so useful for textbooks, that it can be called the treasure-hunt picture of knowledge.
The Great Equations: Breakthroughs in Science: from Pythagoras to Heisenberg (2009), 17.
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Ere long intelligence—transmitted without wires—will throb through the earth like a pulse through a living organism. The wonder is that, with the present state of knowledge and the experiences gained, no attempt is being made to disturb the electrostatic or magnetic condition of the earth, and transmit, if nothing else, intelligence.
Electrical Engineer (24 Jun 1892), 11, 609.
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Euclid and Archimedes are allowed to be knowing, and to have demonstrated what they say: and yet whosoever shall read over their writings without perceiving the connection of their proofs, and seeing what they show, though he may understand all their words, yet he is not the more knowing. He may believe, indeed, but does not know what they say, and so is not advanced one jot in mathematical knowledge by all his reading of those approved mathematicians.
In Conduct of the Understanding, sect. 24.
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Euler was a believer in God, downright and straightforward. The following story is told by Thiebault, in his Souvenirs de vingt ans de séjour à Berlin, … Thiebault says that he has no personal knowledge of the truth of the story, but that it was believed throughout the whole of the north of Europe. Diderot paid a visit to the Russian Court at the invitation of the Empress. He conversed very freely, and gave the younger members of the Court circle a good deal of lively atheism. The Empress was much amused, but some of her counsellors suggested that it might be desirable to check these expositions of doctrine. The Empress did not like to put a direct muzzle on her guest’s tongue, so the following plot was contrived. Diderot was informed that a learned mathematician was in possession of an algebraical demonstration of the existence of God, and would give it him before all the Court, if he desired to hear it. Diderot gladly consented: though the name of the mathematician is not given, it was Euler. He advanced toward Diderot, and said gravely, and in a tone of perfect conviction:
Monsieur, (a + bn) / n = x, donc Dieu existe; repondez!

Diderot, to whom algebra was Hebrew, was embarrassed and disconcerted; while peals of laughter rose on all sides. He asked permission to return to France at once, which was granted.
In Budget of Paradoxes (1878), 251. [The declaration in French expresses, “therefore God exists; please answer!” This Euler-Diderot anecdote, as embellished by De Morgan, is generally regarded as entirely fictional. Diderot before he became an encyclopedist was an accomplished mathematician and fully capable of recognizing—and responding to—the absurdity of an algebraic expression in proving the existence of God. See B.H. Brown, 'The Euler-Diderot Anecdote', The American Mathematical Monthly (May 1942), 49, No. 5, 392-303. —Webmaster.]
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Even in populous districts, the practice of medicine is a lonely road which winds up-hill all the way and a man may easily go astray and never reach the Delectable Mountains unless he early finds those shepherd guides of whom Bunyan tells, Knowledge, Experience, Watchful, and Sincere.
In Aequanimitas (1904), 299.
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Even the facts of science may dust the mind by their dryness, unless they are … rendered fertile by the dews of fresh and living truth. Knowledge does not come to us by details, but in flashes of light from heaven.
Essay, first published as 'Life Without Principle', Atlantic Monthly (Oct 1863). Collected in Yankee in Canada, Etc., (1866) 267. Also excerpted in H.G.O. Blake (ed.), Thoreau's Thoughts: Selections From the Writings of Henry David Thoreau (1890, 2005), 102.
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Even those to whom Providence has allotted greater strength of understanding, can expect only to improve a single science. In every other part of learning, they must be content to follow opinions, which they are not able to examine; and, even in that which they claim as peculiarly their own, can seldom add more than some small particle of knowledge, to the hereditary stock devolved to them from ancient times, the collective labour of a thousand intellects.
In Samuel Johnson and W. Jackson Bate (Ed.), ',The Rambler, No. 121, Tuesday, 14 May 1751.' The Selected Essays from the Rambler, Adventurer, and Idler (1968), 172.
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Every appearance in nature corresponds to some state of the mind, and that state of the mind can only be described by presenting that natural appearance as its picture. An enraged man is a lion, a cunning man is a fox, a firm man is a rock, a learned man is a torch. A lamb is innocence; a snake is subtle spite; flowers express to us the delicate affections. Light and darkness are our familiar expressions for knowledge and ignorance ; and heat for love. Visible distance behind and before us, is respectively our image of memory and hope.
In essay, 'Language', collected in Nature: An Essay ; And, Lectures on the Times (1844), 23-24.
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Every great advance in natural knowledge has involved the absolute rejection of authority.
'On the Advisableness of Improving Natural Knowledge', a lay sermon at St. Martin's Hall (Sunday 7 Jan 1866), The Fortnightly Review. In The Journal of Mental Science (1867), Vol. 12, No. 58, (Jul 1866), 279.
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Every serious scientific worker is painfully conscious of this involuntary relegation to an ever-narrowing sphere of knowledge, which threatens to deprive the investigator of his broad horizon and degrades him to the level of a mechanic.
In Ideas and Opinions (1954), 69.
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Every student who enters upon a scientific pursuit, especially if at a somewhat advanced period of life, will find not only that he has much to learn, but much also to unlearn.
Outlines of Astronomy (1871), 11th edn., 1.
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Everybody now wants to discover universal laws which will explain the structure and behavior of the nucleus of the atom. But actually our knowledge of the elementary particles that make up the nucleus is tiny. The situation calls for more modesty. We should first try to discover more about these elementary particles and about their laws. Then it will be the time for the major synthesis of what we really know, and the formulation of the universal law.
As quoted in Robert Coughlan, 'Dr. Edward Teller’s Magnificent Obsession', Life (6 Sep 1954), 74.
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Everything material which is the subject of knowledge has number, order, or position; and these are her first outlines for a sketch of the universe. If our feeble hands cannot follow out the details, still her part has been drawn with an unerring pen, and her work cannot be gainsaid. So wide is the range of mathematical sciences, so indefinitely may it extend beyond our actual powers of manipulation that at some moments we are inclined to fall down with even more than reverence before her majestic presence. But so strictly limited are her promises and powers, about so much that we might wish to know does she offer no information whatever, that at other moments we are fain to call her results but a vain thing, and to reject them as a stone where we had asked for bread. If one aspect of the subject encourages our hopes, so does the other tend to chasten our desires, and he is perhaps the wisest, and in the long run the happiest, among his fellows, who has learned not only this science, but also the larger lesson which it directly teaches, namely, to temper our aspirations to that which is possible, to moderate our desires to that which is attainable, to restrict our hopes to that of which accomplishment, if not immediately practicable, is at least distinctly within the range of conception.
From Presidential Address (Aug 1878) to the British Association, Dublin, published in the Report of the 48th Meeting of the British Association for the Advancement of Science (1878), 31.
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Everything that we call Invention or Discovery in the higher sense of the word is the serious exercise and activity of an original feeling for truth, which, after a long course of silent cultivation, suddenly flashes out into fruitful knowledge.
In The Maxims and Reflections of Goethe (1906), 193.
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Everywhere science is enriched by unscientific methods and unscientific results, ... the separation of science and non-science is not only artificial but also detrimental to the advancement of knowledge. If we want to understand nature, if we want to master our physical surroundings, then we must use all ideas, all methods, and not just a small selection of them.
Against Method: Outline of an Anarchistic Theory of Knowledge (1975), 305-6.
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Exact knowledge is the enemy of vitalism.
In Of Molecules and Men (1966, 2004), prefatory statement.
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Experiment adds to knowledge, Credulity leads to error.
Anonymous
Arabic Proverb.
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Experimental observations are only experience carefully planned in advance, and designed to form a secure basis of new knowledge.
In The Design of Experiments (1935, 1970), 7.
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Experimentation is the least arrogant method of gaining knowledge. The experimenter humbly asks a question of nature.
[Unverified. Please contact Webmaster if you can identify the primary source.]
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Expertise in one field does not carry over into other fields. But experts often think so. The narrower their field of knowledge the more likely they are to think so.
In Time Enough for Love: The Lives of Lazarus Long (1973), 367.
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Extremely hazardous is the desire to explain everything, and to supply whatever appears a gap in history—for in this propensity lies the first cause and germ of all those violent and arbitrary hypotheses which perplex and pervert the science of history far more than the open avowal of our ignorance, or the uncertainty of our knowledge: hypotheses which give an oblique direction, or an exaggerated and false extension, to a view of the subject originally not incorrect.
In Friedrich von Schlegel and James Burton Robertson (trans.), The Philosophy of History (1835), 12.
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Facts, and facts alone, are the foundation of science... When one devotes oneself to experimental research it is in order to augment the sum of known facts, or to discover their mutual relations.
Precis elementaire de Physiologie (1816), ii. Trans. J. M. D. Olmsted, François Magendie: Pioneer in Experimental Physiology and Scientific Medicine in XIX Century France (1944), 62.
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Faith and knowledge lean largely upon each other in the practice of medicine.
In The Collected Works of Dr. P.M. Latham (1878), Vol. 2, 408.
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Faith is a knowledge within the heart, beyond the reach of proof.
In The Kahlil Gibran Reader: Inspirational Writings (2006), 38.
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Few will deny that even in the first scientific instruction in mathematics the most rigorous method is to be given preference over all others. Especially will every teacher prefer a consistent proof to one which is based on fallacies or proceeds in a vicious circle, indeed it will be morally impossible for the teacher to present a proof of the latter kind consciously and thus in a sense deceive his pupils. Notwithstanding these objectionable so-called proofs, so far as the foundation and the development of the system is concerned, predominate in our textbooks to the present time. Perhaps it will be answered, that rigorous proof is found too difficult for the pupil’s power of comprehension. Should this be anywhere the case,—which would only indicate some defect in the plan or treatment of the whole,—the only remedy would be to merely state the theorem in a historic way, and forego a proof with the frank confession that no proof has been found which could be comprehended by the pupil; a remedy which is ever doubtful and should only be applied in the case of extreme necessity. But this remedy is to be preferred to a proof which is no proof, and is therefore either wholly unintelligible to the pupil, or deceives him with an appearance of knowledge which opens the door to all superficiality and lack of scientific method.
In 'Stücke aus dem Lehrbuche der Arithmetik', Werke, Bd. 2 (1904), 296.
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Finally, I aim at giving denominations to things, as agreeable to truth as possible. I am not ignorant that words, like money, possess an ideal value, and that great danger of confusion may be apprehended from a change of names; in the mean time it cannot be denied that chemistry, like the other sciences, was formerly filled with improper names. In different branches of knowledge, we see those matters long since reformed: why then should chemistry, which examines the real nature of things, still adopt vague names, which suggest false ideas, and favour strongly of ignorance and imposition? Besides, there is little doubt but that many corrections may be made without any inconvenience.
Physical and Chemical Essays (1784), Vol. I, xxxvii.
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First of all, we ought to observe, that mathematical propositions, properly so called, are always judgments a priori, and not empirical, because they carry along with them necessity, which can never be deduced from experience. If people should object to this, I am quite willing to confine my statements to pure mathematics, the very concept of which implies that it does not contain empirical, but only pure knowledge a priori.
In Critique of Pure Reason (1900), 720.
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First, In showing in how to avoid attempting impossibilities. Second, In securing us from important mistakes in attempting what is, in itself possible, by means either inadequate or actually opposed to the end in view. Thirdly, In enabling us to accomplish our ends in the easiest, shortest, most economical, and most effectual manner. Fourth, In inducing us to attempt, and enabling us to accomplish, object which, but for such knowledge, we should never have thought of understanding.
On the ways that a knowledge of the order of nature can be of use.
Quoted in Robert Routledge, Discoveries and Inventions of the 19th Century (1890), 665.
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Five centuries ago the printing press sparked a radical reshaping of the nature of education. By bringing a master’s words to those who could not hear a master’s voice, the technology of printing dissolved the notion that education must be reserved for those with the means to hire personal tutors. Today we are approaching a new technological revolution, one whose impact on education may be as far-reaching as that of the printing press: the emergence of powerful computers that are sufficiently inexpensive to be used by students for learning, play and exploration. It is our hope that these powerful but simple tools for creating and exploring richly interactive environments will dissolve the barriers to the production of knowledge as the printing press dissolved the barriers to its transmission.
As co-author with A.A. diSessa, from 'Preface', Turtle Geometry: The Computer as a Medium for Exploring Mathematics (1986), xiii.
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For [Richard] Feynman, the essence of the scientific imagination was a powerful and almost painful rule. What scientists create must match reality. It must match what is already known. Scientific creativity is imagination in a straitjacket.
In Genius: The Life and Science of Richard Feynman (1992), 324.
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For a modern ruler the laws of conservation and transformation of energy, when the vivifing stream takes its source, the ways it wends its course in nature, and how, under wisdom and knowledge, it may be intertwined with human destiny, instead of careering headlong to the ocean, are a study at least as pregnant with consequences to life as any lesson taught by the long unscientific history of man.
Science and Life (1920), 5.
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For all knowledge and wonder (which is the seed of knowledge) is an impression of pleasure in itself.
The First Book of Francis Bacon of the Proficience and Advancement of Learning (1605). In Francis Bacon and Basil Montagu, The Works of Francis Bacon, Lord Chancellor of England (1852), 163
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For centuries knowledge meant proven knowledge…. Einstein’s results again turned the tables and now very few philosophers or scientists still think that scientific knowledge is, or can be, proven knowledge. But few realize that with this the whole classical structure of intellectual values falls in ruins and has to be replaced.
In 'Falsification and the Methodology of Scientific Research Programmes', in I. Lakatos and A. Musgrave (eds.), Criticism and the Growth of Knowledge: Proceedings of the International Colloquium in the Philosophy of Science, London 1965 (1970), Vol. 4, 91-92.
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For example, there are numbers of chemists who occupy themselves exclusively with the study of dyestuffs. They discover facts that are useful to scientific chemistry; but they do not rank as genuine scientific men. The genuine scientific chemist cares just as much to learn about erbium—the extreme rarity of which renders it commercially unimportant—as he does about iron. He is more eager to learn about erbium if the knowledge of it would do more to complete his conception of the Periodic Law, which expresses the mutual relations of the elements.
From 'Lessons from the History of Science: The Scientific Attitude' (c.1896), in Collected Papers (1931), Vol. 1, 20.
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For FRICTION is inevitable because the Universe is FULL of God's works.
For the PERPETUAL MOTION is in all works of Almighty GOD.
For it is not so in the engines of man, which are made of dead materials, neither indeed can be.
For the Moment of bodies, as it is used, is a false term—bless God ye Speakers on the Fifth of November.
For Time and Weight are by their several estimates.
For I bless GOD in the discovery of the LONGITUDE direct by the means of GLADWICK.
For the motion of the PENDULUM is the longest in that it parries resistance.
For the WEDDING GARMENTS of all men are prepared in the SUN against the day of acceptation.
For the wedding Garments of all women are prepared in the MOON against the day of their purification.
For CHASTITY is the key of knowledge as in Esdras, Sir Isaac Newton & now, God be praised, in me.
For Newton nevertheless is more of error than of the truth, but I am of the WORD of GOD.
From 'Jubilate Agno' (c.1758-1763), in N. Callan (ed.), The Collected Poems of Christopher Smart (1949), Vol. 1, 276.
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For geologists ... the word 'plate' is in somewhat the same position as 'skyscraper'. It is a dead (or almost dead) metaphor. Geologists know (or they think they know) what plates are, almost as well as the commuter knows what a skyscraper is.
Thinking About the Earth (1996), 307.
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For in much wisdom is much grief and he that increaseth knowledge, increaseth sorrow.
Bible
From 'Ecclesiastes', 1:18. In King James Version, The Bible: Containing the Old and New Testaments Translated Out Of the Original Tongues (circa 725 B.C., 1834) https://books.google.com/books?id=qbaVYV0QiPMC 1834
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For it being the nature of the mind of man (to the extreme prejudice of knowledge) to delight in the spacious liberty of generalities, as in a champion region, and not in the enclosures of particularity; the Mathematics were the goodliest fields to satisfy that appetite.
In De Augmentis, Bk. 8; Advancement of Learning, Bk. 2.
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For it is owing to their wonder that men now both begin and at first began to philosophize; they wondered originally at the obvious difficulties, then advanced little by little and stated difficulties about the greater matters, e.g. about the phenomena of the moon and those of the sun and the stars, and about the genesis of the universe. And a man who is puzzled and wonders thinks himself ignorant (whence even the lover of myth is in a sense a lover of wisdom, for myth is composed of wonders); therefore since they philosophized in order to escape from ignorance, evidently they were pursuing science in order to know, and not for any utilitarian end. And this is confirmed by the facts; for it was when almost all the necessities of life and the things that make for comfort and recreation were present, that such knowledge began to be sought. Evidently then we do not seek it for the sake of any advantage; but as the man is free, we say, who exists for himself and not for another, so we pursue this as the only free science, for it alone exists for itself.
Aristotle
Metaphysics, 982b, 12-27. In Jonathan Baines (ed.), The Complete Works of Aristotle (1984), Vol. 2, 1554.
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For man being the minister and interpreter of nature, acts and understands so far as he has observed of the order, the works and mind of nature, and can proceed no further; for no power is able to loose or break the chain of causes, nor is nature to be conquered but by submission: whence those twin intentions, human knowledge and human power, are really coincident; and the greatest hindrance to works is the ignorance of causes.
In The Great lnstauration.
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For me and many scientists, the understanding of nature is based upon scientific investigations that add to humankind’s ever increasing fund of knowledge. The fund is ever changing as new generations of scientists add to, debate, and reinterpret the data.
From 'Mystery of the First Americans: Claims for the Remains: C. Vance Haynes, Jr.', web page on pbs.org website.
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For most diagnoses all that is needed is an ounce of knowledge, an ounce of intelligence, and a pound of thoroughness.
Anonymous
Arabic Proverb. In Lancet (1951). In John Murtagh, General Practice (1998), 125.
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For myself, I like a universe that, includes much that is unknown and, at the same time, much that is knowable. A universe in which everything is known would be static and dull, as boring as the heaven of some weak-minded theologians. A universe that is unknowable is no fit place for a thinking being. The ideal universe for us is one very much like the universe we inhabit. And I would guess that this is not really much of a coincidence.
Concluding paragraph, 'Can We know the Universe? Reflections on a Grain of Salt', Broca's Brain (1979, 1986), 21.
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For now we see through a glass, darkly; but then face to face: now I know in part; but then shall I know…
Bible
In The Bible, King James Version, 1 Corinthians 13:12.
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For the little that one has reflected on the origin of our knowledge, it is easy to perceive that we can acquire it only by means of comparison. That which is absolutely incomparable is wholly incomprehensible. God is the only example that we could give here. He cannot be comprehended, because he cannot be compared. But all which is susceptible of comparison, everything that we can perceive by different aspects, all that we can consider relatively, can always be judged according to our knowledge.
'Histoire naturelle de l'Homme', Histoire Naturelle, Générale et Particulière, Avec la Description du Cabinet du Roi (1749), Vol. 2, 431. Trans. Phillip R. Sloan.
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For the things of this world cannot be made known without a knowledge of mathematics.
(Sent to the Pope in 1267). As translated in Opus Majus (1928), Vol. 1, 128.
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For the truth of the conclusions of physical science, observation is the supreme Court of Appeal. It does not follow that every item which we confidently accept as physical knowledge has actually been certified by the Court; our confidence is that it would be certified by the Court if it were submitted. But it does follow that every item of physical knowledge is of a form which might be submitted to the Court. It must be such that we can specify (although it may be impracticable to carry out) an observational procedure which would decide whether it is true or not. Clearly a statement cannot be tested by observation unless it is an assertion about the results of observation. Every item of physical knowledge must therefore be an assertion of what has been or would be the result of carrying out a specified observational procedure.
In ’Scientific Epistemology', The Philosophy of Physical Science (1938, 2012), 9.
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For there are two modes of acquiring knowledge, namely, by reasoning and experience. Reasoning draws a conclusion and makes us grant the conclusion, but does not make the conclusion certain, nor does it remove doubt so that the mind may rest on the intuition of truth, unless the mind discovers it by the path of experience; since many have the arguments relating to what can be known, but because they lack experience they neglect the arguments, and neither avoid what is harmful nor follow what is good. For if a man who has never seen fire should prove by adequate reasoning that fire burns and injures things and destroys them, his mind would not be satisfied thereby, nor would he avoid fire, until he placed his hand or some combustible substance in the fire, so that he might prove by experience that which reasoning taught. But when he has had actual experience of combustion his mind is made certain and rests in the full light of truth. Therefore reasoning does not suffice, but experience does.
Opus Majus [1266-1268], Part VI, chapter I, trans. R. B. Burke, The Opus Majus of Roger Bacon (1928), Vol. 2, 583.
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For this knowledge of right living, we have sought a new name... . As theology is the science of religious life, and biology the science of [physical] life ... so let Oekology be henceforth the science of [our] normal lives ... the worthiest of all the applied sciences which teaches the principles on which to found... healthy... and happy life.
Quoted in Robert Clarke (ed.), Ellen Swallow: The Woman Who Founded Ecology (1973), 120.
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For those who have devoted their lives to better understanding the peopling of the New World, the Kennewick find is a rare opportunity for a significant increase in knowledge about who the early Americans were and how they relate to living tribes.
From 'Mystery of the First Americans: Claims for the Remains: C. Vance Haynes, Jr.', web page on pbs.org website.
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For, the great enemy of knowledge is not error, but inertness. All that we want is discussion, and then we are sure to do well, no matter what our blunders may be. One error conflicts with another; each destroys its opponent, and truth is evolved.
In History of Civilization in England (1861), Vol. 2, 408.
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Formal thought, consciously recognized as such, is the means of all exact knowledge; and a correct understanding of the main formal sciences, Logic and Mathematics, is the proper and only safe foundation for a scientific education.
In Number and its Algebra (1896), 134.
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Frequently, I have been asked if an experiment I have planned is pure or applied science; to me it is more important to know if the experiment will yield new and probably enduring knowledge about nature. If it is likely to yield such knowledge, it is, in my opinion, good fundamental research; and this is more important than whether the motivation is purely aesthetic satisfaction on the part of the experimenter on the one hand or the improvement of the stability of a high-power transistor on the other.
Quoted in Richard R. Nelson, 'The Link Between Science and Invention: The Case of the Transistor,' The Rate and Direction of the Inventive Activity (1962). In Daniel S. Greenberg, The Politics of Pure Science (1999), 32, footnote.
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From astronomy we find the east, west, south, and north, as well as the theory of the heavens, the equinox, solstice, and courses of the stars. If one has no knowledge of these matters, he will not be able to have any comprehension of the theory of sundials.
Vitruvius
In De Architectura, Book 1, Chap 1, Sec. 10. As translated in Morris Hicky Morgan (trans.), Vitruvius: The Ten Books on Architecture (1914), 10.
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From our home on the Earth, we look out into the distances and strive to imagine the sort of world into which we were born. Today, we have reached far into space. Our immediate neighborhood we know rather intimately. But with increasing distance our knowledge fades … The search will continue. The urge is older than history. It is not satisfied and will not be suppressed.
In 'From Our Home On The Earth', The Land (1946), 5, 145. As cited on the webpage of the Edwin Powell Hubble Papers.
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From the freedom to explore comes the joy of learning. From knowledge acquired by personal initiative arises the desire for more knowledge. And from mastery of the novel and beautiful world awaiting every child comes self-confidence.
In The Creation: An Appeal to Save Life on Earth (2010), 147.
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From the level of pragmatic, everyday knowledge to modern natural science, the knowledge of nature derives from man’s primary coming to grips with nature; at the same time it reacts back upon the system of social labour and stimulates its development.
…...
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From the medical theoretical standpoint, it suffices to deliberate and speculate regarding most illnesses. However, therapeutically, speculation is not adequate, and true and correct knowledge is imperative.
As quoted in Fred Rosner, The Medical Legacy of Moses Maimonides (1998), 54.
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From the physician, as emphatically the student of Nature, is expected not only an inquiry into cause, but an investigation of the whole empire of Nature and a determination of the applicability of every species of knowledge to the improvement of his art.
In 'An Inquiry, Analogical and Experimental, into the Different Electrical conditions of Arterial and Venous Blood', New Orleans Medical and Surgical Journal (1853-4), 10, 584-602 & 738-757. As cited in George B. Roth, 'Dr. John Gorrie—Inventor of Artificial Ice and Mechanical Refrigeration', The Scientific Monthly (May 1936) 42 No. 5, 464-469.
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From whence it is obvious to conclude that, since our Faculties are not fitted to penetrate into the internal Fabrick and real Essences of Bodies; but yet plainly discover to us the Being of a GOD, and the Knowledge of our selves, enough to lead us into a full and clear discovery of our Duty, and great Concernment, it will become us, as rational Creatures, to imploy those Faculties we have about what they are most adapted to, and follow the direction of Nature, where it seems to point us out the way.
An Essay Concerning Human Understanding (1690). Edited by Peter Nidditch (1975), Book 4, Chapter 12, Section 11, 646.
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Fullness of knowledge always means some understanding of the depths of our ignorance; and that is always conducive to humility and reverence.
In 'What I Believe: Living Philosophies II', The Forum (Oct 1929), 82, No. 4, 199.
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Furnished as all Europe now is with Academies of Science, with nice instruments and the spirit of experiment, the progress of human knowledge will be rapid and discoveries made of which we have at present no conception. I begin to be almost sorry I was born so soon, since I cannot have the happiness of knowing what will be known a hundred years hence.
…...
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Genetics as a whole is the great over-hyped science, and geneticists know that even if they don't say it. All that genetics really is is anatomy plus an enormous research group grant. It's what anatomists did in the fifteenth century-looking at the heart and seeing how it worked. Now, we are doing the same with DNA
Quoted by Sean O'Hagan, in 'End of sperm report', The Observer (14 Sep 2002).
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Geography is … only a branch of statistics, a knowledge of which is necessary to the well-understanding of the history of nations, as well as their situations relative to each other.
In The Statistical Breviary: Shewing, on a Principle Entirely New, the Resources of Every State and Kingdom in Europe (1801), 5.
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Geological facts being of an historical nature, all attempts to deduce a complete knowledge of them merely from their still, subsisting consequences, to the exclusion of unexceptionable testimony, must be deemed as absurd as that of deducing the history of ancient Rome solely from the medals or other monuments of antiquity it still exhibits, or the scattered ruins of its empire, to the exclusion of a Livy, a Sallust, or a Tacitus.
Geological Essays (1799), 5.
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Geology holds the keys of one of the kingdoms of nature; and it cannot be said that a science which extends our Knowledge, and by consequence our Power, over a third part of nature, holds a low place among intellectual employments.
Vindiciae Geologicae (1820),7.
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Geology is intimately related to almost all the physical sciences, as is history to the moral. An historian should, if possible, be at once profoundly acquainted with ethics, politics, jurisprudence, the military art, theology; in a word, with all branches of knowledge, whereby any insight into human affairs, or into the moral and intellectual nature of man, can be obtained. It would be no less desirable that a geologist should be well versed in chemistry, natural philosophy, mineralogy, zoology, comparative anatomy, botany; in short, in every science relating to organic and inorganic nature. With these accomplishments the historian and geologist would rarely fail to draw correct and philosophical conclusions from the various monuments transmitted to them of former occurrences.
Principles of Geology (1830-3), Vol. 1, 2-3.
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Geology is part of that remarkable dynamic process of the human mind which is generally called science and to which man is driven by an inquisitive urge. By noticing relationships in the results of his observations, he attempts to order and to explain the infinite variety of phenomena that at first sight may appear to be chaotic. In the history of civilization this type of progressive scientist has been characterized by Prometheus stealing the heavenly fire, by Adam eating from the tree of knowledge, by the Faustian ache for wisdom.
In 'The Scientific Character of Geology', The Journal of Geology (Jul 1961), 69, No. 4, 454.
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Geometric writings are not rare in which one would seek in vain for an idea at all novel, for a result which sooner or later might be of service, for anything in fact which might be destined to survive in the science; and one finds instead treatises on trivial problems or investigations on special forms which have absolutely no use, no importance, which have their origin not in the science itself but in the caprice of the author; or one finds applications of known methods which have already been made thousands of times; or generalizations from known results which are so easily made that the knowledge of the latter suffices to give at once the former. Now such work is not merely useless; it is actually harmful because it produces a real incumbrance in the science and an embarrassment for the more serious investigators; and because often it crowds out certain lines of thought which might well have deserved to be studied.
From 'On Some Recent Tendencies in Geometric Investigations', Rivista di Matematica (1891), 43. In Bulletin American Mathematical Society (1904), 443.
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Give me the storm and tempest of thought and action, rather than the dead calm of ignorance and faith. Banish me from Eden when you will, but first let me eat of the fruit of the Tree of Knowledge.
Epigraph, title page of The Works of Robert G. Ingersoll (1902), Vol. 3. Since it is not printed with a citation, Webmaster believes it is attributable to the author of the book.
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Given any domain of thought in which the fundamental objective is a knowledge that transcends mere induction or mere empiricism, it seems quite inevitable that its processes should be made to conform closely to the pattern of a system free of ambiguous terms, symbols, operations, deductions; a system whose implications and assumptions are unique and consistent; a system whose logic confounds not the necessary with the sufficient where these are distinct; a system whose materials are abstract elements interpretable as reality or unreality in any forms whatsoever provided only that these forms mirror a thought that is pure. To such a system is universally given the name MATHEMATICS.
In 'Mathematics', National Mathematics Magazine (Nov 1937), 12, No. 2, 62.
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Goethe said that he who cannot draw on 3,000 years of learning is living hand to mouth. It could just as well be said that individuals who do tap deeply into this rich cultural legacy are wealthy indeed. Yet the paradox is that much of this wisdom is buried in a sea of lesser books or like lost treasure beneath an ocean of online ignorance and trivia. That doesn’t mean that with a little bit of diligence you can’t tap into it. Yet many people, perhaps most, never take advantage of all this human experience. They aren’t obtaining knowledge beyond what they need to know for work or to get by. As a result, their view of our amazing world is diminished and their lives greatly circumscribed.
In An Embarrassment of Riches: Tapping Into the World's Greatest Legacy of Wealth (2013), 65.
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Gradually, … the aspect of science as knowledge is being thrust into the background by the aspect of science as the power of manipulating nature. It is because science gives us the power of manipulating nature that it has more social importance than art. Science as the pursuit of truth is the equal, but not the superior, of art. Science as a technique, though it may have little intrinsic value, has a practical importance to which art cannot aspire.
In The Scientific Outlook (1931, 2009), xxiv.
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Great healers, people of divine realization, do not cure by chance but by exact knowledge.
In Richard Alan Krieger, Civilization's Quotations (2002), 313.
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Great is the faith of the flush of knowledge and of the investigation of the depths of qualities and things.
In Walt Whitman and William Michael Rossetti (ed.), 'Preface to the First Edition of Leaves of Grass', Poems By Walt Whitman (1868), 46.
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Great knowledge embraces the whole: small knowledge, a part only. [Great knowledge encompasses everything. The little one divides everything.]
As translated from the Chinese original by Herbert A. Giles in Chuang Tzŭ: Mystic, Moralist, and Social Reformer (1889), 13. The brackets contain a translation from a version written in Spanish on the website frasesypensamientos.com.ar
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Groups do not have experiences except insofar as all their members do. And there are no experiences... that all the members of a scientific community must share in the course of a [scientific] revolution. Revolutions should be described not in terms of group experience but in terms of the varied experiences of individual group members. Indeed, that variety itself turns out to play an essential role in the evolution of scientific knowledge.
Thomas S. Kuhn's Foreword to Paul Hoyningen-Huene, Reconstructing Scientific Revolutions: Thomas S Kuhn's Philosophy of Science (1993), xiii.
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Hands-on experience at the critical time, not systematic knowledge, is what counts in the making of a naturalist. Better to be an untutored savage for a while, not to know the names or anatomical detail. Better to spend long stretches of time just searching and dreaming.
In Naturalist (1994), 11-12.
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He that in ye mine of knowledge deepest diggeth, hath, like every other miner, ye least breathing time, and must sometimes at least come to terr. alt. for air.
[Explaining how he writes a letter as break from his study.]
Letter to Dr. Law (15 Dec 1716) as quoted in Norman Lockyer, (ed.), Nature (25 May 1881), 24, 39. The source refers to it as an unpublished letter.
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He that knows the secrets of nature with Albertus Magnus, or the motions of the heavens with Galileo, or the cosmography of the moon with Hevelius, or the body of man with Galen, or the nature of diseases with Hippocrates, or the harmonies in melody with Orpheus, or of poesy with Homer, or of grammar with Lilly, or of whatever else with the greatest artist; he is nothing if he knows them merely for talk or idle speculation, or transient and external use. But he that knows them for value, and knows them his own, shall profit infinitely.
In Bertram Doben (ed.), Centuries of Meditations (1908), The Third Century, No. 41, 189-190.
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He who has imagination without learning has wings and no feet.
In Tryon Edwards, A Dictionary of Thoughts (1908), 245.
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He who knows not, and knows not he knows not, he is a fool—shun him;
He who knows not, and knows he knows not, he is simple—teach him;
He who knows, and knows not he knows, he is asleep—wake him;
He who knows, and knows he knows, he is wise—follow him.
Anonymous
Hesiod, 'Works and Days,' 293-7. In William White, Notes and Queries (1904), Series 10, Vol. 1, 235, the correspondent H.A. Strong says that the origin of these lines is to be found in Hesiod [Greek, 8th Century B.C.], Works and Days, 293-7; that the passage was very celebrated in antiquity, and is quoted by Aristotle, Nic. Eth., i. 4; and that both Livy (xxii. 29) and Cicero (Pro Cluent., 31) refer to it. Another correspondent (J.H.K.) said it was stated to be an Arab proverb in Lady [Isabel] Burton, Life of [Captain] Sir Richard [F.] Burton (1893), Vol. 1, 548, footnote, which prepends to the quote, “Men are four.”
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He who knows what best to omit is the best teacher.
In Otto Neurath, Empiricism and Sociology (1973), 220.
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He who knows what sweets and virtues are in the ground, the waters, the plants, the heavens, and how to come at these enchantments, is the rich and royal man.
From 'Nature', collected in Essays, Second Series (1844), 188.
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He who wishes to explain Generation must take for his theme the organic body and its constituent parts, and philosophize about them; he must show how these parts originated, and how they came to be in that relation in which they stand to each other. But he who learns to know a thing not only from its phenomena, but also its reasons and causes; and who, therefore, not by the phenomena merely, but by these also, is compelled to say: “The thing must be so, and it cannot be otherwise; it is necessarily of such a character; it must have such qualities; it is impossible for it to possess others”—understands the thing not only historically but truly philosophically, and he has a philosophic knowledge of it. Our own Theory of Generation is to be such a philosphic comprehension of an organic body, a very different one from one merely historical. (1764)
Quoted as an epigraph to Chap. 2, in Ernst Haeckel, The Evolution of Man, (1886), Vol 1, 25.
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He's the best physician that knows the worthlessness of the most medicines.
In Poor Richard's Almanack (1733).
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Hellenic science is a victory of rationalism, which appears greater, not smaller, when one is made to realize that it had been won in spite of the irrational beliefs of the Greek people; all in all, it was a triumph of reason in the face of unreason. Some knowledge of Greek superstitions is needed not only for a proper appreciation of that triumph but also for the justification of occasional failures, such as the many Platonic aberrations.
In A History of Science: Volume 1: Ancient Science Through the Golden Age of Greece (1952), ix.
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Here I shall present, without using Analysis [mathematics], the principles and general results of the Théorie, applying them to the most important questions of life, which are indeed, for the most part, only problems in probability. One may even say, strictly speaking, that almost all our knowledge is only probable; and in the small number of things that we are able to know with certainty, in the mathematical sciences themselves, the principal means of arriving at the truth—induction and analogy—are based on probabilities, so that the whole system of human knowledge is tied up with the theory set out in this essay.
Philosophical Essay on Probabilities (1814), 5th edition (1825), trans. Andrew I. Dale (1995), 1.
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Here is the element or power of conduct, of intellect and knowledge, of beauty, and of social life and manners, and all needful to build up a complete human life. … We have instincts responding to them all, and requiring them all, and we are perfectly civilized only when all these instincts of our nature—all these elements in our civilization have been adequately recognized and satisfied.
Collected in Tryon Edwards (ed.), A Dictionary of Thoughts: Being a Cyclopedia of Laconic Quotations from the Best Authors Both Ancient and Modern (1891), 75.
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Heroes of physics, Argonauts of our time
Who leaped the mountains, who crossed the seas …
You have confirmed in uncomfortable places
What Newton knew without leaving his study.
Discours en Vers sur l’Homme (1734), Quatrieme discours: de la Moderation (1738). English translation as in J. L. Heilbron, Weighing Imponderables and Other Quantitative Science around 1800 (1993), 224.
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His [Sherlock Holmes] ignorance was as remarkable as his knowledge. … he was ignorant of the Copernican Theory and of the composition of the Solar System. … “But the Solar System!" I protested. “What the deuce is it to me?” he interrupted impatiently; “you say that we go round the sun. If we went round the moon it would not make a pennyworth of difference to me or to my work.”
In 'The Science Of Deduction', A Study In Scarlet (1887, 1904), 15-16.
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His [Thomas Edison] method was inefficient in the extreme, for an immense ground had to be covered to get anything at all unless blind chance intervened and, at first, I was almost a sorry witness of his doings, knowing that just a little theory and calculation would have saved him 90 per cent of the labor. But he had a veritable contempt for book learning and mathematical knowledge, trusting himself entirely to his inventor's instinct and practical American sense. In view of this, the truly prodigious amount of his actual accomplishments is little short of a miracle.
As quoted in 'Tesla Says Edison Was an Empiricist', The New York Times (19 Oct 1931), 25. In 1884, Tesla had moved to America to assist Edison in the designing of motors and generators.
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Historically, science has pursued a premise that Nature can be understood fully, its future predicted precisely, and its behavior controlled at will. However, emerging knowledge indicates that the nature of Earth and biological systems transcends the limits of science, questioning the premise of knowing, prediction, and control. This knowledge has led to the recognition that, for civilized human survival, technological society has to adapt to the constraints of these systems.
As quoted in Chris Maser, Decision-Making for a Sustainable Environment: A Systemic Approach (2012), 4, citing N. Narasimhan, 'Limitations of Science and Adapting to Nature', Environmental Research Letters (Jul-Sep 2007), 2.
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History … celebrates the battlefields that kill us, but keeps silent on the crop fields that sustain us. It knows the bastards of kings, she doesn’t know the origin of wheat. This is the way of human folly.
From the original French, “L’histoire … célèbre les champs de bataille qui nous tuent, elle garde le silence sur les champs de culture qui nous font vivre; elle sait les bâtards des rois, elle ne sait pas l'origine du froment. Ainsi le veut la sottise humaine,” in Les Merveilles de l'Instinct Chez les Insectes: Morceaux Choisis (The Wonders of Instinct in Insects: Selected Pieces) (1913), 242. English version by Webmaster using Google to translate literally and indicate the context is lamenting that history has not preserved the origins of food cultivation. The translation usually seen is “History celebrates the battlefields whereon we meet our death but scorns to speak of the ploughed fields whereby we live. It knows the names of the kings’ bastards, but cannot tell us the origin of wheat,” for example, in Alan L. Mackay, A Dictionary of Scientific Quotations (1991), 88.
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History tells us that [leading minds] can’t do it alone. From landing on the moon, to sequencing the human genome, to inventing the Internet, America has been the first to cross that new frontier because we had leaders who paved the way: leaders like President Kennedy, who inspired us to push the boundaries of the known world and achieve the impossible; leaders who not only invested in our scientists, but who respected the integrity of the scientific process.
From weekly Democratic address as President-Elect, online video (20 Dec 2008), announcing his selection of science and technology advisers. C-Span video 282995-102.
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Hitherto the principle of causality was universally accepted as an indispensable postulate of scientific research, but now we are told by some physicists that it must be thrown overboard. The fact that such an extraordinary opinion should be expressed in responsible scientific quarters is widely taken to be significant of the all-round unreliability of human knowledge. This indeed is a very serious situation.
In Max Planck and James Vincent Murphy (trans.), Where is Science Going?, (1932), 66.
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How much is our knowledge of bacteria due to the discovery of the aniline dyes on the one hand and the discovery by Weigert that bacteria had a selective affinity for certain of these?
From address, 'A Medical Retrospect'. Published in Yale Medical Journal (Oct 1910), 17, No. 2, 61.
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How to start on my adventure—how to become a forester—was not so simple. There were no schools of Forestry in America. … Whoever turned his mind toward Forestry in those days thought little about the forest itself and more about its influences, and about its influence on rainfall first of all. So I took a course in meteorology, which has to do with weather and climate. and another in botany, which has to do with the vegetable kingdom—trees are unquestionably vegetable. And another in geology, for forests grow out of the earth. Also I took a course in astronomy, for it is the sun which makes trees grow. All of which is as it should be, because science underlies the forester’s knowledge of the woods. So far I was headed right. But as for Forestry itself, there wasn’t even a suspicion of it at Yale. The time for teaching Forestry as a profession was years away.
In Breaking New Ground (1947, 1998), 3.
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However high we climb in the pursuit of knowledge we shall still see heights above us, and the more we extend our view, the more conscious we shall be of the immensity which lies beyond.
Address to the British Association (1863), in Report of the Thirty-Third Meeting of the British Association for the Advancement of Science (1864), li
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Human behaviour reveals uniformities which constitute natural laws. If these uniformities did not exist, then there would be neither social science nor political economy, and even the study of history would largely be useless. In effect, if the future actions of men having nothing in common with their past actions, our knowledge of them, although possibly satisfying our curiosity by way of an interesting story, would be entirely useless to us as a guide in life.
In Cours d’Economie Politique (1896-7), Vol. 2, 397.
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Human knowledge and human power meet in one; for where the cause is not known the effect cannot be produced. Nature to be commanded must be obeyed; and that which in contemplation is as the cause is in operation as the rule.
From Novum Organum (1620), Book 1, Aphorism 3. Translated as The New Organon: Aphorisms Concerning the Interpretation of Nature and the Kingdom of Man), collected in James Spedding, Robert Ellis and Douglas Heath (eds.), The Works of Francis Bacon (1857), Vol. 4, 47.
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Human knowledge is the parent of doubt.
In Maxims, Characters, and Reflections, Critical, Satyrical and Moral (2nd ed., 1757), 9.
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Hypotheses are cradle-songs by which the teacher lulls his scholars to sleep. The thoughtful and honest observer is always learning more and more of his limitations; he sees that the further knowledge spreads, the more numerous are the problems that make their appearance.
In The Maxims and Reflections of Goethe (1906), 195.
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I … began my career as a wireless amateur. After 43 years in radio, I do not mind confessing that I am still an amateur. Despite many great achievements in the science of radio and electronics, what we know today is far less than what we have still to learn.
Address at Banquet of the International Congress on Rheumatic Diseases, printed in 'Man and Science', Radio Age: Research, Manufacturing, Communications, Broadcasting, Television (Jul 1949), 8, No. 4, 3.
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I also maintain that clear knowledge of natural science must be acquired, in the first instance, through mastery of medicine alone.
In Fielding Hudson Garrison, An Introduction to the History of Medicine (1929), 14.
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I am almost thanking God that I was never educated, for it seems to me that 999 of those who are so, expensively and laboriously, have lost all before they arrive at my age—& remain like Swift's Stulbruggs—cut and dry for life, making no use of their earlier-gained treasures:—whereas, I seem to be on the threshold of knowledge.
In Vivien Noakes, Edward Lear: the Life of a Wanderer (1969), 22.
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I am an atheist, out and out. It took me a long time to say it. I’ve been an atheist for years and years, but somehow I felt it was intellectually unrespectable to say one was an atheist, because it assumed knowledge that one didn't have. Somehow, it was better to say one was a humanist or an agnostic. I finally decided that I’m a creature of emotion as well as of reason. Emotionally, I am an atheist. I don't have the evidence to prove that God doesn’t exist, but I so strongly suspect he doesn’t that I don’t want to waste my time.
'Isaac Asimov on Science and the Bible'. In Sidney Hook, et. al. On the Barricades: Religion and Free Inquiry in Conflict (1989), 329.
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I am born into an environment–I know not whence I came nor whither I go nor who I am. This is my situation as yours, every single one of you. The fact that everyone always was in this same situation, and always will be, tells me nothing. Our burning question as to the whence and whither–all we can ourselves observe about it is the present environment. That is why we are eager to find out about it as much as we can. That is science, learning, knowledge; it is the true source of every spiritual endeavour of man. We try to find out as much as we can about the spatial and temporal surroundings of the place in which we find ourselves put by birth.
…...
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I am convinced that it is impossible to expound the methods of induction in a sound manner, without resting them upon the theory of probability. Perfect knowledge alone can give certainty, and in nature perfect knowledge would be infinite knowledge, which is clearly beyond our capacities. We have, therefore, to content ourselves with partial knowledge—knowledge mingled with ignorance, producing doubt.
The Principles of Science: A Treatise on Logic and Scientific Method, 2nd edition (1877), 197.
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I am entitled to say, if I like, that awareness exists in all the individual creatures on the planet—worms, sea urchins, gnats, whales, subhuman primates, superprimate humans, the lot. I can say this because we do not know what we are talking about: consciousness is so much a total mystery for our own species that we cannot begin to guess about its existence in others.
In Late Night Thoughts on Listening to Mahler's Ninth Symphony(1984), 223.
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I am now convinced that we have recently become possessed of experimental evidence of the discrete or grained nature of matter, which the atomic hypothesis sought in vain for hundreds and thousands of years. The isolation and counting of gaseous ions, on the one hand, which have crowned with success the long and brilliant researches of J.J. Thomson, and, on the other, agreement of the Brownian movement with the requirements of the kinetic hypothesis, established by many investigators and most conclusively by J. Perrin, justify the most cautious scientist in now speaking of the experimental proof of the atomic nature of matter, The atomic hypothesis is thus raised to the position of a scientifically well-founded theory, and can claim a place in a text-book intended for use as an introduction to the present state of our knowledge of General Chemistry.
In Grundriss der allgemeinen Chemie (4th ed., 1909), Preface, as cited by Erwin N. Hiebert and Hans-Gunther Korber in article on Ostwald in Charles Coulston Gillespie (ed.), Dictionary of Scientific Biography Supplement 1, Vol 15-16, 464.
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I am satisfied with the mystery of life’s eternity and with a knowledge, a sense, of the marvelous structure of existence–as well as the humble attempt to understand even a tiny portion of the Reason that manifests itself in nature.
…...
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I am sorry that the distinguished leader of the Republican Party in the House states that he is not versed in botany and publicly admits that he does not know anything of these terms or what it is all about; but, Mr. Chairman, it is indeed a sad day for the people of this country when we must close the doors of the laboratories doing research work for the people of the United States.
Speaking (28 Dec 1932) as a member of the 72nd Congress, early in the Great Depression, in opposition to an attempt to eliminate a small amount from the agricultural appropriation bill. As quoted in 'Mayor-Elect La Guardia on Research', Science (1933), New Series, 78, No. 2031, 511.
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I am sure that one secret of a successful teacher is that he has formulated quite clearly in his mind what the pupil has got to know in precise fashion. He will then cease from half-hearted attempts to worry his pupils with memorising a lot of irrelevant stuff of inferior importance.
In 'The Rhythmic Claims of Freedom and Discipline', The Aims of Education and Other Essays (1929), 46.
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I await your sentence with less fear than you pass it. The time will come when all will see what I see.
In Robert L. Weber, More Random Walks in Science (1982), 50.
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I beg this committee to recognize that knowledge is not simply another commodity. On the contrary. Knowledge is never used up, it increases by diffusion, and grows by dispersion. Knowledge and information cannot be quantitatively assessed, as a percentage of the G.N.P. Any willful cut in our resources of knowledge is an act of self-destruction.
While Librarian of Congress, asking a House Appropriations subcommittee to restore money cut from the library’s budget. As reported in New York Times (23 Feb 1986).
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I believe in intuition and inspiration. Imagination is more important than knowledge. For knowledge is limited, whereas imagination embraces the entire world, stimulating progress, giving birth to evolution. It is, strictly speaking, a real factor in scientific research.
Cosmic Religion: With Other Opinions and Aphorisms (1931), 97.
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I believe that the useful methods of mathematics are easily to be learned by quite young persons, just as languages are easily learned in youth. What a wondrous philosophy and history underlie the use of almost every word in every language—yet the child learns to use the word unconsciously. No doubt when such a word was first invented it was studied over and lectured upon, just as one might lecture now upon the idea of a rate, or the use of Cartesian co-ordinates, and we may depend upon it that children of the future will use the idea of the calculus, and use squared paper as readily as they now cipher. … When Egyptian and Chaldean philosophers spent years in difficult calculations, which would now be thought easy by young children, doubtless they had the same notions of the depth of their knowledge that Sir William Thomson might now have of his. How is it, then, that Thomson gained his immense knowledge in the time taken by a Chaldean philosopher to acquire a simple knowledge of arithmetic? The reason is plain. Thomson, when a child, was taught in a few years more than all that was known three thousand years ago of the properties of numbers. When it is found essential to a boy’s future that machinery should be given to his brain, it is given to him; he is taught to use it, and his bright memory makes the use of it a second nature to him; but it is not till after-life that he makes a close investigation of what there actually is in his brain which has enabled him to do so much. It is taken because the child has much faith. In after years he will accept nothing without careful consideration. The machinery given to the brain of children is getting more and more complicated as time goes on; but there is really no reason why it should not be taken in as early, and used as readily, as were the axioms of childish education in ancient Chaldea.
In Teaching of Mathematics (1902), 14.
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I believe that we do not know anything for certain, but everything probably.
Letter to Pierre Perrault, 'Sur la préface de M. Perrault de son traité de l'Origine des fontaines' [1763], Oeuvres Complètes de Christiaan Huygens (1897), Vol. 7, 298. Quoted in Jacques Roger, The Life Sciences in Eighteenth-Century French Thought, ed. Keith R. Benson and trans. Robert Ellrich (1997), 163.
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I believe that women‐centred, physiologically accurate knowledge of what is normal related to our female bodies, menopause, menstrual cycles and many other aspects of our health does not exist.
Address to First Congress on Women, Health, and Work (Barcelona, 1996). As quoted in 'Aphorism of the Month', Journal of Epidemiology and Community Health (Dec 2007), 61, Suppl. 2, 932.
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I believed that, instead of the multiplicity of rules that comprise logic, I would have enough in the following four, as long as I made a firm and steadfast resolution never to fail to observe them.
The first was never to accept anything as true if I did not know clearly that it was so; that is, carefully to avoid prejudice and jumping to conclusions, and to include nothing in my judgments apart from whatever appeared so clearly and distinctly to my mind that I had no opportunity to cast doubt upon it.
The second was to subdivide each on the problems I was about to examine: into as many parts as would be possible and necessary to resolve them better.
The third was to guide my thoughts in an orderly way by beginning, as if by steps, to knowledge of the most complex, and even by assuming an order of the most complex, and even by assuming an order among objects in! cases where there is no natural order among them.
And the final rule was: in all cases, to make such comprehensive enumerations and such general review that I was certain not to omit anything.
The long chains of inferences, all of them simple and easy, that geometers normally use to construct their most difficult demonstrations had given me an opportunity to think that all the things that can fall within the scope of human knowledge follow from each other in a similar way, and as long as one avoids accepting something as true which is not so, and as long as one always observes the order required to deduce them from each other, there cannot be anything so remote that it cannot be reached nor anything so hidden that it cannot be uncovered.
Discourse on Method in Discourse on Method and Related Writings (1637), trans. Desmond M. Clarke, Penguin edition (1999), Part 2, 16.
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I called it ignose, not knowing which carbohydrate it was. This name was turned down by my editor. 'God-nose' was not more successful, so in the end 'hexuronic acid' was agreed upon. To-day the substance is called 'ascorbic acid' and I will use this name.
Studies on Biological Oxidation and Some of its Catalysts (C4 Dicarboxylic Acids, Vitamin C and P Etc.) (1937), 73.
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I can assure you, reader, that in a very few hours, even during the first day, you will learn more natural philosophy about things contained in this book, than you could learn in fifty years by reading the theories and opinions of the ancient philosophers. Enemies of science will scoff at the astrologers: saying, where is the ladder on which they have climbed to heaven, to know the foundation of the stars? But in this respect I am exempt from such scoffing; for in proving my written reason, I satisfy sight, hearing, and touch: for this reason, defamers will have no power over me: as you will see when you come to see me in my little Academy.
The Admirable Discourses (1580), trans. Aurele La Rocque (1957), 27.
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I can live with doubt and uncertainty. I think it’s much more interesting to live not knowing than to have answers which might be wrong.
From transcript of a BBC television program, 'The Pleasure of Finding Things Out' (1981). In Richard Phillips Feynman and Jeffrey Robbins (ed.), The Pleasure of Finding Things Out: the Best Short Works of Richard P. Feynman (2000), 24.
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I cannot find anything showing early aptitude for acquiring languages; but that he [Clifford] had it and was fond of exercising it in later life is certain. One practical reason for it was the desire of being able to read mathematical papers in foreign journals; but this would not account for his taking up Spanish, of which he acquired a competent knowledge in the course of a tour to the Pyrenees. When he was at Algiers in 1876 he began Arabic, and made progress enough to follow in a general way a course of lessons given in that language. He read modern Greek fluently, and at one time he was furious about Sanskrit. He even spent some time on hieroglyphics. A new language is a riddle before it is conquered, a power in the hand afterwards: to Clifford every riddle was a challenge, and every chance of new power a divine opportunity to be seized. Hence he was likewise interested in the various modes of conveying and expressing language invented for special purposes, such as the Morse alphabet and shorthand. … I have forgotten to mention his command of French and German, the former of which he knew very well, and the latter quite sufficiently; …
In paper, 'William Kingdon Clifford', The Fortnightly Review (1879), 31, 671. Published in advance of Leslie Stephen and Frederick Pollock (eds.), Clifford’s Lectures and Essays (1879), Vol. 1, Introduction, 9. The 'Introduction' was written by Pollock.
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I cannot separate land and sea: to me they interfinger like a pattern in a moss agate, positive and negative shapes irrevocably interlocked. My knowledge of this peninsula depends on that understanding: of underwater canyons that are continuations of the land, of the shell fossils far inland that measure continuations of the sea in eons past.
…...
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I conclude that, while it is true that science cannot decide questions of value, that is because they cannot be intellectually decided at all, and lie outside the realm of truth and falsehood. Whatever knowledge is attainable, must be attained by scientific methods; and what science cannot discover, mankind cannot know.
Religion and Science (1935), 243.
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I confess that I have as vast contemplative ends, as I have moderate civil ends: for I have taken all knowledge to be my province.
Letter (age 31) to his uncle Lord Burleigh. In Francis Bacon, James Spedding (ed.) et al., Works of Francis Bacon (1862) Vol. 6, 109.
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I consider [H. G. Wells], as a purely imaginative writer, to be deserving of very high praise, but our methods are entirely different. I have always made a point in my romances of basing my so-called inventions upon a groundwork of actual fact, and of using in their construction methods and materials which are not entirely without the pale of contemporary engineering skill and knowledge. ... The creations of Mr. Wells, on the other hand, belong unreservedly to an age and degree of scientific knowledge far removed from the present, though I will not say entirely beyond the limits of the possible.
Gordon Jones, 'Jules Verne at Home', Temple Bar (Jun 1904), 129, 670.
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I consider that a man’s brain originally is like a little empty attic, and you have to stock it with such furniture as you choose. A fool takes in all the lumber of every sort that he comes across, so that the knowledge which might be useful to him gets crowded out, or at best is jumbled up with a lot of other things so that he has a difficulty in laying his hands upon it. Now the skilful workman is very careful indeed as to what he takes into his brain-attic. He will have nothing but the tools which may help him in doing his work, but of these he has a large assortment, and all in the most perfect order. It is a mistake to think that that little room has elastic walls and can distend to any extent. Depend upon it there comes a time when for every addition of knowledge you forget something that you knew before. It is of the highest importance, therefore, not to have useless facts elbowing out the useful ones.
In 'The Science Of Deduction', A Study In Scarlet (1887, 1904), 15-16.
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I could almost wish, at this point, that I were in the habit of expressing myself in theological terms, for if I were, I might be able to compress my entire thesis into a sentence. All knowledge of every variety (I might say) is in the mind of God—and the human intellect, even the best, in trying to pluck it forth can but “see through a glass, darkly.”
In Asimov on Physics (1976), 146. Also in Isaac Asimov’s Book of Science and Nature Quotations (1988), 279.
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I devoted myself to studying the texts—the original and commentaries—in the natural sciences and metaphysics, and the gates of knowledge began opening for me. Next I sought to know medicine, and so read the books written on it. Medicine is not one of the difficult sciences, and therefore, I excelled in it in a very short time, to the point that distinguished physicians began to read the science of medicine under me. I cared for the sick and there opened to me some of the doors of medical treatment that are indescribable and can be learned only from practice. In addition I devoted myself to jurisprudence and used to engage in legal disputations, at that time being sixteen years old.
Avicenna
W. E. Gohhnan, The Life of Ibn Sina: A Critical Edition and Annotated Translation (1974), 25-7.
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I do not believe there is anything useful which men can know with exactitude that they cannot know by arithmetic and algebra.
Oeuvres, Vol. 2, 292g. Trans. J. L. Heilbron, Electricity in the 17th and 18th Centuries: A Study of Early Modern Physics (1979), 42.
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I do not define time, space, place, and motion, as being well known to all. … [However] it will be convenient to distinguish them into Absolute and Relative, True and Apparent, Mathematical and Common.
Scholium following opening section of Definitions, Philosophia Naturalis Principia Mathematica (1687) as translated from the original Latin, in Andrew Motte, Newton's Principia: The Mathematical Principles of Natural Philosophy (1729), Vol. 1, 9.
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I do not fancy this acquiescence in second-hand hearsay knowledge; for, though we may be learned by the help of another’s knowledge, we can never be wise but by our own wisdom.
In 'Of Pedantry', collected in The Essays of Michael Seigneur de Montaigne: Translated Into English (1759), Vol. 1, 144.
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I do not personally want to believe that we already know the equations that determine the evolution and fate of the universe; it would make life too dull for me as a scientist. … I hope, and believe, that the Space Telescope might make the Big Bang cosmology appear incorrect to future generations, perhaps somewhat analogous to the way that Galileo’s telescope showed that the earth-centered, Ptolemaic system was inadequate.
From 'The Space Telescope (the Hubble Space Telescope): Out Where the Stars Do Not Twinkle', in NASA Authorization for Fiscal Year 1978: Hearings before the Committee on Commerce, Science and Transportation, United States Senate, 95th Congress, first session on S.365 (1977), 124. This was testimony to support of authorization for NASA beginning the construction of the Space Telescope, which later became known as the Hubble Space Telescope.
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I do not share in this reverence for knowledge as such. It all depends on who has the knowledge and what he does with it. That knowledge which adds greatly to character is knowledge so handled as to transform every phase of immediate experience.
In 'The Rhythmic Claims of Freedom and Discipline', The Aims of Education and Other Essays (1929), 32.
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I do not think the division of the subject into two parts - into applied mathematics and experimental physics a good one, for natural philosophy without experiment is merely mathematical exercise, while experiment without mathematics will neither sufficiently discipline the mind or sufficiently extend our knowledge in a subject like physics.
to Henry Roscoe, Professor of Chemistry at Owens College (2 Jun 1870), B.C.S Archive Quoted in R.H. Kargon, Science in Victorian Manchester (1977), 215.
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I do not understand modern physics at all, but my colleagues who know a lot about the physics of very small things, like the particles in atoms, or very large things, like the universe, seem to be running into one queerness after another, from puzzle to puzzle.
In 'On Science and Certainty', Discover Magazine (Oct 1980).
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I don’t think it is proper at all to take the position that C. P. Snow has: namely, that the science—the knowledge, the mathematical side of life—runs in an opposite direction to the life of spontaneous humanistic action. They supplement each other. In literature, for instance, writing sonnets: it takes a lot of practice to make that kind of structure become something that just pours out, but when it does pour out, it is possible to say things that cannot be said without the sonnet form. Form and expression are very close together.
In Diane K. Osbon (ed.), A Joseph Campbell Companion: Reflections on the Art of Living (Collected Works of Joseph Campbell) (1991, 1995), 261.
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I fear that the character of my knowledge is from year to year becoming more distinct and scientific; that, in exchange for vistas wide as heaven’s scope, I am being narrowed down to the field of the microscope. I see details, not wholes nor the shadow of the whole. I count some parts, and say, “I know.”
(19 Aug 1851). In Henry David Thoreau and Bradford Torrey (ed.), The Writings of Henry Thoreau: Journal: II: 1850-September 15, 1851 (1906), 406.
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I feel that, in a sense, the writer knows nothing any longer. He has no moral stance. He offers the reader the contents of his own head, a set of options and imaginative alternatives. His role is that of a scientist, whether on safari or in his laboratory, faced with an unknown terrain or subject. All he can do is to devise various hypotheses and test them against the facts.
Crash (1973, 1995), Introduction. In Barry Atkins, More Than A Game: the Computer Game as a Fictional Form (2003), 144.
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I feel, sometimes, as the renaissance man must have felt in finding new riches at every point and in the certainty that unexplored areas of knowledge and experience await at every turn.
Address to the University Students (10 Dec 1956 ) in Göran Liljestrand (ed.), Les Prix Nobel en 1955 (1956).
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I graduated from college still knowing nothing of original research in science.
In 'J. Michael Bishop: Biographical', website of nobelprize.org.
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I had a wonderful time the first time. I think I was probably more nervous back in those days because we did not know much about spaceflight in those days; we were sort of feeling our way and finding out what would happen to the human body in space and now we are putting the whole thing to work for everybody up here so I think I was a little more nervous the first time.
Replying to a Whetstone High School students’ question during a school forum held using a downlink with the Discovery Space Shuttle mission (31 Oct 1998). On NASA web page 'STS-95 Educational Downlink'. Sarah Ravely, Holleh Moheimani, Janara Walker asked, “Senator Glenn, were you more nervous being the first American to orbit the Earth or to be the oldest man ever in space?”
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I had this experience at the age of eight. My parents gave me a microscope. I don’t recall why, but no matter. I then found my own little world, completely wild and unconstrained, no plastic, no teacher, no books, no anything predictable. At first I did not know the names of the water-drop denizens or what they were doing. But neither did the pioneer microscopists. Like them, I graduated to looking at butterfly scales and other miscellaneous objects. I never thought of what I was doing in such a way, but it was pure science. As true as could be of any child so engaged, I was kin to Leeuwenhoek, who said that his work “was not pursued in order to gain the praise I now enjoy, but chiefly from a craving after knowledge, which I notice resides in me more that most other men.”
In The Creation: An Appeal to Save Life on Earth (2010), 143-144.
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I have a true aversion to teaching. The perennial business of a professor of mathematics is only to teach the ABC of his science; most of the few pupils who go a step further, and usually to keep the metaphor, remain in the process of gathering information, become only Halbwisser [one who has superficial knowledge of the subject], for the rarer talents do not want to have themselves educated by lecture courses, but train themselves. And with this thankless work the professor loses his precious time.
Letter to Heinrich Olbers (26 Oct 1802). Quoted in G. Waldo Dunnington, Carl Friedrich Gauss: Titan of Science (2004), 414.
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I have accumulated a wealth of knowledge in innumerable spheres and enjoyed it as an always ready instrument for exercising the mind and penetrating further and further. Best of all, mine has been a life of loving and being loved. What a tragedy that all this will disappear with the used-up body!
In and Out of the Ivory Tower (1960), 311.
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I have always tried to fit knowledge that I acquired into my understanding of the world. … When something comes along that I don’t understand, that I can’t fit in, that bothers me, I think about it, mull over it, and perhaps ultimately do some work with it. That’s perhaps the reason that I’ve been able to make discoveries in molecular biology.
From interview with Neil A. Campbell, in 'Crossing the Boundaries of Science', BioScience (Dec 1986), 36, No. 11, 739.
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I have approximate answers and possible beliefs in different degrees of certainty about different things, but I am not absolutely sure of anything, and of many things I don’t know anything about but I don’t have to know an answer.
Interview, in BBC TV program, 'The Pleasure of Finding Things Out', Horizon (23 Nov 1981). As quoted in Caroline Baillie, Alice Pawley, Donna M. Riley, Engineering and Social Justice: In the University and Beyond (2012), 108.
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I have been arranging certain experiments in reference to the notion that Gravity itself may be practically and directly related by experiment to the other powers of matter and this morning proceeded to make them. It was almost with a feeling of awe that I went to work, for if the hope should prove well founded, how great and mighty and sublime in its hitherto unchangeable character is the force I am trying to deal with, and how large may be the new domain of knowledge that may be opened up to the mind of man.
In ‎Thomas Martin (ed.) Faraday’s Diary: Sept. 6, 1847 - Oct. 17, 1851 (1934), 156.
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I have been asked whether I would agree that the tragedy of the scientist is that he is able to bring about great advances in our knowledge, which mankind may then proceed to use for purposes of destruction. My answer is that this is not the tragedy of the scientist; it is the tragedy of mankind.
S. R. Weart and G. W. Sallard (eds.), Leo Szilard: His Version of the Facts (1978), 229.
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I have been so electrically occupied of late that I feel as if hungry for a little chemistry: but then the conviction crosses my mind that these things hang together under one law & that the more haste we make onwards each in his own path the sooner we shall arrive, and meet each other, at that state of knowledge of natural causes from which all varieties of effects may be understood & enjoyed.
Letter to Eilhard Mitscherlich, 24 Jan 1838. In Frank A. J. L. James (ed.), The Correspondence of Michael Faraday (1993), Vol. 2, 488.
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I have come to the conclusion that the exertion, without which a knowledge of mathematics cannot be acquired, is not materially increased by logical rigor in the method of instruction.
In Jahresbericht der Deutschen Mathematiker Vereinigung (1898), 143.
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I have flown twice over Mount St. Helens out on our West Coast. I'm not a scientist and I don't know the figures, but I have a suspicion that that one little mountain has probably released more sulfur dioxide into the atmosphere of the world than has been released in the last ten years of automobile driving or things of that kind that people are so concerned about.
Address in Steubenville, Ohio (7 Oct 1980). As quoted in Douglas E. Kneeland, 'Teamsters Back Republican', New York Times (10 Oct 1980), D14. The article also stated that according to an E.P.A. spokesman, “all American manmade emissions of sulfur dioxide amounted to 81,000 tons a day, and the emissions from the volcano ranged from 500 to 2,000 tons a day.”
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I have indeed lived and worked to my taste either in art or science. What more could a man desire? Knowledge has always been my goal. There is much that I shall leave behind undone…but something at least I was privileged to leave for the world to use, if it so intends…As the Latin poet said I will leave the table of the living like a guest who has eaten his fill. Yes, if I had another life to spend, I certainly would not waste it. But that cannot be, so why complain?
Letter to R. C. Craw, quoted in Tuatara (1984) Vol. 27 (1): 5-7
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I have lived much of my life among molecules. They are good company. I tell my students to try to know molecules, so well that when they have some question involving molecules, they can ask themselves, What would I do if I were that molecule? I tell them, Try to feel like a molecule; and if you work hard, who knows? Some day you may get to feel like a big molecule!
Nobel banquet speech (10 Dec 1967). In Ragnar Granit (ed.), Les Prix Nobel en 1967 (1968).
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I have long held an opinion, almost amounting to conviction, in common I believe with many other lovers of natural knowledge, that the various forms under which the forces of matter are made manifest have one common origin; or, in other words, are so directly related and mutually dependent, that they are convertible, as it were, one into another, and possess equivalents of power in their action.
Paper read to the Royal Institution (20 Nov 1845). 'On the Magnetization of Light and the Illumination of Magnetic Lines of Force', Series 19. In Experimental Researches in Electricity (1855), Vol. 3, 1. Reprinted from Philosophical Transactions (1846), 1.
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I have mentioned mathematics as a way to settle in the mind a habit of reasoning closely and in train; not that I think it necessary that all men should be deep mathematicians, but that, having got the way of reasoning which that study necessarily brings the mind to, they might be able to transfer it to other parts of knowledge, as they shall have occasion. For in all sorts of reasoning, every single argument should be managed as a mathematical demonstration; the connection and dependence of ideas should be followed till the mind is brought to the source on which it bottoms, and observes the coherence all along; …
In The Conduct of the Understanding, Sect. 7.
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I have never done anything “useful.” No discovery of mine has made, or is likely to make, directly or indirectly, for good or ill, the least difference to the amenity of the world... Judged by all practical standards, the value of my mathematical life is nil; and outside mathematics it is trivial anyhow. I have just one chance of escaping a verdict of complete triviality, that I may be judged to have created something worth creating. And that I have created something is undeniable: the question is about its value. [The things I have added to knowledge do not differ from] the creations of the other artists, great or small, who have left some kind of memorial beind them.
Concluding remarks in A Mathmatician's Apology (1940, 2012), 150-151.
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I have never seen the Philosopher's Stone that turns lead into Gold, but I have known the pursuit of it turn a Man's Gold into Lead.
In Poor Richard's Almanack (1738).
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I have no knowledge other than that gained through my own eyes.
In De La Pirotechnia (1540). As translated in Pirotechnia (1959), 70.
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I have often pondered over the roles of knowledge or experience, on the one hand, and imagination or intuition, on the other, in the process of discovery. I believe that there is a certain fundamental conflict between the two, and knowledge, by advocating caution, tends to inhibit the flight of imagination. Therefore, a certain naivete, unburdened by conventional wisdom, can sometimes be a positive asset.
In R. Langlands, 'Harish-Chandra', Biographical Memoirs of Fellows of the Royal Society (1985), Vol. 31, 206.
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I have the same sense of the power and virtue of knowledge that some people get from a religious background.
From interview with Anthony Liversidge, in 'Walter Gilbert', Omni (Nov 1992), 15, No. 2.
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I have tried to read philosophers of all ages and have found many illuminating ideas but no steady progress toward deeper knowledge and understanding. Science, however, gives me the feeling of steady progress: I am convinced that theoretical physics is actual philosophy. It has revolutionized fundamental concepts, e.g., about space and time (relativity), about causality (quantum theory), and about substance and matter (atomistics), and it has taught us new methods of thinking (complementarity) which are applicable far beyond physics.
Max Born
My Life & My Views (1968), 48.
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I intentionally left the question of the origin of life uncanvassed as being altogether ultra vires in the present state of our knowledge.
Letter (28 Mar 1882) to George C. Wallich—which Sir Gavin de Beer thinks was the last letter which Darwin is known to have dictated and signed before his death in 1882. In Gavin De Beer, 'Some Unpublished Letters of Charles Darwin', Notes and Records of the Royal Society (1959), 14, As quoted and cited in Lim Ramon, Self And The Phenomenon Of Life: A Biologist Examines Life From Molecules To Humanity (2017), 12-66.
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I know a good many men of great learning—that is, men born with an extraordinary eagerness and capacity to acquire knowledge. One and all, they tell me that they can't recall learning anything of any value in school. All that schoolmasters managed to accomplish with them was to test and determine the amount of knowledge that they had already acquired independently—and not infrequently the determination was made clumsily and inaccurately.
In Prejudices: third series (1922), 261.
For a longer excerpt, see H. L. Mencken's Recollections of School Algebra.
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I know too much; I have stuffed too many of the facts of History and Science into my intellectuals. My eyes have grown dim over books; believing in geological periods, cave-dwellers, Chinese Dynasties, and the fixed stars has prematurely aged me.
In 'The Burden', Trivia (1917,1921), 156.
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I know with sure and certain knowledge that a man’s work is nothing but this slow trek to rediscover, through the detours of art, those two or three great and simple images in whose presence his heart first opened.
In Lyrical and Critical Essays (1967), 14.
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I maintain that in every special natural doctrine only so much science proper is to be met with as mathematics; for… science proper, especially [science] of nature, requires a pure portion, lying at the foundation of the empirical, and based upon a priori knowledge of natural things. … To the possibility of a determinate natural thing, and therefore to cognise it à priori, is further requisite that the intuition corresponding à priori to the conception should be given; in other words, that the conception should be constructed. But the cognition of the reason through construction of conceptions is mathematical. A pure philosophy of nature in general, namely, one that only investigates what constitutes a nature in general, may thus be possible without mathematics; but a pure doctrine of nature respecting determinate natural things (corporeal doctrine and mental doctrine), is only possible by means of mathematics; and as in every natural doctrine only so much science proper is to be met with therein as there is cognition à priori, a doctrine of nature can only contain so much science proper as there is in it of applied mathematics.
From Preface to The Metaphysical Foundations of Natural Science (1786), as translated by Ernest Belford Boax, in Kant’s Prolegomena: And The Metaphysical Foundations of Natural Science (1883), 140.
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I must not pass by Dr. Young called Phaenomenon Young at Cambridge. A man of universal erudition, & almost universal accomplishments. Had he limited himself to anyone department of knowledge, he must have been first in that department. But as a mathematician, a scholar, a hieroglyphist, he was eminent; & he knew so much that it is difficult to say what he did not know. He was a most amiable & good-tempered man; too fond, perhaps, of the society of persons of rank for a true philosopher.
J. Z. Fullmer, 'Davy's Sketches of his Contemporaries', Chymia (1967), 12, 135.
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I often think that the Romans were fortunate; their civilization reached as far as hot baths without touching the fatal knowledge of machinery.
In Lost Horizon (1933, 1962), 67.
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I owe all my knowledge to the German inventor, Johannes Gutenberg!
From the play Galileo Galilei (2001) .
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I really see no harm which can come of giving our children a little knowledge of physiology. ... The instruction must be real, based upon observation, eked out by good explanatory diagrams and models, and conveyed by a teacher whose own knowledge has been acquired by a study of the facts; and not the mere catechismal parrot-work which too often usurps the place of elementary teaching.
Science and Culture (1882), 92.
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I remember my first look at the great treatise of Maxwell’s when I was a young man… I saw that it was great, greater and greatest, with prodigious possibilities in its power… I was determined to master the book and set to work. I was very ignorant. I had no knowledge of mathematical analysis (having learned only school algebra and trigonometry which I had largely forgotten) and thus my work was laid out for me. It took me several years before I could understand as much as I possibly could. Then I set Maxwell aside and followed my own course. And I progressed much more quickly… It will be understood that I preach the gospel according to my interpretation of Maxwell.
From translations of a letter (24 Feb 1918), cited in Paul J. Nahin, Oliver Heaviside: The Life, Work, and Times of an Electrical Genius of the Victorian Age (2002), 24. Nahin footnotes that the words are not verbatim, but are the result of two translations. Heaviside's original letter in English was quoted, translated in to French by J. Bethenode, for the obituary he wrote, "Oliver Heaviside", in Annales des Posies Telegraphs (1925), 14, 521-538. The quote was retranslated back to English in Nadin's book. Bethenode footnoted that he made the original translation "as literally as possible in order not to change the meaning." Nadin assures that the retranslation was done likewise. Heaviside studyied Maxwell's two-volume Treatise on Electricity and Magnetism.
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I said, that Superstition was the child of Fear, and Fear the child of Ignorance; and you might expect me to say antithetically, that Science was the child of Courage, and Courage the child of Knowledge.
Opening of 'Science', a lecture delivered at the Royal Institution, published in Fraser's Magazine (Jul 1866), 74, 15.
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I shall devote only a few lines to the expression of my belief in the importance of science for mankind…. … [I]t is by…daily striving after knowledge that man has raised himself to the unique position he occupies on earth, and that his power and well-being have continually increased.
In opening paragraph of 'Memorandum by Madame Curie, Member of the Committee, on the Question of International Scolarships for the Advancement of the Sciences and the Development of Laboratories' published by the League of Nations, Committee on Intellectual Co-operation, Geneva (16 Jun 1926)
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I specifically paused to show that, if there were such machines with the organs and shape of a monkey or of some other non-rational animal, we would have no way of discovering that they are not the same as these animals. But if there were machines that resembled our bodies and if they imitated our actions as much as is morally possible, we would always have two very certain means for recognizing that, none the less, they are not genuinely human. The first is that they would never be able to use speech, or other signs composed by themselves, as we do to express our thoughts to others. For one could easily conceive of a machine that is made in such a way that it utters words, and even that it would utter some words in response to physical actions that cause a change in its organs—for example, if someone touched it in a particular place, it would ask what one wishes to say to it, or if it were touched somewhere else, it would cry out that it was being hurt, and so on. But it could not arrange words in different ways to reply to the meaning of everything that is said in its presence, as even the most unintelligent human beings can do. The second means is that, even if they did many things as well as or, possibly, better than anyone of us, they would infallibly fail in others. Thus one would discover that they did not act on the basis of knowledge, but merely as a result of the disposition of their organs. For whereas reason is a universal instrument that can be used in all kinds of situations, these organs need a specific disposition for every particular action.
Discourse on Method in Discourse on Method and Related Writings (1637), trans. Desmond M. Clarke, Penguin edition (1999), Part 5, 40.
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I suddenly realized that no one knew anything. … From that moment I began to think for myself or rather knew that I could.
In Psychological Commentaries on the Teaching of Gurdjieff (1972), 1741.
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I suppose that Dr. [Florence] Sabin is the most eminent of living women scientists. The knowledge she has derived from her studies has led to better understanding of the anatomy, physiology, and pathology of the body in health and in disease, and has been not only of theoretical but of practical value. It is of the nature of conspicuous social service to have added to the knowledge of our bodies, well and ill, and thus to have helped make them better instruments for the fulfilment of the purposes of society as a whole.
In Genevieve Parkhurst, 'Dr. Sabin, Scientist: Winner Of Pictorial Review’s Achievement Award', Pictorial Review (Jan 1930), 2.
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I then bequeath the whole of my property … to the United States of America, to found at Washington, under the name of the Smithsonian Institution, an establishment for the increase and diffusion of knowledge among men.
From the will of James Smithson written on 23 Oct 1826. (The amount excluded a modest lifetime annuity to a former faithful servant.) Smithson willed his estate firstly to his nephew, but it was to be bequeathed to the U.S. in the case his nephew died without heir—which did come to pass in 1835. Smithson included no further instructions concerning the Smithsonian Institution.
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I think chemistry is being frittered away by the hairsplitting of the organic chemists; we have new compounds discovered, which scarcely differ from the known ones and when discovered are valueless—very illustrations perhaps of their refinements in analysis, but very little aiding the progress of true science.
Letter to William Grove (5 Jan 1845), The Letters of Faraday and Schoenbein, 1836-1862 (1899), Footnote, 209.
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I think I may fairly make two postulata. First, That food is necessary to the existence of man. Secondly, That the passion between the sexes is necessary and will remain nearly in its present state. These two laws ever since we have had any knowledge of mankind, appear to have been fixed laws of our nature; and, as we have not hitherto seen any alteration in them, we have no right to conclude that they will ever cease to be what they are now, without an immediate act of power in that Being who first arranged the system of the universe; and for the advantage of his creatures, still executes, according to fixed laws, all its various operations.
First 'Essay on the Principle of Population' (1798), reprinted in Parallel Chapters from the First and Second editions of An Essay on the Principle of Population (1895), 6.
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I think that the event which, more than anything else, led me to the search for ways of making more powerful radio telescopes, was the recognition, in 1952, that the intense source in the constellation of Cygnus was a distant galaxy—1000 million light years away. This discovery showed that some galaxies were capable of producing radio emission about a million times more intense than that from our own Galaxy or the Andromeda nebula, and the mechanisms responsible were quite unknown. ... [T]he possibilities were so exciting even in 1952 that my colleagues and I set about the task of designing instruments capable of extending the observations to weaker and weaker sources, and of exploring their internal structure.
From Nobel Lecture (12 Dec 1974). In Stig Lundqvist (ed.), Nobel Lectures, Physics 1971-1980 (1992), 187.
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I think that the unity we can seek lies really in two things. One is that the knowledge which comes to us at such a terrifyingly, inhumanly rapid rate has some order in it. We are allowed to forget a great deal, as well as to learn. This order is never adequate. The mass of ununderstood things, which cannot be summarized, or wholly ordered, always grows greater; but a great deal does get understood.
The second is simply this: we can have each other to dinner. We ourselves, and with each other by our converse, can create, not an architecture of global scope, but an immense, intricate network of intimacy, illumination, and understanding. Everything cannot be connected with everything in the world we live in. Everything can be connected with anything.
Concluding paragraphs of 'The Growth of Science and the Structure of Culture', Daedalus (Winter 1958), 87, No. 1, 76.
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I think that we shall have to get accustomed to the idea that we must not look upon science as a 'body of knowledge,' but rather as a system of hypotheses; that is to say, as a system of guesses or anticipations which in principle cannot be justified, but with which we work as long as they stand up to tests, and of which we are never justified in saying that we know they are 'true' or 'more or less certain' or even 'probable.'
The Logic of Scientific Discovery (1959), 317.
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I think the next [21st] century will be the century of complexity. We have already discovered the basic laws that govern matter and understand all the normal situations. We don’t know how the laws fit together, and what happens under extreme conditions. But I expect we will find a complete unified theory sometime this century. The is no limit to the complexity that we can build using those basic laws.
[Answer to question: Some say that while the twentieth century was the century of physics, we are now entering the century of biology. What do you think of this?]
'"Unified Theory" Is Getting Closer, Hawking Predicts', interview in San Jose Mercury News (23 Jan 2000), 29A. Answer quoted in Ashok Sengupta, Chaos, Nonlinearity, Complexity: The Dynamical Paradigm of Nature (2006), vii. Question included in Hans-Joachim Schellnhuber, Nicholas Stern and Mario Molina , Global Sustainability: a Nobel Cause (2010), 13. Cite from Brent Davis and Dennis J. Sumara, Complexity and Education: Inquiries Into Learning, Teaching, and Research (2006), 171.
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I thought that the wisdom of our City had certainly designed the laudable practice of taking and distributing these accompts [parish records of christenings and deaths] for other and greater uses than [merely casual comments], or, at least, that some other uses might be made of them; and thereupon I ... could, and (to be short) to furnish myself with as much matter of that kind ... the which when I had reduced into tables ... so as to have a view of the whole together, in order to the more ready comparing of one Year, Season, Parish, or other Division of the City, with another, in respect of all Burials and Christnings, and of all the Diseases and Casualties happening in each of them respectively...
Moreover, finding some Truths and not-commonly-believed opinions to arise from my meditations upon these neglected Papers, I proceeded further to consider what benefit the knowledge of the same would bring to the world, ... with some real fruit from those ayrie blossoms.
From Natural and Political Observations Mentioned in a Following Index and Made upon Bills of Mortality (1662), Preface. Reproduced in Cornelius Walford, The Insurance Cyclopaedia (1871), Vol. 1, 286-287.
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I trust and believe that the time spent in this voyage … will produce its full worth in Natural History; and it appears to me the doing what little we can to increase the general stock of knowledge is as respectable an object of life, as one can in any likelihood pursue.
In Charles Darwin and Francis Darwin (ed.), The Life and Letters of Charles Darwin (1888), 245.
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I uphold my own rights, and therefore I also recognize the rights of others. This is the principle I act upon in life, in politics and in science. We owe it to ourselves to defend our rights, for it is the only guarantee for our individual development, and for our influence upon the community at large. Such a defence is no act of vain ambition, and it involves no renunciation of purely scientific aims. For, if we would serve science, we must extend her limits, not only as far as our own knowledge is concerned, but in the estimation of others.
Cellular Pathology, translated by Frank Chance (1860), x.
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I venture to maintain, that, if the general culture obtained in the Faculty of Arts were what it ought to be, the student would have quite as much knowledge of the fundamental principles of Physics, of Chemistry, and of Biology, as he needs, before he commenced his special medical studies. Moreover, I would urge, that a thorough study of Human Physiology is, in itself, an education broader and more comprehensive than much that passes under that name. There is no side of the intellect which it does not call into play, no region of human knowledge into which either its roots, or its branches, do not extend; like the Atlantic between the Old and the New Worlds, its waves wash the shores of the two worlds of matter and of mind; its tributary streams flow from both; through its waters, as yet unfurrowed by the keel of any Columbus, lies the road, if such there be, from the one to the other; far away from that Northwest Passage of mere speculation, in which so many brave souls have been hopelessly frozen up.
'Universities: Actual and Ideal' (1874). In Collected Essays (1893), Vol. 3, 220.
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I want to see a generation of psychologists who can stand alongside the best of all the other scientists, not making any pretence to having discovered the master key to all knowledge.
From archive recording (3 Jun 1959) with to John C. Kenna, giving his recollection of his farewell speech to Cambridge Psychological Society (4 Mar 1952), in which he gave a summary of points he considered to be basic requirements for a good experimental psychologist. From transcription of recording held at British Psychological Society History of Psychology Centre, London, as abridged on thepsychologist.bps.org.uk website.
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I wanted certainty in the kind of way in which people want religious faith. I thought that certainty is more likely to be found in mathematics than elsewhere. But I discovered that many mathematical demonstrations, which my teachers expected me to accept, were full of fallacies, and that, if certainty were indeed discoverable in mathematics, it would be in a new field of mathematics, with more solid foundations than those that had hitherto been thought secure. But as the work proceeded, I was continually reminded of the fable about the elephant and the tortoise. Having constructed an elephant upon which the mathematical world could rest, I found the elephant tottering, and proceeded to construct a tortoise to keep the elephant from falling. But the tortoise was no more secure than the elephant, and after some twenty years of very arduous toil, I came to the conclusion that there was nothing more that I could do in the way of making mathematical knowledge indubitable.
In 'Reflections on my Eightieth Birthday', Portraits from Memory (1956), 54.
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I was in a Printing-house in Hell, and saw the method in which knowledge is transmitted from generation to generation.
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I was unable to devote myself to the learning of this al-jabr [algebra] and the continued concentration upon it, because of obstacles in the vagaries of Time which hindered me; for we have been deprived of all the people of knowledge save for a group, small in number, with many troubles, whose concern in life is to snatch the opportunity, when Time is asleep, to devote themselves meanwhile to the investigation and perfection of a science; for the majority of people who imitate philosophers confuse the true with the false, and they do nothing but deceive and pretend knowledge, and they do not use what they know of the sciences except for base and material purposes; and if they see a certain person seeking for the right and preferring the truth, doing his best to refute the false and untrue and leaving aside hypocrisy and deceit, they make a fool of him and mock him.
A. P. Youschkevitch and B. A. Rosenfeld, 'Al-Khayyami', in C. C. Gillispie (ed.), Dictionary of Scientific Biography (1973), Vol. 7, 324.
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I will frankly tell you that my experience in prolonged scientific investigations convinces me that a belief in God—a God who is behind and within the chaos of vanishing points of human knowledge—adds a wonderful stimulus to the man who attempts to penetrate into the regions of the unknown.
As quoted in E.P. Whipple, 'Recollections of Agassiz', in Henry Mills Alden (ed.), Harper's New Monthly Magazine (June 1879), 59, 103.
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If [science] tends to thicken the crust of ice on which, as it were, we are skating, it is all right. If it tries to find, or professes to have found, the solid ground at the bottom of the water it is all wrong. Our business is with the thickening of this crust by extending our knowledge downward from above, as ice gets thicker while the frost lasts; we should not try to freeze upwards from the bottom.
Samuel Bulter, Henry Festing Jones (ed.), The Note-Books of Samuel Butler (1917), 329.
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If a man empties his purse into his head, no man can take it away from him. An investment in knowledge always pays the best interest.
…...
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If a man will begin with certainties, he shall end in doubts; but if he will be content to begin with doubts, he shall end in certainties.
The Advancement of Learning (1605) in James Spedding, Robert Ellis and Douglas Heath (eds.), The Works of Francis Bacon (1887-1901), Vol. 3, 293.
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If all the individual facts, all the individual phenomena, were directly accessible to us, as we ask for the knowledge of them; no science would ever have arisen.
English translation by Webmaster from the original German, “Wenn uns alle einzelnen Thatsachen, alle einzelnen Erscheinungen unmittelbar zugänglich wären, so wie wir nach der Kenntniss derselben verlangen; so wäre nie eine Wissenschaft entstanden.” In Die Geschichte und die Wurzel des Satzes von der Erhaltung der Arbeit (1872), 30-31. Also found translated as “If all single facts, all separate phenomena, were as directly accessible to us as we demand that knowledge of them to be; science would never have arisen,” in Ernst Cassirer, The Problem of Knowledge: Philosophy, Science, and History since Hegel (1950), 108. Citing from
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If any archaeologist is to pass the bounds of his science into the domain of speculative history we had rather it were Sir Arthur Evans than another. He does it with an infectious enthusiasm, and his immense comparative knowledge tells us so many things by the way.
In Times Literary Supplement (29 Dec 1921), 869, as cited in J.A. Macgillivray, Minotaur: Sir Arthur Evans and the Archaeology of the Minoan Myth (2000), 271.
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If I go out into nature, into the unknown, to the fringes of knowledge, everything seems mixed up and contradictory, illogical, and incoherent. This is what research does; it smooths out contradictions and makes things simple, logical, and coherent.
In 'Dionysians and Apollonians', Science (2 Jun 1972), 176, 966. Reprinted in Mary Ritchie Key, The Relationship of Verbal and Nonverbal Communication (1980), 318.
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If I have put the case of science at all correctly, the reader will have recognised that modern science does much more than demand that it shall be left in undisturbed possession of what the theologian and metaphysician please to term its “legitimate field.” It claims that the whole range of phenomena, mental as well as physical—the entire universe—is its field. It asserts that the scientific method is the sole gateway to the whole region of knowledge.
From The Grammar of Science (1892), 29-30.
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If I knew something about it, I wouldn’t lecture on it!
As quoted in David C. Cassidy, Beyond Uncertainty: Heisenberg, Quantum Physics, and the Bomb (2009), 86. According to Cassidy, this was the response when Sommerfeld was “once asked how he could lecture on a subject he did not understand.” Footnoted as “WH [Werner Heisenberg] to his father, 15 May 1918.”
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If I were summing up the qualities of a good teacher of medicine, I would enumerate human sympathy, moral and intellectual integrity, enthusiasm, and ability to talk, in addition, of course, to knowledge of his subject.
Anonymous
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If ignorance of nature gave birth to the Gods, knowledge of nature is destined to destroy them.
Systéme de la Nature (1770), Part 2, Chapter 1.
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If in some madhouse there is a lunatic who still believes the old churchly tenet that heaven is up above, even this [the first manned landing on the moon] probably will not disabuse him. Surely those of us still sane enough to be at large realize that this event will have no more to so with theology, God, or self-knowledge than any flower we pluck or any hand we press—in fact, much less.
(13 Jul 1969). As given in Alan F. and Jason R. Pater (eds.), What They Said in 1969: The Yearbook of Spoken Opinion (1970), 402.
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If it were always necessary to reduce everything to intuitive knowledge, demonstration would often be insufferably prolix. This is why mathematicians have had the cleverness to divide the difficulties and to demonstrate separately the intervening propositions. And there is art also in this; for as the mediate truths (which are called lemmas, since they appear to be a digression) may be assigned in many ways, it is well, in order to aid the understanding and memory, to choose of them those which greatly shorten the process, and appear memorable and worthy in themselves of being demonstrated. But there is another obstacle, viz.: that it is not easy to demonstrate all the axioms, and to reduce demonstrations wholly to intuitive knowledge. And if we had chosen to wait for that, perhaps we should not yet have the science of geometry.
In Gottfried Wilhelm Leibnitz and Alfred Gideon Langley (trans.), New Essays Concerning Human Understanding (1896), 413-414.
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If knowledge is my God, doubt would be my religion.
Quotations: Superultramodern Science and Philosophy (2005), 3
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If Louis Pasteur were to come out of his grave because he heard that the cure for cancer still had not been found, NIH would tell him, “Of course we'll give you assistance. Now write up exactly what you will be doing during the three years of your grant.” Pasteur would say, “Thank you very much,” and would go back to his grave. Why? Because research means going into the unknown. If you know what you are going to do in science, then you are stupid! This is like telling Michelangelo or Renoir that he must tell you in advance how many reds and how many blues he will buy, and exactly how he will put those colors together.
Interview for Saturday Evening Post (Jan/Feb 1981), 30.
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If man were by nature a solitary animal, the passions of the soul by which he was conformed to things so as to have knowledge of them would be sufficient for him; but since he is by nature a political and social animal it was necessary that his conceptions be made known to others. This he does through vocal sound. Therefore there had to be significant vocal sounds in order that men might live together. Whence those who speak different languages find it difficult to live together in social unity.
As quoted in Jeffrey J. Maciejewski, Thomas Aquinas on Persuasion: Action, Ends, and Natural Rhetoric (2013), 36.
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If one might wish for impossibilities, I might then wish that my children might be well versed in physical science, but in due subordination to the fulness and freshness of their knowledge on moral subjects. ... Rather than have it the principal thing in my son's mind, I would gladly have him think that the sun went round the earth, and that the stars were so many spangles set in the bright blue firmament.
Letter to Dr. Greenhill (9 May 1836). In Arthur Penrhyn Stanley, The Life and Correspondence of Thomas Arnold (2nd Ed., 1846), 277.
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If one of these people, in whom the chance-worship of our remoter ancestors thus strangely survives, should be within reach of the sea when a heavy gale is blowing, let him betake himself to the shore and watch the scene. Let him note the infinite variety of form and size of the tossing waves out at sea; or against the curves of their foam-crested breakers, as they dash against the rocks; let him listen to the roar and scream of the shingle as it is cast up and torn down the beach; or look at the flakes of foam as they drive hither and thither before the wind: or note the play of colours, which answers a gleam of sunshine as it falls upon their myriad bubbles. Surely here, if anywhere, he will say that chance is supreme, and bend the knee as one who has entered the very penetralia of his divinity. But the man of science knows that here, as everywhere, perfect order is manifested; that there is not a curve of the waves, not a note in the howling chorus, not a rainbow-glint on a bubble, which is other than a necessary consequence of the ascertained laws of nature; and that with a sufficient knowledge of the conditions, competent physico-mathematical skill could account for, and indeed predict, every one of these 'chance' events.
In 'On the Reception of the Origin of Species'. In Francis Darwin (ed.), The Life and Letters of Charles Darwin, Including an Autobiographical Chapter (1888), Vol. 2, 200-1.
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If physicists could not quote in the text, they would not feel that much was lost with respect to advancement of knowledge of the natural world. If historians could not quote, they would deem it a disastrous impediment to the communication of knowledge about the past. A luxury for physicists, quotation is a necessity for historians, indispensable to historiography.
Historiography (1968), 385.
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If popular medicine gave the people wisdom as well as knowledge, it would be the best protection for scientific and well-trained physicians.
In Fielding Hudson Garrison, An Introduction to the History of Medicine (1966), 577.
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If Russia is to be a great power, it will be, not because of its nuclear potential, faith in God or the president, or Western investment, but thanks to the labor of the nation, faith in knowledge and science and the maintenance and development of scientific potential and education.
Quoted in Darryl J. Leiter, Sharon Leiter, A to Z of physicists (2003), 3.
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If the God of revelation is most appropriately worshipped in the temple of religion, the God of nature may be equally honored in the temple of science. Even from its lofty minarets the philosopher may summon the faithful to prayer, and the priest and sage exchange altars without the compromise of faith or knowledge.
In Tryon Edwards (ed.), A Dictionary of Thoughts: Being a Cyclopedia of Laconic Quotations from the Best Authors of the World, Both Ancient and Modern (1891), 507.
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If the human race ever stops acting on the basis of what it thinks it knows, paralyzed by fear that its knowledge may be wrong, then Homo sapiens will be making its application for membership in the dinosaur club.
To Plant a Seed (1972). In Gary Westfahl, Science Fiction Quotations: From the Inner Mind to the Outer Limits (2006), 2.
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If the question were, “What ought to be the next objective in science?” my answer would be the teaching of science to the young, so that when the whole population grew up there would be a far more general background of common sense, based on a knowledge of the real meaning of the scientific method of discovering truth.
Marion Savin Selections from the Scientific Correspondence of Elihu Thomson (1971), v.
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If the scientist has during the whole of his life observed carefully, trained himself to be on the look out for analogy, and possessed himself of relevant knowledge, then the ‘instrument of feeling’ … will become a powerful divining rod … in creative science feeling plays a leading part.
In An Anatomy of Inspiration: And An Essay on the Creative Mood (1948), 96.
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If the term education may be understood in so large a sense as to include all that belongs to the improvement of the mind, either by the acquisition of the knowledge of others or by increase of it through its own exertions, we learn by them what is the kind of education science offers to man. It teaches us to be neglectful of nothing — not to despise the small beginnings, for they precede of necessity all great things in the knowledge of science, either pure or applied.
'Science as a Branch of Education', lecture to the Royal Institution, 11 Jun 1858. Reprinted in The Mechanics Magazine (1858), 49, 11.
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If there be an order in which the human race has mastered its various kinds of knowledge, there will arise in every child an aptitude to acquire these kinds of knowledge in the same order. So that even were the order intrinsically indifferent, it would facilitate education to lead the individual mind through the steps traversed by the general mind. But the order is not intrinsically indifferent; and hence the fundamental reason why education should be a repetition of civilization in little.
Education: Intellectual, Moral and Physical (1861), 76.
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If there were some solitary or feral man, the passions of the soul would be sufficient for him; by them he would be conformed to things in order that he might have knowledge of them. But because man is naturally political and social, there is need for one man to make his conceptions known to others, which is done with speech. So significant speech was needed if men were to live together. Which is why those of different tongues do not easily live together.
Sententia super libri Perihermeneias (Commentary on Aristotle’s On Interpretation) [1270-1271], Book I, lesson 2, number 2, trans. R. McInerny, quoted in R. McInerny (ed.) Thomas Aquinas, Selected Writings (1998), 460.
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If thou hast knowledge, let others light their candle at thine.
In Introductio ad Prudentiam: or, Directions, Counsels, and Cautions, Tending to Prudent Management of Affairs in Common Life (1727), Part II, 2, Moral No. 1784. Often seen incorrectly attributed to Sarah Margaret Fuller or Winston Churchill, slightly reworded, for example, as “If you have knowledge, let others light their candles with it.”
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If we are to define science, ... it does not consist so much in knowing, nor even in “organized knowledge,” as it does in diligent inquiry into truth for truth’s sake, without any sort of axe to grind, nor for the sake of the delight of contemplating it, but from an impulse to penetrate into the reason of things.
From 'Lessons from the History of Science: The Scientific Attitude' (c.1896), in Collected Papers (1931), Vol. 1, 19.
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If we assist the highest forms of education–in whatever field–we secure the widest influence in enlarging the boundaries of human knowledge.
In 'Some Random Reminiscences of Men and Events', collected in The World’s Work (1909), Vol. 17, 11104.
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If we can combine our knowledge of science with the wisdom of wildness, if we can nurture civilization through roots in the primitive, man’s potentialities appear to be unbounded, Through this evolving awareness, and his awareness of that awareness, he can emerge with the miraculous—to which we can attach what better name than “God”? And in this merging, as long sensed by intuition but still only vaguely perceived by rationality, experience may travel without need for accompanying life.
A Letter From Lindbergh', Life (4 Jul 1969), 61. In Eugene C. Gerhart, Quote it Completely! (1998), 409.
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If we consider that part of the theory of relativity which may nowadays in a sense be regarded as bone fide scientific knowledge, we note two aspects which have a major bearing on this theory. The whole development of the theory turns on the question of whether there are physically preferred states of motion in Nature (physical relativity problem). Also, concepts and distinctions are only admissible to the extent that observable facts can be assigned to them without ambiguity (stipulation that concepts and distinctions should have meaning). This postulate, pertaining to epistemology, proves to be of fundamental importance.
'Fundamental ideas and problems of the theory of relativity', Lecture delivered to the Nordic Assembly of Naturalists at Gothenburg, 11 Jul 1923. In Nobel Physics 1901-1921 (1998), 482.
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If we define 'thought collective' as a community of persons mutually exchanging ideas or maintaining intellectual interaction, we will find by implication that it also provides the special 'carrier' for the historical development of any field of thought, as well as for the given stock of knowledge and level of culture. This we have designated thought style.
Genesis and the Development of a Scientific Fact (1935), 39.
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If we had a complete knowledge of all events in the world, everywhere and at all times, there would be no use for the laws of physics, or, in fact, of any other science. … They might give us a certain pleasure and perhaps amazement to contemplate, even though they would not furnish new information.
In Symmetries and Reflections: Scientific Essays of Eugene P. Wigner (1979), 17.
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If we had a thorough knowledge of all the parts of the seed of any animal (e.g., man), we could from that alone, by reasons entirely mathematical and certain, deduce the whole conformation and figure of each of its members, and, conversely, if we knew several peculiarities of this conformation, we would from those deduce the nature of its seed.
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If we knew what we were doing, it wouldn’t be research.
Anonymous
Seen in various publications attributed—but without citation—to Albert Einstein. Also seen attributed to J.C. Stamos. Webmaster is doubtful, and is placing it under Anonymous. But, if you know the primary print source, perhaps in different wording, please contact the Webmaster.
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If we range through the whole territory of nature, and endeavour to extract from each department the rich stores of knowledge and pleasure they respectively contain, we shall not find a more refined or purer source of amusement, or a more interesting and unfailing subject for recreation, than that which the observation and examination of the structure, affinities, and habits of plants and vegetables, afford.
In A Practical Treatise on the Cultivation of the Dahlia (1838), 2.
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If we take a survey of our own world … our portion in the immense system of creation, we find every part of it, the earth, the waters, and the air that surround it, filled, and as it were crouded with life, down from the largest animals that we know of to the smallest insects the naked eye can behold, and from thence to others still smaller, and totally invisible without the assistance of the microscope. Every tree, every plant, every leaf, serves not only as an habitation, but as a world to some numerous race, till animal existence becomes so exceedingly refined, that the effluvia of a blade of grass would be food for thousands.
In The Age of Reason: Being an Investigation of True and Fabulous Theology (27 Jan O.S. 1794), 60. The word “crouded” is as it appears in the original.
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If you haven’t measured something, you really don’t know very much about it.
Attributed. As quoted in Arthur R. Upgren, Weather: How It Works and Why It Matters (2008), 7.
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If you want to understand human beings, there are plenty of people to go to besides psychologists.... Most of these people are incapable of communicating their knowledge, but those who can communicate it are novelists. They are good novelists precisely because they are good psychologists.
In Science is a Sacred Cow (1950), 128.
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If you wish to go out into the world about which you hear so much…, you must provide yourself with another pair of eyes; the eyes of reading and writing. There is so much wonderful knowledge and learning in the world which you cannot get unless you can read and write.
In his words, what he recalls his mother telling him as a boy, in From Immigrant to Inventor: An Example to Young Americans (1922, 1934), 12.
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If, in the course of a thousand or two thousand years, science arrives at the necessity of renewing its points of view, that will not mean that science is a liar. Science cannot lie, for it’s always striving, according to the momentary state of knowledge, to deduce what is true. When it makes a mistake, it does so in good faith. It’s Christianity that’s the liar. It’s in perpetual conflict with itself.
In Adolf Hitler, Hugh Redwald Trevor-Roper, translated by Norman Cameron and R. H. Stevens, '14 October 1941', Secret Conversations (1941 - 1944) (1953), 51
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If, then, the motion of every particle of matter in the universe were precisely reversed at any instant, the course of nature would be simply reversed for ever after. The bursting bubble of foam at the foot of a waterfall would reunite and descend into the water; the thermal motions would reconcentrate their energy, and throw the mass up the fall in drops re-forming into a close column of ascending water. Heat which had been generated by the friction of solids and dissipated by conduction, and radiation, and radiation with absorption, would come again to the place of contact, and throw the moving body back against the force to which it had previously yielded. Boulders would recover from the mud materials required to rebuild them into their previous jagged forms, and would become reunited to the mountain peak from which they had formerly broken away. And if also the materialistic hypothesis of life were true, living creatures would grow backwards, with conscious knowledge of the future but no memory of the past, and would become again unborn.
In 'The Kinetic Theory of the Dissipation of Energy', Nature (1874), 9, 442.
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Ignorance more frequently begets confidence than does knowledge: it is those who know little, and not those who know much, who so positively assert that this or that problem will never be solved by science.
The Descent of Man (1871), Vol. 1, 3.
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Improvements in industry can be left to chance in the hope that someone, sometime, will think of something useful. that some good invention will show up. The other way is to organize so that new knowledge shall always be coming from the researches in the fundamental sciences and engineering arts on which business is based. From that steady stream will arise inventions and new methods. This is the way of Bell Laboratories.
From a Bell Telephone System advertisement, 'The Search That Never Ends', placed, for example, in Life Magazine (17 Jan 1944), 33.
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In 1768, some peasants, near Luce in France, heard a thunderclap and saw a large stone fall from the sky. Reports of this strange phenomenon reached the French Academy of Sciences. The Academy asked Lavoisier, the premier chemist, to investigate. Lavoisier knew that stones do not fall out of the sky; so, in his knowledgeable arrogance, he reported that the witnesses were either lying or mistaken. The academy did not accept the fact of meteorites until the following century.
In 'Forum: A Case of Spontaneous Human Combustion', New Scientist (15 May 1986), 70.
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In 1892 one of us was able within the compass of a short article in a medical journal to give a résumé of our knowledge of the Trypanosomes. To-day it requires a whole volume to relate all that is known about these hæmatozoa and the diseases to which they give rise.
Opening lines from Introduction to Alphonse Laveran and Felix Etienne Pierre Mesnil Trypanosomes and Trypanosomiasis (1904), v. English edition translated and much enlarged by David Nabarro, (1907), xv. The article was footnoted as A. Laveran, Arch. Méd. Expérim. (1 Mar 1892).
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In all disciplines in which there is systematic knowledge of things with principles, causes, or elements, it arises from a grasp of those: we think we have knowledge of a thing when we have found its primary causes and principles, and followed it back to its elements. Clearly, then, systematic knowledge of nature must start with an attempt to settle questions about principles.
Aristotle
In Physics Book 1, Chap 1, as translated in J.L. Ackrill, A New Aristotle Reader (1988), 81.
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In all speculations on the origin, or agents that have produced the changes on this globe, it is probable that we ought to keep within the boundaries of the probable effects resulting from the regular operations of the great laws of nature which our experience and observation have brought within the sphere of our knowledge. When we overleap those limits, and suppose a total change in nature's laws, we embark on the sea of uncertainty, where one conjecture is perhaps as probable as another; for none of them can have any support, or derive any authority from the practical facts wherewith our experience has brought us acquainted.
Observations on the Geology of the United States of America (1817), iv-v.
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In all things, therefore, where we have clear evidence from our ideas, and those principles of knowledge I have above mentioned, reason is the proper judge; and revelation, though it may, in consenting with it, confirm its dictates, yet cannot in such cases invalidate its decrees: nor can we be obliged, where we have the clear and evident sentience of reason, to quit it for the contrary opinion, under a pretence that it is matter of faith: which can have no authority against the plain and clear dictates of reason.
in Essay Concerning Human Understanding (1690), book 4, ch. 18, sec. 20.
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In an examination those who do not wish to know ask questions of those who cannot tell.
'Some Thoughts on Examinations', inLaughter from a Cloud (1923), 120.
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In an objective system … any mingling of knowledge with values is unlawful, forbidden. But [the] … “first commandment” which ensures the foundation of objective knowledge, is not itself objective. It cannot be objective: it is an ethical guideline, a rule for conduct. True knowledge is ignorant of values, but it cannot be grounded elsewhere than upon a value judgment…
In Chance and Necessity (1970), 176.
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In both social and natural sciences, the body of positive knowledge grows by the failure of a tentative hypothesis to predict phenomena the hypothesis professes to explain; by the patching up of that hypothesis until someone suggests a new hypothesis that more elegantly or simply embodies the troublesome phenomena, and so on ad infinitum. In both, experiment is sometimes possible, sometimes not (witness meteorology). In both, no experiment is ever completely controlled, and experience often offers evidence that is the equivalent of controlled experiment. In both, there is no way to have a self-contained closed system or to avoid interaction between the observer and the observed. The Gödel theorem in mathematics, the Heisenberg uncertainty principle in physics, the self-fulfilling or self-defeating prophecy in the social sciences all exemplify these limitations.
Inflation and Unemployment (1976), 348.
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In completing one discovery we never fail to get an imperfect knowledge of others.
Experiments and Observations on Different Kinds of Air (1774), vii.
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In consequence of Darwin's reformed Theory of Descent, we are now in a position to establish scientifically the groundwork of a non-miraculous history of the development of the human race. ... If any person feels the necessity of conceiving the coming into existence of this matter as the work of a supernatural creative power, of the creative force of something outside of matter, we have nothing to say against it. But we must remark, that thereby not even the smallest advantage is gained for a scientific knowledge of nature. Such a conception of an immaterial force, which as the first creates matter, is an article of faith which has nothing whatever to do with human science.
In Ernst Haeckel and E. Ray Lankester (trans.), The History of Creation (1880), Vol. 1, 6-9.
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In early times, when the knowledge of nature was small, little attempt was made to divide science into parts, and men of science did not specialize. Aristotle was a master of all science known in his day, and wrote indifferently treatises on physics or animals. As increasing knowledge made it impossible for any one man to grasp all scientific subjects, lines of division were drawn for convenience of study and of teaching. Besides the broad distinction into physical and biological science, minute subdivisions arose, and, at a certain stage of development, much attention was, given to methods of classification, and much emphasis laid on the results, which were thought to have a significance beyond that of the mere convenience of mankind.
But we have reached the stage when the different streams of knowledge, followed by the different sciences, are coalescing, and the artificial barriers raised by calling those sciences by different names are breaking down. Geology uses the methods and data of physics, chemistry and biology; no one can say whether the science of radioactivity is to be classed as chemistry or physics, or whether sociology is properly grouped with biology or economics. Indeed, it is often just where this coalescence of two subjects occurs, when some connecting channel between them is opened suddenly, that the most striking advances in knowledge take place. The accumulated experience of one department of science, and the special methods which have been developed to deal with its problems, become suddenly available in the domain of another department, and many questions insoluble before may find answers in the new light cast upon them. Such considerations show us that science is in reality one, though we may agree to look on it now from one side and now from another as we approach it from the standpoint of physics, physiology or psychology.
In article 'Science', Encyclopedia Britannica (1911), 402.
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In every case the awakening touch has been the mathematical spirit, the attempt to count, to measure, or to calculate. What to the poet or the seer may appear to be the very death of all his poetry and all his visions—the cold touch of the calculating mind,—this has proved to be the spell by which knowledge has been born, by which new sciences have been created, and hundreds of definite problems put before the minds and into the hands of diligent students. It is the geometrical figure, the dry algebraical formula, which transforms the vague reasoning of the philosopher into a tangible and manageable conception; which represents, though it does not fully describe, which corresponds to, though it does not explain, the things and processes of nature: this clothes the fruitful, but otherwise indefinite, ideas in such a form that the strict logical methods of thought can be applied, that the human mind can in its inner chamber evolve a train of reasoning the result of which corresponds to the phenomena of the outer world.
In A History of European Thought in the Nineteenth Century (1896), Vol. 1, 314.
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In formal logic a contradiction is the signal of a defeat, but in the evolution of real knowledge it marks the first step in progress toward a victory. This is one great reason for the utmost toleration of variety of opinion. Once and forever, this duty of toleration has been summed up in the words, “Let both grow together until the harvest.”
In 'Religion and Science', The Atlantic (Aug 1925).
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In France, where an attempt has been made to deprive me of the originality of these discoveries, experiments without number and without mercy have been made on living animals; not under the direction of anatomical knowledge, or the guidance of just induction, but conducted with cruelty and indifference, in hope to catch at some of the accidental facts of a system, which, is evident, the experimenters did not fully comprehend.
An Exposition of the Natural System of the Nerves of the Human Body (1824), 2-3.
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In fulfilling the wants of the public, a manufacturer should keep as far ahead as his imagination and his knowledge of his buying public will let him. One should never wait to see what it is a customer is going to want. Give him, rather, what he needs, before he has sensed that need himself.
As quoted by H.M. Davidson, in System: The Magazine of Business (Apr 1922), 41, 413.
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In gaining knowledge you must accustom yourself to the strictest sequence. You must be familiar with the very groundwork of science before you try to climb the heights. Never start on the “next” before you have mastered the “previous.”
Translation of a note, 'Bequest of Pavlov to the Academic Youth of his Country', written a few days before his death for a student magazine, The Generation of the Victors. As published in 'Pavlov and the Spirit of Science', Nature (4 Apr 1936), 137, 572.
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In general, art has preceded science. Men have executed great, and curious, and beautiful works before they had a scientific insight into the principles on which the success of their labours was founded. There were good artificers in brass and iron before the principles of the chemistry of metals were known; there was wine among men before there was a philosophy of vinous fermentation; there were mighty masses raised into the air, cyclopean walls and cromlechs, obelisks and pyramids—probably gigantic Doric pillars and entablatures—before there was a theory of the mechanical powers. … Art was the mother of Science.
Lecture (26 Nov 1851), to the London Society of Arts, 'The General Bearing of the Great Exhibition on the Progress of Art and Science', collected in Lectures on the Results of the Great Exhibition of 1851' (1852), 7-8.
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In its earliest development knowledge is self-sown. Impressions force themselves upon men’s senses whether they will or not, and often against their will. The amount of interest in which these impressions awaken is determined by the coarser pains and pleasures which they carry in their train or by mere curiosity; and reason deals with the materials supplied to it as far as that interest carries it, and no further. Such common knowledge is rather brought than sought; and such ratiocination is little more than the working of a blind intellectual instinct. It is only when the mind passes beyond this condition that it begins to evolve science. When simple curiosity passes into the love of knowledge as such, and the gratification of the æsthetic sense of the beauty of completeness and accuracy seems more desirable that the easy indolence of ignorance; when the finding out of the causes of things becomes a source of joy, and he is accounted happy who is successful in the search, common knowledge passes into what our forefathers called natural history, whence there is but a step to that which used to be termed natural philosophy, and now passes by the name of physical science.
In this final state of knowledge the phenomena of nature are regarded as one continuous series of causes and effects; and the ultimate object of science is to trace out that series, from the term which is nearest to us, to that which is at the farthest limit accessible to our means of investigation.
The course of nature as it is, as it has been, and as it will be, is the object of scientific inquiry; whatever lies beyond, above, or below this is outside science. But the philosopher need not despair at the limitation on his field of labor; in relation to the human mind Nature is boundless; and, though nowhere inaccessible, she is everywhere unfathomable.
The Crayfish: an Introduction to the Study of Zoölogy (1880), 2-3. Excerpted in Popular Science (Apr 1880), 16, 789-790.
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In its efforts to learn as much as possible about nature, modern physics has found that certain things can never be “known” with certainty. Much of our knowledge must always remain uncertain. The most we can know is in terms of probabilities.
In The Feynman Lectures on Physics (1963), Vol. 1.
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In knowledge that man only is to be condemned and despised who is not in a state of transition.
As quoted, without citation in Lecture, 'The Study of History' (11 Jun 1895) delivered at Cambridge, published as Lord Acton, A Lecture on The Study of History (1895), 54.
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In less than eight years “The Origin of Species” has produced conviction in the minds of a majority of the most eminent living men of science. New facts, new problems, new difficulties as they arise are accepted, solved, or removed by this theory; and its principles are illustrated by the progress and conclusions of every well established branch of human knowledge.
From a review of four books on the subject 'Mimicry, and Other Protective Resemblances Among Animals', in The Westminster Review (Jul 1867), 88, 1. Wallace is identified as the author in the article as reprinted in William Beebe, The Book of Naturalists: An Anthology of the Best Natural History (1988), 108.
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In light of new knowledge ... an eventual world state is not just desirable in the name of brotherhood, it is necessary for survival ... Today we must abandon competition and secure cooperation. This must be the central fact in all our considerations of international affairs; otherwise we face certain disaster. Past thinking and methods did not prevent world wars. Future thinking must prevent wars.
…...
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In mathematics, … and in natural philosophy since mathematics was applied to it, we see the noblest instance of the force of the human mind, and of the sublime heights to which it may rise by cultivation. An acquaintance with such sciences naturally leads us to think well of our faculties, and to indulge sanguine expectations concerning the improvement of other parts of knowledge. To this I may add, that, as mathematical and physical truths are perfectly uninteresting in their consequences, the understanding readily yields its assent to the evidence which is presented to it; and in this way may be expected to acquire the habit of trusting to its own conclusions, which will contribute to fortify it against the weaknesses of scepticism, in the more interesting inquiries after moral truth in which it may afterwards engage.
In Elements of the Philosophy of the Human Mind (1827), Vol. 3, Chap. 1, Sec. 3, 182.
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In my opinion instruction is very purposeless for such individuals who do no want merely to collect a mass of knowledge, but are mainly interested in exercising (training) their own powers. One doesn't need to grasp such a one by the hand and lead him to the goal, but only from time to time give him suggestions, in order that he may reach it himself in the shortest way.
Letter to Heinrich Schumacher (2 Oct 1808). Quoted in G. Waldo Dunnington, Carl Friedrich Gauss: Titan of Science (2004), 416.
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In my own view, some advice about what should be known, about what technical education should be acquired, about the intense motivation needed to succeed, and about the carelessness and inclination toward bias that must be avoided is far more useful than all the rules and warnings of theoretical logic.
From Reglas y Consejos sobre Investigacíon Cientifica: Los tónicos de la voluntad. (1897), as translated by Neely and Larry W. Swanson, in Advice for a Young Investigator (1999), 6.
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In no subject is there a rule, compliance with which will lead to new knowledge or better understanding. Skilful observations, ingenious ideas, cunning tricks, daring suggestions, laborious calculations, all these may be required to advance a subject. Occasionally the conventional approach in a subject has to be studiously followed; on other occasions it has to be ruthlessly disregarded. Which of these methods, or in what order they should be employed is generally unpredictable. Analogies drawn from the history of science are frequently claimed to be a guide; but, as with forecasting the next game of roulette, the existence of the best analogy to the present is no guide whatever to the future. The most valuable lesson to be learnt from the history of scientific progress is how misleading and strangling such analogies have been, and how success has come to those who ignored them.
'Cosmology', in Arthur Beer (ed.), Vistas in Astronomy (1956), Vol. 2, 1722.
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In order that the facts obtained by observation and experiment may be capable of being used in furtherance of our exact and solid knowledge, they must be apprehended and analysed according to some Conceptions which, applied for this purpose, give distinct and definite results, such as can be steadily taken hold of and reasoned from.
Philosophy of the Inductive Sciences (1840), Vol. 2, 205.
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In order to comprehend and fully control arithmetical concepts and methods of proof, a high degree of abstraction is necessary, and this condition has at times been charged against arithmetic as a fault. I am of the opinion that all other fields of knowledge require at least an equally high degree of abstraction as mathematics,—provided, that in these fields the foundations are also everywhere examined with the rigour and completeness which is actually necessary.
In 'Die Theorie der algebraischen Zahlkorper', Vorwort, Jahresbericht der Deutschen Mathematiker Vereinigung, Bd. 4.
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In order to survive, an animal must be born into a favoring or at least tolerant environment. Similarly, in order to achieve preservation and recognition, a specimen of fossil man must be discovered in intelligence, attested by scientific knowledge, and interpreted by evolutionary experience. These rigorous prerequisites have undoubtedly caused many still-births in human palaeontology and are partly responsible for the high infant mortality of discoveries of geologically ancient man.
Apes, Men and Morons (1938), 106.
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In our daily lives, we enjoy the pervasive benefits of long-lived robotic spacecraft that provide high-capacity worldwide telecommunications; reconnaissance of Earth’s solid surface and oceans, with far-reaching cultural and environmental implications; much-improved weather and climatic forecasts; improved knowledge about the terrestrial effects of the Sun’s radiations; a revolutionary new global navigational system for all manner of aircraft and many other uses both civil and military; and the science of Earth itself as a sustainable abode of life.
In 'Is Human Spaceflight Obsolete?', Issues in Science and Technology (Summer 2004).
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In our search after the Knowledge of Substances, our want of Ideas, that are suitable to such a way of proceeding, obliges us to a quite different method. We advance not here, as in the other (where our abstract Ideas are real as well as nominal Essences) by contemplating our Ideas, and considering their Relations and Correspondencies; that helps us very little, for the Reasons, and in another place we have at large set down. By which, I think it is evident, that Substances afford Matter of very little general Knowledge; and the bare Contemplation of their abstract Ideas, will carry us but a very little way in the search of Truth and Certainty. What then are we to do for the improvement of our Knowledge in Substantial beings? Here we are to take a quite contrary Course, the want of Ideas of their real essences sends us from our own Thoughts, to the Things themselves, as they exist.
An Essay Concerning Human Understanding (1690). Edited by Peter Nidditch (1975), Book 4, Chapter 12, Section 9, 644.
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In physical science … whatever knowledge is once gained forms a lasting fund for afterages to inherit and trade with.
Co-author with his brother Augustus William Hare Guesses At Truth, By Two Brothers: Second Edition: With Large Additions (1848), Second Series, 13. (The volume is introduced as “more than three fourths new.” This quote is identified as by Julius; Augustus had died in 1833.)
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In physical science a first essential step in the direction of learning any subject is to find principles of numerical reckoning and practicable methods for measuring some quality connected with it. I often say that when you can measure what you are speaking about, and express it in numbers, you know something about it; but when you cannot measure it, when you cannot express it in numbers, your knowledge is of a meagre and unsatisfactory kind; it may be the beginning of knowledge, but you have scarcely in your thoughts advanced to the stage of science, whatever the matter may be.
Often seen quoted in a condensed form: If you cannot measure it, then it is not science.
From lecture to the Institution of Civil Engineers, London (3 May 1883), 'Electrical Units of Measurement', Popular Lectures and Addresses (1889), Vol. 1, 80-81.
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In physics we deal with states of affairs much simpler than those of psychology and yet we again and again learn that our task is not to investigate the essence of things—we do not at all know what this would mean&mash;but to develop those concepts that allow us to speak with each other about the events of nature in a fruitful manner.
Letter to H.P.E. Hansen (20 Jul 1935), Niels Bohr Archive. In Jan Faye, Henry J. Folse, Niels Bohr and Contemporary Philosophy (1994), 83.
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In physiology, as in all other sciences, no discovery is useless, no curiosity misplaced or too ambitious, and we may be certain that every advance achieved in the quest of pure knowledge will sooner or later play its part in the service of man.
The Linacre Lecture on the Law of the Heart (1918), 147.
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In science it is no crime to be wrong, unless you are (inappropriately) laying claim to truth. What matters is that science as a whole is a self-correcting mechanism in which both new and old notions are constantly under scrutiny. In other words, the edifice of scientific knowledge consists simply of a body of observations and ideas that have (so far) proven resistant to attack, and that are thus accepted as working hypotheses about nature.
In The Monkey in the Mirror: Essays on the Science of What Makes Us Human (2003), 9.
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In science one must search for ideas. If there are no ideas, there is no science. A knowledge of facts is only valuable in so far as facts conceal ideas: facts without ideas are just the sweepings of the brain and the memory.
Collected Works (1948), Vol.2, 348.
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In science, as in life, learning and knowledge are distinct, and the study of things, and not of books, is the source of the latter.
In 'On The Study of Zoology', Lay Sermons, Addresses, and Reviews (1870), 112.
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In science, attempts at formulating hierarchies are always doomed to eventual failure. A Newton will always be followed by an Einstein, a Stahl by a Lavoisier; and who can say who will come after us? What the human mind has fabricated must be subject to all the changes—which are not progress—that the human mind must undergo. The 'last words' of the sciences are often replaced, more often forgotten. Science is a relentlessly dialectical process, though it suffers continuously under the necessary relativation of equally indispensable absolutes. It is, however, possible that the ever-growing intellectual and moral pollution of our scientific atmosphere will bring this process to a standstill. The immense library of ancient Alexandria was both symptom and cause of the ossification of the Greek intellect. Even now I know of some who feel that we know too much about the wrong things.
Voices in the Labyrinth: Nature, Man, and Science (1979), 46.
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In science, probably ninety-nine percent of the knowable has to be discovered. We know only a few streaks about astronomy. We are only beginning to imagine the force and composition of the atom. Physics has not yet found any indivisible matter, or psychology a sensible soul.
'This World Depression of Ours is Chock-full of Good News', Hearst's International Combined with Cosmopolitan, (Oct 1932), 26. Reprinted in Ella Winter and Herbert Shapiro The World of Lincoln Steffens (1962), 216.
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In scientific matters ... the greatest discoverer differs from the most arduous imitator and apprentice only in degree, whereas he differs in kind from someone whom nature has endowed for fine art. But saying this does not disparage those great men to whom the human race owes so much in contrast to those whom nature has endowed for fine art. For the scientists' talent lies in continuing to increase the perfection of our cognitions and on all the dependent benefits, as well as in imparting that same knowledge to others; and in these respects they are far superior to those who merit the honour of being called geniuses. For the latter's art stops at some point, because a boundary is set for it beyond which it cannot go and which has probably long since been reached and cannot be extended further.
The Critique of Judgement (1790), trans. J. C. Meredith (1991), 72.
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In some remote corner of the universe, poured out and glittering in innumerable solar systems, there once was a star on which clever animals invented knowledge. That was the haughtiest and most mendacious minute of ‘world history’—yet only a minute. After nature had drawn a few breaths the star grew cold, and the clever animals had to die. ... There have been eternities when [human intellect] did not exist; and when it is done for again, nothing will have happened.
…...
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In the application of inductive logic to a given knowledge situation, the total evidence available must be used as a basis for determining the degree of confirmation.
In Logical Foundations of Probability (1950, 1962), 211.
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In the final, the positive, state, the mind has given over the vain search after absolute notions, the origin and destination of the universe, and the causes of phenomena, and applies itself to the study of their laws—that is, their invariable relations of succession and resemblance. Reasoning and observation, duly combined, are the means of this knowledge. What is now understood when we speak of an explanation of facts is simply the establishment of a connection between single phenomena and some general facts.
The Positive Philosophy, trans. Harriet Martineau (1853), Vol. 1, 2.
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In the light of knowledge attained, the happy achievement seems almost a matter of course, and any intelligent student can grasp it without too much trouble. But the years of anxious searching in the dark, with their intense longing, their alternations of confidence and exhaustion, and the final emergence into the light—only those who have experienced it can understand that.
Quoted in Banesh Hoffmann and Helen Dukas, Albert Einstein: Creator and Rebel (1972), 124.
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In the natural sciences, and particularly in chemistry, generalities must come after the detailed knowledge of each fact and not before it.
Maurice Crosland, Gay-Lussac, Scientist and Bourgeois (1978), 69.
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In the past we see that periods of great intellectual activity have followed certain events which have acted by freeing the mind from dogma, extending the domain in which knowledge can be sought, and stimulating the imagination. … [For example,] the development of the cell theory and the theory of evolution.
From address, 'A Medical Retrospect'. Published in Yale Medical Journal (Oct 1910), 17, No. 2, 59.
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In the present state of our knowledge, it would be useless to attempt to speculate on the remote cause of the electrical energy, or the reason why different bodies, after being brought into contact, should be found differently electrified; its relation to chemical affinity is, however, sufficiently evident. May it not be identical with it, and an essential property of matter?
Bakerian Lecture, 'On Some Chemical Agencies of Electricity', Philosophical Transactions of the Royal Society, 1807, 97, 39.
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In the Vienna of the late 1920s and 1930s there throve an internationally famous philosophical bunch called the logical positivists. … They said that a key ingredient of knowledge was “sense data,” and proclaimed emphatically, in the words of … J.S.L. Gilmour, that sense data are “objective and unalterable.” …Good guess, but no cigar!
In 'A Trip Through the Perception Factory', Global Brain: The Evolution of Mass Mind from the Big Bang to the 21st Century (2000), 64.
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In this age of space flight, when we use the modern tools of science to advance into new regions of human activity, the Bible ... this grandiose, stirring history of the gradual revelation and unfolding of the moral law ... remains in every way an up-to-date book. Our knowledge and use of the laws of nature that enable us to fly to the Moon also enable us to destroy our home planet with the atom bomb. Science itself does not address the question whether we should use the power at our disposal for good or for evil. The guidelines of what we ought to do are furnished in the moral law of God. It is no longer enough that we pray that God may be with us on our side. We must learn again that we may be on God's side.
Quoted in Bob Phillips, Phillips' Book of Great Thoughts & Funny Sayings (1993), 42.
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In this age of specialization men who thoroughly know one field are often incompetent to discuss another. … The old problems, such as the relation of science and religion, are still with us, and I believe present as difficult dilemmas as ever, but they are not often publicly discussed because of the limitations of specialization.
Opening statement, in transcript of talk to the Caltech Lunch Forum (2 May 1956), 'The Relation of Science and Religion', collected in Richard Phillips Feynman and Jeffrey Robbins (ed.), The Pleasure of Finding Things Out: The Best Short Works of Richard P. Feynman (1999, 2005), 245-246.
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In trying to evaluate Hopkins' unique contribution to biochemistry it may perhaps be said that he alone amongst his contemporaries succeeded in formulating the subject. Among others whose several achievements in their own fields may have surpassed his, no one has ever attempted to unify and correlate biochemical knowledge so as to form a comprehensible picture of the cell and its relation to life, reproduction and function.
'Sir F. G. Hopkins' Teaching and Scientific Influence'. In J. Needham and E. Baldwin (eds.), Hopkins and Biochemistry, 1861-1947 (1949), 36.
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In vertebrate paleontology, increasing knowledge leads to triumphant loss of clarity.
Synapsid Evolution and Dentition, International Colloquium on the Evolution of Mammals, Brussels (1962.)
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Included in this ‘almost nothing,’ as a kind of geological afterthought of the last few million years, is the first development of self-conscious intelligence on this planet–an odd and unpredictable invention of a little twig on the mammalian evolutionary bush. Any definition of this uniqueness, embedded as it is in our possession of language, must involve our ability to frame the world as stories and to transmit these tales to others. If our propensity to grasps nature as story has distorted our perceptions, I shall accept this limit of mentality upon knowledge, for we receive in trade both the joys of literature and the core of our being.
…...
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Increased knowledge of heredity means increased power of control over the living thing, and as we come to understand more and more the architecture of the plant or animal we realize what can and what cannot be done towards modification or improvement.
Reginald C. Punnett, in article 'Mendelism', from Hugh Chisholm (ed.) The Encyclopædia Britannica (1911), Vol. 18, 120.
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Increasing knowledge lessens the sphere of the supernatural.
In The Origin and Development of the Moral Ideas (1908), Vol. 2, 746.
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Index-learning turns no student pale,
Yet holds the eel of Science by the tail.
Index-learning is a term used to mock pretenders who acquire superficial knowledge merely by consulting indexes.
The Dunciad (1728), Book 1, 279. Reference from The Oxford English Dictionary.
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Inductive inference is the only process known to us by which essentially new knowledge comes into the world.
In The Design of Experiments (1935, 1971), 7.
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Industrial Society is not merely one containing 'industry,' large-scale productive units capable of supplying man's material needs in a way which can eliminate poverty: it is also a society in which knowledge plays a part wholly different from that which it played in earlier social forms, and which indeed possesses a quite different type of knowledge. Modern science is inconceivable outside an industrial society: but modern industrial society is equally inconceivable without modern science. Roughly, science is the mode of cognition of industrial society, and industry is the ecology of science.
Thought and Change (1965), 179.
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Information is not knowledge, knowledge is not wisdom, and wisdom is not foresight. Each grows out of the other, and we need them all.
Speech in Sri Lanka (1993). Quoted in Marshall B. Rosenberg and Riane Eisler, Life-Enriching Education (2003), xix. [If you know a primary print source reference, please contact Webmaster.]
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Intelligence is the capacity to learn. Learning is based on the acquisition of new knowledge about the environment. Memory is its retention.
…...
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Is any knowledge worthless? Try to think of an example.
From chapter 'Jottings from a Note-Book', in Canadian Stories (1918), 169.
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Is what you are doing fun? Of course, physics is also fun—indeed it is an enjoyable way of life. One reason physics is fun is that each element of progress transforms an area of ignorance into knowledge, but it also creates, as a by-product, an amount of new and additional ignorance in excess of that which was reduced to understanding. Thus, the volume of delicious ignorance we produce is ever-expanding, like our exponentially exploding universe.
In 'Physics and the APS in 1979', Physics Today (Apr 1980), 33, No. 4, 50.
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Isolated facts and experiments have in themselves no value, however great their number may be. They only become valuable in a theoretical or practical point of view when they make us acquainted with the law of a series of uniformly recurring phenomena, or, it may be, only give a negative result showing an incompleteness in our knowledge of such a law, till then held to be perfect.
'The Aim and Progress of Physical Science' (1869). Trans. E. Atkinson, Popular Lectures on Scientific Subjects (1873), 369.
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It amounts to a truism to say that progress in the practical arts of medicine in any of its branches, whether preventive or curative, only comes from the growth of accurate knowledge as it accumulates in the laboratories and studies of the various sciences.
From Norman Lockyer Lecture delivered before the British Science Guild (19 Nov 1929), 'Medical Research: The Tree and the Fruit', in The British Medical Journal (30 Nov 1929), Vol. 2, No. 3595, 995.
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It appears unlikely that the role of the genes in development is to be understood so long as the genes are considered as dictatorial elements in the cellular economy. It is not enough to know what a gene does when it manifests itself. One must also know the mechanisms determining which of the many gene-controlled potentialities will be realized.
'The Role of the Cytoplasm in Heredity', in William D. McElroy and Bentley Glass (eds.), A Symposium on the Chemical Basis of Heredity (1957), 162.
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It can even be thought that radium could become very dangerous in criminal hands, and here the question can be raised whether mankind benefits from knowing the secrets of Nature, whether it is ready to profit from it or whether this knowledge will not be harmful for it. The example of the discoveries of Nobel is characteristic, as powerful explosives have enabled man to do wonderful work. They are also a terrible means of destruction in the hands of great criminals who lead the peoples towards war. I am one of those who believe with Nobel that mankind will derive more good than harm from the new discoveries.
Nobel Lecture (6 June 1905), 'Radioactive Substances, Especially Radium', collected in Stig Lundqvist (ed.), Nobel Lectures: Physics 1901-1921 (1998), 78.
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It follows from the supreme perfection of God, that in creating the universe has chosen the best possible plan, in which there is the greatest variety together with the greatest order; the best arranged ground, place, time; the most results produced in the most simple ways; the most of power, knowledge, happiness and goodness the creatures that the universe could permit. For since all the possibles in I understanding of God laid claim to existence in proportion to their perfections, the actual world, as the resultant of all these claims, must be the most perfect possible. And without this it would not be possible to give a reason why things have turned out so rather than otherwise.
The Principles of Nature and Grace (1714), The Philosophical Works of Leibnitz (1890), ed. G. M. Duncan, 213-4.
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It has been my misfortune never to have had any neighbours whose studies have led them towards the pursuit of natural knowledge; so that, for want of a companion to quicken my industry and sharpen my attention, I have made but slender progress in a kind of information to which I have been attached from my childhood.
In Letter to Thomas Pennant (4 Aug 1767), in The Natural History and Antiquities of Selborne (1789), 27.
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It has been pointed out already that no knowledge of probabilities, less in degree than certainty, helps us to know what conclusions are true, and that there is no direct relation between the truth of a proposition and its probability. Probability begins and ends with probability. That a scientific investigation pursued on account of its probability will generally lead to truth, rather than falsehood, is at the best only probable.
In A Treatise on Probability (1921), 322.
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It has hitherto been a serious impediment to the progress of knowledge, that is in investigating the origin or causes of natural productions, recourse has generally been had to the examination, both by experiment and reasoning, of what might be rather than what is. The laws or processes of nature we have every reason to believe invariable. Their results from time to time vary, according to the combinations of influential circumstances; but the process remains the same. Like the poet or the painter, the chemist may, and no doubt often' does, create combinations which nature never produced; and the possibility of such and such processes giving rise to such and such results, is no proof whatever that they were ever in natural operation.
Considerations on Volcanoes (1825), 243.
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It has often been said that, to make discoveries, one must be ignorant. This opinion, mistaken in itself, nevertheless conceals a truth. It means that it is better to know nothing than to keep in mind fixed ideas based on theories whose confirmation we constantly seek, neglecting meanwhile everything that fails to agree with them.
From An Introduction to the Study of Experimental Medicine (1865), as translated by Henry Copley Greene (1957), 37.
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It is a commonplace of modern technology that problems have solutions before there is knowledge of how they are to be solved.
In The New Industrial State (1977).
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It is a natural inquiry to ask—To what most nearly are these new phenomena [the newly-born science of radioactivity and the spontaneous disintegration of elements] correlated? Is it possible to give, by the help of an analogy to familiar phenomena, any correct idea of the nature of this new phenomenon “Radioactivity”? The answer may surprise those who hold to the adage that there is nothing new under the sun. Frankly, it is not possible, because in these latest developments science has broken fundamentally new ground, and has delved one distinct step further down into the foundations of knowledge.
In The Interpretation of Radium: Being the Substance of Six Free Popular Lectures Delivered at the University of Glasgow (1909, 1912), 2. The original lectures of early 1908, were greatly edited, rearranged and supplemented by the author for the book form.
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It is a right, yes a duty, to search in cautious manner for the numbers, sizes, and weights, the norms for everything [God] has created. For He himself has let man take part in the knowledge of these things ... For these secrets are not of the kind whose research should be forbidden; rather they are set before our eyes like a mirror so that by examining them we observe to some extent the goodness and wisdom of the Creator.
Epitome of Copernican Astronomy. In Michael B. Foster, Mystery and Philosophy, 61. Cited by Max Casper and Doris Hellman, trans., ed. Kepler (1954), 381. Cited by Gerald J. Galgan, Interpreting the Present: Six Philosophical Essays (1993), 105. Gerald J. Galgan
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It is a strange fact, characteristic of the incomplete state of our present knowledge, that totally opposing conclusions are drawn about prehistoric conditions on our planet, depending on whether the problem is approached from the biological or the geophysical viewpoint.
In The Origins of Continents and Oceans (4th ed. 1929), trans. John Biram (1966), 5.
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It is a vulgar belief that our astronomical knowledge dates only from the recent century when it was rescued from the monks who imprisoned Galileo; but Hipparchus…who among other achievements discovered the precession of the eqinoxes, ranks with the Newtons and the Keplers; and Copernicus, the modern father of our celestial science, avows himself, in his famous work, as only the champion of Pythagoras, whose system he enforces and illustrates. Even the most modish schemes of the day on the origin of things, which captivate as much by their novelty as their truth, may find their precursors in ancient sages, and after a careful analysis of the blended elements of imagination and induction which charaterise the new theories, they will be found mainly to rest on the atom of Epicurus and the monad of Thales. Scientific, like spiritual truth, has ever from the beginning been descending from heaven to man.
Lothair (1879), preface, xvii.
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It is a wrong business when the younger cultivators of science put out of sight and deprecate what their predecessors have done; but obviously that is the tendency of Huxley and his friends … It is very true that Huxley was bitter against the Bishop of Oxford, but I was not present at the debate. Perhaps the Bishop was not prudent to venture into a field where no eloquence can supersede the need for precise knowledge. The young naturalists declared themselves in favour of Darwin’s views which tendency I saw already at Leeds two years ago. I am sorry for it, for I reckon Darwin’s book to be an utterly unphilosophical one.
Letter to James D, Forbes (24 Jul 1860). Trinity College Cambridge, Whewell Manuscripts.
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It is almost as difficult to make a man unlearn his errors, as his knowledge. Mal-information is more hopeless than non-information: for error is always more busy than ignorance. Ignorance is a blank sheet on which we may write; but error is a scribbled one on which we first erase. Ignorance is contented to stand still with her back to the truth; but error is more presumptuous, and proceeds, in the same direction. Ignorance has no light, but error follows a false one. The consequence is, that error, when she retraces her footsteps, has farther to go, before we can arrive at the truth, than ignorance.
Reflection 1, in Lacon: or Many things in Few Words; Addressed to Those Who Think (1820), 15.
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It is an astonishing feat of deciphering that we should have been able to infer an orderly scheme of natural knowledge from such indirect communication.
Swarthmore Lecture (1929) at Friends’ House, London, printed in Science and the Unseen World (1929), 34.
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It is better to have a few forms well known than to teach a little about many hundred species. Better a dozen specimens thoroughly studied as the result of the first year’s work, than to have two thousand dollars’ worth of shells and corals bought from a curiosity-shop. The dozen animals would be your own.
Lecture at a teaching laboratory on Penikese Island, Buzzard's Bay. Quoted from the lecture notes by David Starr Jordan, Science Sketches (1911), 147.
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It is better to teach the child arithmetic and Latin grammar than rhetoric and moral philosophy, because they require exactitude of performance it is made certain that the lesson is mastered, and that power of performance is worth more than knowledge.
In Lecture on 'Education'. Collected in J.E. Cabot (ed.), The Complete Works of Ralph Waldo Emerson: Lectures and Biographical Sketches (1883), 145.
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It is better to trust in the Rock of Ages, than to know the age of the rocks; it is better for one to know that he is close to the Heavenly Father, than to know how far the stars in the heavens are apart.
In chapter, 'The Origin of Man', In His Image (1922), 93.
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It is curious to observe how differently these great men [Plato and Bacon] estimated the value of every kind of knowledge. Take Arithmetic for example. Plato, after speaking slightly of the convenience of being able to reckon and compute in the ordinary transactions of life, passes to what he considers as a far more important advantage. The study of the properties of numbers, he tells us, habituates the mind to the contemplation of pure truth, and raises us above the material universe. He would have his disciples apply themselves to this study, not that they may be able to buy or sell, not that they may qualify themselves to be shop-keepers or travelling merchants, but that they may learn to withdraw their minds from the ever-shifting spectacle of this visible and tangible world, and to fix them on the immutable essences of things.
Bacon, on the other hand, valued this branch of knowledge only on account of its uses with reference to that visible and tangible world which Plato so much despised. He speaks with scorn of the mystical arithmetic of the later Platonists, and laments the propensity of mankind to employ, on mere matters of curiosity, powers the whole exertion of which is required for purposes of solid advantage. He advises arithmeticians to leave these trifles, and employ themselves in framing convenient expressions which may be of use in physical researches.
In 'Lord Bacon', Edinburgh Review (Jul 1837). Collected in Critical and Miscellaneous Essays: Contributed to the Edinburgh Review (1857), Vol. 1, 394.
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It is God who is the ultimate reason things, and the Knowledge of God is no less the beginning of science than his essence and will are the beginning of things.
Letter on a General Principle Useful in Explaining the Laws of Nature (1687).
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It is hard to hide our genes completely. However devoted someone may be to the privacy of his genotype, others with enough curiosity and knowledge can draw conclusions from the phenotype he presents and from the traits of his relatives.
In The Lives to Come: the Genetic Revolution and Human Possibilities (1997), 127.
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It is high time that laymen abandoned the misleading belief that scientific enquiry is a cold dispassionate enterprise, bleached of imaginative qualities, and that a scientist is a man who turns the handle of discovery; for at every level of endeavour scientific research is a passionate undertaking and the Promotion of Natural Knowledge depends above all on a sortee into what can be imagined but is not yet known.
The Times Literary Supplement (London), 1963 October 25 (p. 850)
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It is important that students bring a certain ragamuffin, barefoot irreverence to their studies; they are not here to worship what is known, but to question it.
The Ascent of Man (1973), 360.
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It is impossible with our present knowledge to suppose that at any prior stage of the history of the heavens gravitation did not exist. It is impossible, from what we know now, to suppose that even the finest form of matter which entered our clearing in space was not endowed with motion. Given this matter, its motion and gravitation,… will give us a formation of centres;… rotation…; we shall… get condensing masses of this curdled substance.
In 'The History of a Star', The Nineteenth Century (Nov 1889), 26, No. 153, 787-788.
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It is in moments of illness that we are compelled to recognize that we live not alone but chained to a creature of a different kingdom, whole worlds apart, who has no knowledge of us, and by whom it is impossible to make ourselves understood: our body.
'Le Côté de Guermantes', À la recherche du temps perdu (1913-27).
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It is incumbent upon us to keep training and pruning the tree of knowledge without looking to the right or the left.
From United States Bureau of Animal Industry, 'Investigations of Diseases of Domesticated Animals', Annual Report: Fiscal Years 1895 and 1896 (1897), Vol. 12, 150.
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It is interesting to transport one’s self back to the times when Astronomy began; to observe how discoveries were connected together, how errors have got mixed up with truth, have delayed the knowledge of it, and retarded its progress; and, after having followed the various epochs and traversed every climate, finally to contemplate the edifice founded on the labours of successive centuries and of various nations.
Description of Bailly’s plan when writing his history of astronomy books, quoted by François Arago, trans. by William Henry Smyth, Baden Powell and Robert Grant, in 'Bailly', Biographies of Distinguished Scientific Men (1859), Vol. 1, 114. Arago first presented this biography of Bailly when he read it to the Academy of Sciences (26 Feb 1844).
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It is known that knowledge is power, and power is energy, and energy is matter, and matter is mass, and therefore large accumulations of knowledge distort time and space.
In Terry Pratchett, Ian Stewart and Jack Cohen, Chap. 25, 'Unnatural Selection', The Science of Discworld (1999), 180. Pratchett wrote the fantasy story told in the odd-numbered chapters (such as Chap. 25). Relevant real science is contributed by his co-authors, Stewart and Cohen, in the even-numbered chapters.
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It is like the difference between a specialist and a philosopher. A specialist is someone who knows more and more about less and less until at last he knows everything about nothing. A philosopher is someone who knows less and less about more and more until at last he knows nothing about everything. Physics is now too philosophical. In my work I would like to reverse the process, and to try to limit the things to be found out and to make some modest discoveries which may later be useful.
As quoted in Robert Coughlan, 'Dr. Edward Teller’s Magnificent Obsession', Life (6 Sep 1954), 74.
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It is my belief that the basic knowledge that we're providing to the world will have a profound impact on the human condition and the treatments for disease and our view of our place on the biological continuum.
From Text of Remarks on the Completion of the First Survey of the First Survey of the Entire Human Genome Project (26 Jun 2000).
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It is no good to try to stop knowledge from going forward. Ignorance is never better that knowledge.
Note: Although attributed as his viewpoint to Enrico Fermi, it is probably not a direct quote by him.
Not a direct quotation by Enrico Fermi, but his viewpoint, as described by his wife, Laura Fermi, in Atoms in the Family: My Life with Enrico Fermi (1954), 244. See it in context elsewhere on this page, in a longer quote that begins: “Some men said an atomic bomb…”
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It is no way derogatory to Newton, or Kepler, or Galileo, that Science in these days should have advanced far beyond them. Rather is this itself their crown of glory. Their works are still bearing fruit, and will continue to do so. The truths which they discovered are still living in our knowledge, pregnant with infinite consequences.
Co-author with his brother Augustus William Hare Guesses At Truth, By Two Brothers: Second Edition: With Large Additions (1848), Second Series, 251. (The volume is introduced as “more than three fourths new.” This quote is identified as by Julius; Augustus had died in 1833.)
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It is not always the truth that tells us where to look for new knowledge. We don’t search for the penny under the lamp post where the light is. We know we are more likely to find it out there in the darkness. My favorite way of expressing this notion to graduate students who are trying to do very hard experiments is to remind them that “God loves the noise as much as he does the signal.”
In 'Physics and the APS in 1979', Physics Today (Apr 1980), 33, No. 4, 50.
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It is not enough to say that we cannot know or judge because all the information is not in. The process of gathering knowledge does not lead to knowing. A child's world spreads only a little beyond his understanding while that of a great scientist thrusts outward immeasurably. An answer is invariably the parent of a great family of new questions. So we draw worlds and fit them like tracings against the world about us, and crumple them when we find they do not fit and draw new ones.
In John Steinbeck and Edward Flanders Ricketts, Sea of Cortez: a Leisurely Journal of Travel and Research (1941), 165-66.
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It is not enough to teach man a specialty. Through it he may become a kind of useful machine, but not a harmoniously developed personality. It is essential that the student acquire an understanding of and a lively feeling for values. He must acquire a vivid sense of the beautiful and of the morally good. Otherwise he—with his specialized knowledge—more closely resembles a well-trained dog than a harmoniously developed person.
From interview with Benjamin Fine, 'Einstein Stresses Critical Thinking', New York Times (5 Oct 1952), 37.
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It is not his possession of knowledge, of irrefutable truth, that makes the man of science, but his persistent and recklessly critical quest for truth.
In The Logic of Scientific Discovery (1959, 1972), 281.
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It is not knowing, but the love of learning, that characterizes the scientific man.
From 'Lessons from the History of Science: The Scientific Attitude' (c.1896), in Collected Papers (1931), Vol. 1, 20.
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It is not knowledge, but the act of learning, not possession but the act of getting there, which grants the greatest enjoyment. When I have clarified and exhausted a subject, then I turn away from it, in order to go into darkness again; the never-satisfied man is so strange if he has completed a structure, then it is not in order to dwell in it peacefully,but in order to begin another. I imagine the world conqueror must feel thus, who, after one kingdom is scarcely conquered, stretches out his arms for others.
Letter to Farkas Wolfgang Bolyai (2 Sep 1808). Quoted in G. Waldo Dunnington, Carl Friedrich Gauss: Titan of Science (2004), 416.
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It is not only by the questions we have answered that progress may be measured, but also by those we are still asking. The passionate controversies of one era are viewed as sterile preoccupations by another, for knowledge alters what we seek as well as what we find.
In Freda Adler and Herbert Marcus Adler, Sisters in Crime (1975), 31.
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It is not so bad being ignorant if you are totally ignorant; the hard thing is knowing in some detail the reality of ignorance...
In The Medusa and the Snail: More Notes of a Biology Watcher (1974, 1979), 74.
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It is not therefore the business of philosophy, in our present situation in the universe, to attempt to take in at once, in one view, the whole scheme of nature; but to extend, with great care and circumspection, our knowledge, by just steps, from sensible things, as far as our observations or reasonings from them will carry us, in our enquiries concerning either the greater motions and operations of nature, or her more subtile and hidden works. In this way Sir Isaac Newton proceeded in his discoveries.
An Account of Sir Isaac Newton's Philosophical Discoveries, in Four Books (1748), 19.
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It is not what we know that is important, it is what we do not know.
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It is not, indeed, strange that the Greeks and Romans should not have carried ... any ... experimental science, so far as it has been carried in our time; for the experimental sciences are generally in a state of progression. They were better understood in the seventeenth century than in the sixteenth, and in the eighteenth century than in the seventeenth. But this constant improvement, this natural growth of knowledge, will not altogether account for the immense superiority of the modern writers. The difference is a difference not in degree, but of kind. It is not merely that new principles have been discovered, but that new faculties seem to be exerted. It is not that at one time the human intellect should have made but small progress, and at another time have advanced far; but that at one time it should have been stationary, and at another time constantly proceeding. In taste and imagination, in the graces of style, in the arts of persuasion, in the magnificence of public works, the ancients were at least our equals. They reasoned as justly as ourselves on subjects which required pure demonstration.
History (May 1828). In Samuel Austin Allibone, Prose Quotations from Socrates to Macaulay (1880), 36.
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It is obvious that we know with certainty, that the Flütz [layered] and primitive mountains have been produced by a series of precipitations and depositions formed in succession; that they took place from water which covered the globe, existing always more or less generally, and containing the different substances which have been produced from them.
In New Theory of the Formation of Veins (1809), 110-1.
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It is of priceless value to the human race to know that the sun will supply the needs of the earth, as to light and heat, for millions of years; that the stars are not lanterns hung out at night, but are suns like our own; and that numbers of them probably have planets revolving around them, perhaps in many cases with inhabitants adapted to the conditions existing there. In a sentence, the main purpose of the science is to learn the truth about the stellar universe; to increase human knowledge concerning our surroundings, and to widen the limits of intellectual life.
In 'The Nature of the Astronomer’s Work', North American Review (Jun 1908), 187, No. 631, 915.
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It is often claimed that knowledge multiplies so rapidly that nobody can follow it. I believe this is incorrect. At least in science it is not true. The main purpose of science is simplicity and as we understand more things, everything is becoming simpler. This, of course, goes contrary to what everyone accepts.
Edward Teller, Wendy Teller, Wilson Talley, Conversations on the Dark Secrets of Physics (1991, 2002), 2.
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It is one of the signs of the times that modern chemists hold themselves bound and consider themselves in a position to give an explanation for everything, and when their knowledge fails them to make sure of supernatural explanations. Such a treatment of scientific subjects, not many degrees removed from a belief in witches and spirit-rapping, even Wislicenus considers permissible.
In H. Kolbe, 'Sign of the Times', Journal für Praktische Chemie (1877), 15, 473. Trans. W. H. Brock.
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It is only those who know a little of nature, who fancy they know much. I have heard a young man say, after hearing a few popular chemical lectures, and seeing a few bottle and squirt experiments: Oh, water—water is only oxygen and hydrogen!—as if he knew all about it. While the true chemist would smile sadly enough at the the youth's hasty conceit, and say in his heart: 'Well, he is a lucky fellow.'
'Thoughts in a Gravel Pit', a lecture delivered at the Mechanics' Institute, Odiham (1857). The Works of Charles Kingsley (1880), 284.
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It is our previous knowledge that must forge the links of connexion between what is given and what is required.
In Induction (1870), 422. Paraphrased by John Tindell when quoting Bain as: “Your present knowledge must forge the links of connection between what has been already achieved and what is now required.” in Fragments of Science for Unscientific People: A Series of Detached Essays (1874), 129.
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It is plainly the popularization of science that is responsible for the fever and instability apparent on all sides. To withhold knowledge from people, or to place unassimilable knowledge in their hands, are both equally effective, if you wish to render them helpless.
In The Art of Being Ruled (1926), 423.
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It is possible to fly without motors, but not without knowledge & skill.
From his first letter (13 May 1900) to Octave Chanute. In Marvin W. McFarland (ed.) The Papers of Wilbur and Orville Wright: 1899-1905 (1953), Vol. 1, 13.
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It is possible to read books on Natural History with intelligence and profit, and even to make good observations, without a scientific groundwork of biological instruction; and it is possible to arrive at empirical facts of hygiene and medical treatment without any physiological instruction. But in all three cases the absence of a scientific basis will render the knowledge fragmentary and incomplete; and this ought to deter every one from offering an opinion on debatable questions which pass beyond the limit of subjective observations. The psychologist who has not prepared himself by a study of the organism has no more right to be heard on the genesis of the psychical states, or of the relations between body and mind, than one of the laity has a right to be heard on a question of medical treatment.
The Physical Basis of Mind (1877), 4.
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It is rather astonishing how little practical value scientific knowledge has for ordinary men, how dull and commonplace such of it as has value is, and how its value seems almost to vary inversely to its reputed utility.
In A Mathematician's Apology (1940, 2012), 117-118.
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It is remarkable that a science which began with the consideration of games of chance should have become the most important object of human knowledge.
Théorie Analytique des Probabilitiés. Quoted in Isaac Todhunter, History of the Mathematical Theory of Probability from the Time of Pascal to that of Laplace (1865),
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It is sometimes important for science to know how to forget the things she is surest of.
Pensées d’un Biologiste (1939). Translated in The Substance of Man (1962), Chap. 7.
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It is somewhat remarkable, that, at a time when knowledge is so generally diffused, when the geography of the world is so well understood—when time and space, in the intercourse of nations, are almost annihilated—when oceans have become bridges—the earth a magnificent hall—the hollow sky a dome—under which a common humanity can meet in friendly conclave—when nationalities are being swallowed up and the ends of the earth brought together—I say it is remarkable—nay, it is strange that there should arise a phalanx of learned men—speaking in the name of science—to forbid the magnificent reunion of mankind in one brotherhood. A mortifying proof is here given, that the moral growth of a nation, or an age, does not always keep pace with the increase of knowledge, and suggests the necessity of means to increase human love with human learning.
From Speech (12 Jul 1854), delivered At Western Reserve College, 'The Claims Of The Negro Ethnologically Considered', collected in Philip S. Foner, Yuval Taylor (eds.), Frederick Douglass: Selected Speeches and Writings (2000), 285.
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It is supposed that the ancients were ignorant of the law in hydraulics, by which water, in a tube, will rise as high as the fountain-head; and hence they carried their stupendous aqueducts horizontally, from hill-top to hill-top, upon lofty arches, with an incredible expenditure of labor and money. The knowledge of a single law, now familiar to every well-instructed school-boy,— namely, that water seeks a level, and, if not obstructed, will find it,—enables the poorest man of the present day to do what once demanded the wealth of an empire. The beautiful fragments of the ancient Roman aqueducts, which have survived the ravage of centuries, are often cited to attest the grandeur and power of their builders. To me, they are monuments, not of their power, but of their weakness.
In Thoughts Selected From the Writings of Horace Mann (1872), 231.
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It is that which we do know which is the great hindrance to our learning not that which we do not know.
Remark to his friend Gambetta, as quoted in Sir Michael Foster, Claude Bernard (1899), 206
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It is the desire for explanations that are at once systematic and controllable by factual evidence that generates science; and it is the organization and classification of knowledge on the basis of explanatory principles that is the distinctive goal of the sciences.
The Structure of Science (1961), 4.
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It is the great beauty of our science that advancement in it, whether in a degree great or small, instead of exhausting the subject of research, opens the doors to further and more abundant knowledge, overflowing with beauty and utility.
From 'Experimental Researches in Electricity: Series VII: § 13. On the absolute quantity of Electricity associated with the particles or atoms of Matter', Philosophic Transactions, (text dated 31 Dec 1833, received 9 Jan 1834, read 13 Feb 1834). Collected in Experimental Researches in Electricity (1839), Vol. 1, 257.
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It is the man of science, eager to have his every opinion regenerated, his every idea rationalised, by drinking at the fountain of fact, and devoting all the energies of his life to the cult of truth, not as he understands it, but as he does not understand it, that ought properly to be called a philosopher. To an earlier age knowledge was power—merely that and nothing more—to us it is life and the summum bonum.
As quoted in Sir Richard Gregory, Discovery: Or, The Spirit and Service of Science (1916), 24.
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It is the province of knowledge to speak and it is the privilege of wisdom to listen.
In The Poet at the Breakfast-Table (1892), 264.
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It is the responsibility of scientists never to suppress knowledge, no matter how awkward that knowledge is, no matter how it may bother those in power; we are not smart enough to decide which pieces of knowledge are permissible, and which are not. …
Quoted in Lily Splane, Quantum Consciousness (2004), 80.
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It is the structure of the universe that has taught this knowledge to man. That structure is an ever existing exhibition of every principle upon which every part of mathematical science is founded. The offspring of this science is mechanics; for mechanics are no other than the principles of science appplied practically.
In The Age of Reason: Being an Investigation of True and Fabulous Theology (27 Jan O.S. 1794), 42.
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It is the truth alone that we desire to know and what a joy there is in discovering it.
Epigraph, without citation, in Victor Robinson, Pathfinders in Medicine (1912), 121. (Chapter originally printed as an article by Robinson in the Alumni Journal of the New York College of Pharmacy.)
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It is they who hold the secret of the mysterious property of the mind by which error ministers to truth, and truth slowly but irrevocably prevails. Theirs is the logic of discovery, the demonstration of the advance of knowledge and the development of ideas, which as the earthly wants and passions of men remain almost unchanged, are the charter of progress, and the vital spark in history.
Lecture, 'The Study of History' (11 Jun 1895) delivered at Cambridge, published as A Lecture on The Study of History (1895), 54-55.
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It is to geometry that we owe in some sort the source of this discovery [of beryllium]; it is that [science] that furnished the first idea of it, and we may say that without it the knowledge of this new earth would not have been acquired for a long time, since according to the analysis of the emerald by M. Klaproth and that of the beryl by M. Bindheim one would not have thought it possible to recommence this work without the strong analogies or even almost perfect identity that Citizen Haüy found for the geometrical properties between these two stony fossils.
Haüy used the geometry of cleavage to reveal the underlying crystal structure, and thus found the emeral and beryl were geometrically identical. In May Elvira Weeks, The Discovery of the Elements (1934), 153, citing Mellor, Comprehensive Treatise on Inorganic and Theoretical Chemistry (1923), 204-7.
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It makes sense to ask a young researcher in basic research what he is trying to find out, what sort of knowledge he hopes to have at the end of his program which does not now exist. … But it makes no sense to ask him just how he is going to do it, what it will cost, or how long it will take. If he knew the answers it would not be basic research.
From a statement (21 Nov 1963) to the Select Committee on Government Research of the U.S. House of Representatives. Excerpted in 'Vannevar Bush Speaks', Science (27 Dec 1963), New Series, 142, No. 3600, 1623.
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It may be asserted without exaggeration that the domain of mathematical knowledge is the only one of which our otherwise omniscient journalism has not yet possessed itself.
In Ueber Wert und angeblichen Unwert der Mathematik'’ Jahresbericht der Deulschen Mathematiker Vereinigung (1904), 367.
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It may be observed of mathematicians that they only meddle with such things as are certain, passing by those that are doubtful and unknown. They profess not to know all things, neither do they affect to speak of all things. What they know to be true, and can make good by invincible arguments, that they publish and insert among their theorems. Of other things they are silent and pass no judgment at all, chusing [choosing] rather to acknowledge their ignorance, than affirm anything rashly. They affirm nothing among their arguments or assertions which is not most manifestly known and examined with utmost rigour, rejecting all probable conjectures and little witticisms. They submit nothing to authority, indulge no affection, detest subterfuges of words, and declare their sentiments, as in a Court of Judicature [Justice], without passion, without apology; knowing that their reasons, as Seneca testifies of them, are not brought to persuade, but to compel.
Mathematical Lectures (1734), 64.
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It may be said “In research, if you know what you are doing, then you shouldn't be doing it.” In a sense, if the answer turns out to be exactly what you expected, then you have learned nothing new, although you may have had your confidence increased somewhat.
In Numerical Methods for Scientists and Engineers (1973), 704.
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It may well be doubted whether, in all the range of science, there is any field so fascinating to the explorer—so rich in hidden treasures—so fruitful in delightful surprises—as that of Pure Mathematics. The charm lies chiefly, I think, in the absolute certainty of its results; for that is what, beyond all mental treasures, the human intellect craves for. Let us only be sure of something! More light, more light!
Written without pseudonym as Charles L. Dodgson. Opening remarks in Introduction to A New Theory of Parallels (1888, 1890), xv.
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It might be said that all knowledge is linked to the essential forms of cruelty.
Mental Illness and Psychology (1976), trans. Alan Sheridan, 73.
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It might interest you that when we made the experiments that we did not read the literature well enough—and you know how that happens. On the other hand, one would think that other people would have told us about it. For instance, we had a colloquium at the time in Berlin at which all the important papers were discussed. Nobody discussed Bohr’s paper. Why not? The reason is that fifty years ago one was so convinced that nobody would, with the state of knowledge we had at that time, understand spectral line emission, so that if somebody published a paper about it, one assumed “probably it is not right.” So we did not know it.
Explaining how his experiment with Gustav Hertz produced results, without them knowing that it proved Niels Bohr’s theory of the atom and its energy levels. From an interview quoted by Gerald Holton in 'On the Recent Past of Physics', American Journal of Physics (1961), 29, 805. As cited in William H. Cropper, Great Physicists: The Life and Times of Leading Physicists from Galileo to Hawking (2001), 251.
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It must be conceded that a theory has an important advantage if its basic concepts and fundamental hypotheses are 'close to experience,' and greater confidence in such a theory is certainly justified. There is less danger of going completely astray, particularly since it takes so much less time and effort to disprove such theories by experience. Yet more and more, as the depth of our knowledge increases, we must give up this advantage in our quest for logical simplicity in the foundations of physical theory...
'On the Generalized Theory of Gravitation', Scientific American (Apr 1950), 13. In David H. Levy (Ed.), The Scientific American Book of the Cosmos (2000), 19.
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It often happens that men, even of the best understandings and greatest circumspection, are guilty of that fault in reasoning which the writers on logick call the insufficient, or imperfect enumeration of parts, or cases: insomuch that I will venture to assert, that this is the chief, and almost the only, source of the vast number of erroneous opinions, and those too very often in matters of great importance, which we are apt to form on all the subjects we reflect upon, whether they relate to the knowledge of nature, or the merits and motives of human actions. It must therefore be acknowledged, that the art which affords a cure to this weakness, or defect, of our understandings, and teaches us to enumerate all the possible ways in which a given number of things may be mixed and combined together, that we may be certain that we have not omitted anyone arrangement of them that can lead to the object of our inquiry, deserves to be considered as most eminently useful and worthy of our highest esteem and attention. And this is the business of the art, or doctrine of combinations ... It proceeds indeed upon mathematical principles in calculating the number of the combinations of the things proposed: but by the conclusions that are obtained by it, the sagacity of the natural philosopher, the exactness of the historian, the skill and judgement of the physician, and the prudence and foresight of the politician, may be assisted; because the business of all these important professions is but to form reasonable conjectures concerning the several objects which engage their attention, and all wise conjectures are the results of a just and careful examination of the several different effects that may possibly arise from the causes that are capable of producing them.
Ars conjectandi (1713). In F. Maseres, The Doctrine of Permutations and Combinations (1795), 36.
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It required unusual inquisitiveness to pursue the development of scientific curiosities such as charged pith balls, the voltaic cell, and the electrostatic machine. Without such endeavors and the evolution of associated instrumentation, initially of purely scientific interest, most of the investigations that lead to the basic equations of electromagnetism would have been missed. … We would have been deprived of electromagnetic machinery as well as knowledge of electromagnetic waves.
From The Science Matrix: The Journey, Travails, Triumphs (1992, 1998), 14.
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It seems plain and self-evident, yet it needs to be said: the isolated knowledge obtained by a group of specialists in a narrow field has in itself no value whatsoever, but only in its synthesis with all the rest of knowledge and only inasmuch as it really contributes in this synthesis toward answering the demand, ‘Who are we?’
…...
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It seems to me, that the only Objects of the abstract Sciences or of Demonstration is Quantity and Number, and that all Attempts to extend this more perfect Species of Knowledge beyond these Bounds are mere Sophistry and Illusion.
An Enquiry Concerning Human Understanding (1748), 252.
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It so happens that the work which is likely to be our most durable monument, and to convey some knowledge of us to the most remote posterity, is a work of bare utility; not a shrine, not a fortress, not a palace, but a bridge.
Writing upon the opening of the Brooklyn Bridge, New York.
'The Bridge as a Monument', Harper's Weekly (26 May 1883), 27, 326. In David P. Billington, The Tower and the Bridge: The New Art of Structural Engineering (1983), 17.
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It surely can be no offence to state, that the progress of science has led to new views, and that the consequences that can be deduced from the knowledge of a hundred facts may be very different from those deducible from five. It is also possible that the facts first known may be the exceptions to a rule and not the rule itself, and generalisations from these first-known facts, though useful at the time, may be highly mischievous, and impede the progress of the science if retained when it has made some advance.
Sections and Views Illustrative of Geological Phenomena (1830), viii.
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It was above all in the period after the devastating incursions of the Goths that all branches of knowledge which previously had flourished gloriously and been practiced in the proper manner, began to deteriorate. This happened first of all in Italy where the most fashionable physicians, spurning surgery as did the Romans of old, assigned to their servants such surgical work as their patients seemed to require and merely exercised a supervision over them in the manner of architects.
From De Humani Corporis Fabrica Libri Septem: (1543), Book I, i, as translated by William Frank Richardson, in On The Fabric of the Human Body: Book I: The Bones and Cartilages (1998), Preface, xlviii.
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It was the secrets of heaven and earth that I desired to learn.
In Frankenstein: Or, The Modern Prometheus (Rev. ed. 1831, 1839), 24. Webmaster note: This line does not appear before this edition, revised by Shelley for Colburn and Bentley’s Standard Novels Series, No. 9.
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It will be contributing to bring forward the moment in which, seeing clearer into the nature of things, and having learnt to distinguish real knowledge from what has only the appearance of it, we shall be led to seek for exactness in every thing.
'An Essay on Pyrometry and Areometry, and on Physical Measures in General', Philosophical Transactions, 1778, 68, 493.
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It will be! the mass is working clearer!
Conviction gathers, truer, nearer!
The mystery which for Man in Nature lies
We dare to test, by knowledge led;
And that which she was wont to organize
We crystallize, instead.
As spoken by character Wagner, in Johann Goethe and Bayard Taylr (trans.), Faust: A tragedy by Johann Wolfgang von Goethe, translated, in the original metres: The Second Part (1871), Act 2, Scene 2, Laboratory, 119.
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It would be a poor thing to be an atom in a universe without physicists, and physicists are made of atoms. A physicist is an atom’s way of knowing about atoms.
In lecture, 'Life and Mind in the Universe', versions of which George Wald delivered throughout the 1980s. On the website of his son, Elijah Wald, who states it was the last of his father's major lectures.
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It would seem at first sight as if the rapid expansion of the region of mathematics must be a source of danger to its future progress. Not only does the area widen but the subjects of study increase rapidly in number, and the work of the mathematician tends to become more and more specialized. It is, of course, merely a brilliant exaggeration to say that no mathematician is able to understand the work of any other mathematician, but it is certainly true that it is daily becoming more and more difficult for a mathematician to keep himself acquainted, even in a general way, with the progress of any of the branches of mathematics except those which form the field of his own labours. I believe, however, that the increasing extent of the territory of mathematics will always be counteracted by increased facilities in the means of communication. Additional knowledge opens to us new principles and methods which may conduct us with the greatest ease to results which previously were most difficult of access; and improvements in notation may exercise the most powerful effects both in the simplification and accessibility of a subject. It rests with the worker in mathematics not only to explore new truths, but to devise the language by which they may be discovered and expressed; and the genius of a great mathematician displays itself no less in the notation he invents for deciphering his subject than in the results attained. … I have great faith in the power of well-chosen notation to simplify complicated theories and to bring remote ones near and I think it is safe to predict that the increased knowledge of principles and the resulting improvements in the symbolic language of mathematics will always enable us to grapple satisfactorily with the difficulties arising from the mere extent of the subject.
In Presidential Address British Association for the Advancement of Science, Section A., (1890), Nature, 42, 466.
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It’s funny how worms can turn leaves into silk.
But funnier far is the cow:
She changes a field of green grass into milk
And not a professor knows how.
In Dorothy Caruso, Enrico Caruso: His Life and Death (1963), 42. Written for Michael Pupin, who made a similar statement in prose: “Look at those animals and remember the greatest scientists in the world have never discovered how to make grass into milk.”
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It’s intriguing that the chair is mostly empty space and the thing that stops you going through it is vibrations or energy fields. But it’s also fascinating that, because we’re animals that evolved to survive, what solidity is to most of us is something you can’t walk through. Also, the science of the future may be vastly different from the science of today, and you have to have the humility to admit when you don’t know. But instead of filling that vacuum with goblins or spirits, I think you should say, “Science is working on it.”
Commenting on string theory. From 'Interview: Of Mind and Matter: David Attenborough Meets Richard Dawkins', The Guardian (11 Sep 2010).
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Judging from our experience upon this planet, such a history, that begins with elementary particles, leads perhaps inevitably toward a strange and moving end: a creature that knows, a science-making animal, that turns back upon the process that generated him and attempts to understand it. Without his like, the universe could be, but not be known, and this is a poor thing. Surely this is a great part of our dignity as men, that we can know, and that through us matter can know itself; that beginning with protons and electrons, out of the womb of time and the vastnesses of space, we can begin to understand; that organized as in us, the hydrogen, the carbon, the nitrogen, the oxygen, those 16-21 elements, the water, the sunlight—all having become us, can begin to understand what they are, and how they came to be.
In 'The Origins of Life', Proceedings of the National Academy of Sciences of the United States of America (1964), 52, 609-110.
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Just as the arts of tanning and dyeing were practiced long before the scientific principles upon which they depend were known, so also the practice of Chemical Engineering preceded any analysis or exposition of the principles upon which such practice is based.
In William H. Walker, Warren K. Lewis and William H. MacAdams, The Principles of Chemical Engineering (1923), Preface to 1st. edition, v.
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Know then thyself, presume not God to scan;
The proper study of Mankind is Man.
Plac'd on this isthmus of a middle state,
A being darkly wise, and rudely great:
With too much knowledge for the Sceptic side,
With too much weakness for the Stoic's pride,
He hangs between; in doubt to act, or rest;
In doubt to deem himself a God, or Beast;
In doubt his Mind or Body to prefer,
Born but to die, and reas'ning but to err;
Alike in ignorance, his reason such,
Whether he thinks too little, or too much:
Chaos of Thought and Passion, all confus'd;
Still by himself abus'd, or disabus'd;
Created half to rise, and half to fall;
Great lord of all things, yet a prey to all;
Sole judge of Truth, in endless Error hurl'd:
The glory, jest, and riddle of the world!
... Superior beings, when of late they saw
A mortal Man unfold all Nature's law,
Admir'd such wisdom in an earthly shape,
And shew'd a NEWTON as we shew an Ape.
'An Essay on Man' (1733-4), Epistle II. In John Butt (ed.), The Poems of Alexander Pope (1965), 516-7.
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Knowing how contented, free and joyful is life in the realms of science, one fervently wishes that many would enter their portals.
In The Principles of Chemistry (1891), Vol. 1, preface, footnote, ix, as translated from the Russian 5th edition by George Kamensky, edited by A. J. Greenaway.
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Knowing how hard it is to collect a fact, you understand why most people want to have some fun analyzing it.
Quoted in Fortune (May 1960), as cited in Maxine Block, Anna Herthe Rothe and Marjorie Dent Candee, Current Biography Yearbook 1963 (1964), 161.
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Knowing how things work is important, but I think that’s an incomplete view of what science literacy is or, at least, should be. Science literacy is an outlook. It’s more of a lens through which you observe what goes on around you.
From interview with interview with Marina Leight, 'Global Ideas from Pluto's Challenger', Converge Magazine (21 May 2009).
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Knowing is not understanding. There is a great difference between knowing and understanding: you can know a lot about something and not really understand it.
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Knowing reality means constructing systems of transformations that correspond, more or less adequately, to reality. … Knowledge, then, is a system of transformations that become progressively adequate.
In Richard Isadore Evans and Eleanor Duckworth (trans.), Jean Piaget: The Man and His Ideas (1973), xliv.
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Knowing the plumbing of the universe, intricate and awe-inspiring though that plumbing might be, is a far cry from discovering its purpose.
The Science of God: The Convergence of Scientific and Biblical Wisdom (1997, 2009), 18.
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Knowledge … is an unending adventure at the edge of uncertainty.
In The Ascent of Man, (1973), 367.
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Knowledge = relation.
Explanation = classification.
The outward world a hieroglyph.
In Sir William Withey Gull and Theodore Dyke Acland (ed.), A Collection of the Published Writings of William Withey Gull (1896), lii.
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Knowledge always desires increase; it is like fire which must first be kindled by some external agent, but which will afterward propagate itself.
…...
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Knowledge and ability must be combined with ambition as well as with a sense of honesty and a severe conscience. Every analyst occasionally has doubts about the accuracy of his results, and also there are times when he knows his results to be incorrect. Sometimes a few drops of the solution were spilt, or some other slight mistake made. In these cases it requires a strong conscience to repeat the analysis and to make a rough estimate of the loss or apply a correction. Anyone not having sufficient will-power to do this is unsuited to analysis no matter how great his technical ability or knowledge. A chemist who would not take an oath guaranteeing the authenticity, as well as the accuracy of his work, should never publish his results, for if he were to do so, then the result would be detrimental not only to himself, but to the whole of science.
Anleitung zur Quantitativen Analyse (1847), preface. F. Szabadvary, History of Analytical Chemistry (1966), trans. Gyula Svehla, 176.
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Knowledge and science is nothing but perception.
Plato
Tr. i. 392; Theset. 160 D. As indexed in Alfred Day, Summary and Analysis of the Dialogues of Plato (1870), 380.
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Knowledge and wisdom are indeed not identical; and every man’s experience must have taught him that there may be much knowledge with little wisdom, and much wisdom with little knowledge. But with imperfect knowledge it is difficult or impossible to arrive at right conclusions. Many of the vices, many of the miseries, many of the follies and absurdities by which human society has been infested and disgraced may be traced to a want of knowledge.
Presidential Address to Anniversary meeting of the Royal Society (30 Nov 1859), Proceedings of the Royal Society of London (1860), 10, 163.
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Knowledge and wisdom, far from being one,
Have ofttimes no connection. Knowledge dwells
In heads replete with thoughts of other men,
Wisdom in minds attentive to their own.
Knowledge is proud that he has learned so much,
Wisdom is humble that he knows no more.
The Task, Book 6, 'The Winter Walk at Noon' (published 1785). In William Cowper and Humphrey Sumner Milford (ed.), The Complete Poetical Works of William Cowper (1905), 221.
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Knowledge and wonder are the dyad of our worthy lives as intellectual beings. Voyager did wonders for our knowledge, but performed just as mightily in the service of wonder–and the two elements are complementary, not independent or opposed. The thought fills me with awe–a mechanical contraption that could fit in the back of a pickup truck, traveling through space for twelve years, dodging around four giant bodies and their associated moons, and finally sending exquisite photos across more than four light-hours of space from the farthest planet in our solar system.
…...
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Knowledge begets knowledge. The more I see, the more impressed I am not with what we know but with how tremendous the areas are as yet unexplored.
…...
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Knowledge comes by taking things apart, analysis. But wisdom comes by putting things together.
From The Role of Religion in Education. As cited in Braude’s Handbook of Stories for Toastmasters and Speakers (1975), 194.
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Knowledge comes, but wisdom lingers.
'Locksley Hall' (1842), collected in Alfred Tennyson and William James Rolfe (ed.) The Poetic and Dramatic Works of Alfred, Lord Tennyson (1898), 93.
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Knowledge conceald and not broached for a publicke use, is like to a pearelesse gemme interred in the center of the earth, whereof no man knows but he that hid it.
In 'To the Reader', The Optick Glass of Humors (1607), 10.
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Knowledge does not keep any better than fish. You may be dealing with knowledge of the old species, with some old truth; but somehow or other it must come to the students, as it were, just drawn out of the sea and with the freshness of its immediate importance.
In 'Universities and Their Function', The Aims of Education and Other Essays (1929), 98.
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Knowledge falters when imagination clips its wings or fears to use them.
'The Copernican Revolution', in The Quest for Certainty: A Study of the Relation of Knowledge and Action (1929), 294. Collected in John Dewey. Volume 4: The Later Works, 1925-1953: 1929 The Quest for Certainty (1984), 247.
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Knowledge has been accumulating at an ever increasing rate, and knowledge, once it is available, can be used for evil as well as for good. It was inevitable that a day would come when the expanding body of knowledge would sweep across the danger level. That day, as you know, has come—and passed. Knowledge is already available by means of which men could wreck the civilization of the world—and the growth of knowledge continues faster than ever before.
The Nature of Science and Other Lectures (1954), 4.
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Knowledge is a matter of science, and no dishonesty or conceit whatsoever is permissible. What is required is definitely the reverse—honesty and modesty.
In Quotations from Chairman Mao Tsetung (1966, 1972), 310.
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Knowledge is a process of piling up facts; wisdom lies in their simplification.
In Fischerisms (1930), 7.
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Knowledge is a sacred cow, and my problem will be how we can milk her while keeping clear of her horns.
In 'Teaching and Expanding Knowledge,' Science, December 4, 1964.
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Knowledge is an attitude, a passion, actually an illicit attitude. For the compulsion to know is just like dipsomania, erotomania, homicidal mania, in producing a character that is out of balance. It is not true that the scientist goes after truth. It goes after him.
In Der Mann ohne Eigenschafter (1930).
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Knowledge is indivisible. When people grow wise in one direction, they are sure to make it easier for themselves to grow wise in other directions as well. On the other hand, when they split up knowledge, concentrate on their own field, and scorn and ignore other fields, they grow less wise–even in their own field.
In The Roving Mind (1983), 116.
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Knowledge is invariably a matter of degree: you cannot put your finger upon even the simplest datum and say “this we know.”
From Knowledge and Experience in the Philosophy of F.H. Bradley (1964, 1989), 151.
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Knowledge is like a knife. In the hands of a well-balanced adult it is an instrument for good of inestimable value; but in the hands of a child, an idiot, a criminal, a drunkard or an insane man, it may cause havoc, misery, suffering and crime. Science and religion have this in common, that their noble aims, their power for good, have often, with wrong men, deteriorated into a boomerang to the human race.
In 'Applied Chemistry', Science (22 Oct 1915), New Series, 42, No. 1086, 548.
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Knowledge is limited. Imagination encircles the world.
…...
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Knowledge is more than equivalent to force.
In Hialmer Day Gould, New Practical Spelling (1905), 15.
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Knowledge is necessary too. A child with great intuition could not grow up to become something worthwhile in life without some knowledge. However there comes a point in everyone’s life where only intuition can make the leap ahead, without knowing precisely how.
As recollected from a visit some months earlier, and quoted in William Miller, 'Old Man’s Advice to Youth: “Never Lose a Holy Curiosity”', Life (2 May 1955), 64.
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Knowledge is never the exclusive possession of any favoured race; the whole world is inter-dependent and a constant stream of thought had through ages enriched the common heritage of mankind.
From 'Sir J.C. Bose’s Address', Benares Hindu University 1905-1935 (1936), 423-424.
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Knowledge is not happiness, and science
But an exchange of ignorance for that
Which is another kind of ignorance.
Manfred (1816), Act 2, Scene 4. In George Gordon Byron and Thomas Moore, The Works of Lord Byron (1837), 333.
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Knowledge is power.
[Editors' summary of Bacon's idea, not Bacon's wording.]
Bacon's original text is in Latin, so any quote seen in English is an interpretation by the translator. The dictum, expressed in three words as 'Knowledge is Power,' is only seen in notes to the texts made by translators or editors, and is not a direct translation of Bacon's written words. See, for example, the commentary by F. G. Selby (ed.) in The Advancement of Learning, Book 1, by Francis Bacon (1905), 140; or, the introductory notes by E. A. Abbott (ed.) in Bacon's Essays (1876), cxxxvii. For the best match in Bacon's original words, see Novum Organum Aphorism 3: Scientia et potentia humana in idem coincidunt,... or 'Human knowledge and human power meet in one;...'. The Latin form is in Thomas Fowler (ed.), Bacon's Novum Organum (2nd Ed., 1878), 188; and this translated form is in Francis Bacon and James Spedding (trans.), The Works of Francis Bacon (1864), Vol. 8, 67.
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Knowledge is the golden ladder over which we climb to heaven; knowledge is the light which illuminates our path through this life and leads to a future life of everlasting glory.
In his words, what he recalls his mother telling him as a boy, in From Immigrant to Inventor: An Example to Young Americans (1922, 1934), 12.
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Knowledge leads us from the simple to the complex; wisdom leads us from the complex to the simple.
Anonymous
In Dianna Daniels Booher, Your Signature Life: Pursuing God's Best Every Day (2003), 30.
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Knowledge must be gained by ourselves. Mankind may supply us with facts; but the results, even if they agree with previous ones, must be the work of our own minds.
The Young Duke (1831), 163-4.
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Knowledge of Nature is an account at bank, where each dividend is added to the principal and the interest is ever compounded; and hence it is that human progress, founded on natural knowledge, advances with ever increasing speed.
Concluding sentence of Address (11 Dec 1895) as President of the Geological Society, 'The Origin of Hypotheses, illustrated by the Discussion of a Topographical Problem', printed as Presidential Address of Grove Karl Gilbert (1896), 24. Also collected in Science (1896), 3, 13.
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Knowledge of physical science will not console me for ignorance of morality in time of affliction, but knowledge of morality will always console me for ignorance of physical science.
Pensées (1670), No. 23, translated by A. J. Krailsheimer (1995), 6.
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Knowledge of the laws of nature offers humankind the only chance of survival in a changing environment. … The search for knowledge gives expression to a basic curiosity which appears to be the salient defining characteristic of human beings.
From opening paragraph of Preface, Quasars, Redshifts and Controversies (1987).
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Knowledge once gained casts a faint light beyond its own immediate boundaries. There is no discovery so limited as not to illuminate something beyond itself.
In 'On the Methods and Tendencies of Physical Investigation', Scientific Addresses (1870), 7.
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Knowledge—it excites prejudices to call it science—is advancing as irresistibly, as majestically, as remorselessly as the ocean moves in upon the shore.
'The Poet at the Breakfast-Table', Chapter 10. The Atlantic Monthly (Oct 1872), 30, 428.
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Knowledge, feeling, and choice are essentially eternal and unchangeable and numerically one in all men, nay in all sensitive beings.
…...
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Knox was engaged in a theological discussion with scientist John Scott Haldane. “In a universe containing millions of planets,” reasoned Haldane, “is it not inevitable that life should appear on at least one of them?”
“Sir,” replied Knox, “if Scotland Yard found a body in your cabin trunk, would you tell them: ‘There are millions of trunks in the world; surely one of them must contain a body?’ I think they would still want to know who put it there.”
Quoted in Clifton Fadiman and André Bernard (eds.), Bartlett's Book of Anecdotes (2000), 324. See also Richard Hazelett and Dean Turner, Benevolent Living (1990), 49, citing John J. McAleer
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Later, I realized that the mission had to end in a let-down because the real barrier wasn’t in the sky but in our knowledge and experience of supersonic flight.
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Learn the leading precognita of all things—no need to turn over leaf by leaf, but grasp the trunk hard and you will shake all the branches.
Advice cherished by Samuel Johnson that that, if one is to master any subject, one must first discover its general principles.
Advice from Rev. Cornelius Ford, a distant cousin, quoted in John P. Hardy, Samuel Johnson: A Critical Study (1979), 29.
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Learning begets humility because the more a man knows, the more he discovers his ignorance.
Anonymous
In Hialmer Day Gould, New Practical Spelling (1905), 27
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Let me suggest to you a simple test one can apply to scientific activities to determine whether or not they can constitute the practice of physics. Is what you are doing beautiful? Many beautiful things are created without the use of physical knowledge, but I know of no really worthwhile physics that isn’t beautiful. Indeed, one of the most distressing symptoms of scientific illiteracy is the impression so often given to school children that science is a mechanistic activity subject to algorithmic description.
In 'Physics and the APS in 1979', Physics Today (Apr 1980), 33, No. 4, 50.
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Let us not, in the pride of our superior knowledge, turn with contempt from the follies of our predecessors. The study of the errors into which great minds have fallen in the pursuit of truth can never be uninstructive.
From Memoirs of Extraordinary Popular Delusions (1841), Vol. 3, 3.
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Let us now declare the means whereby our understanding can rise to knowledge without fear of error. There are two such means: intuition and deduction. By intuition I mean not the varying testimony of the senses, nor the deductive judgment of imagination naturally extravagant, but the conception of an attentive mind so distinct and so clear that no doubt remains to it with regard to that which it comprehends; or, what amounts to the same thing, the self-evidencing conception of a sound and attentive mind, a conception which springs from the light of reason alone, and is more certain, because more simple, than deduction itself. …
It may perhaps be asked why to intuition we add this other mode of knowing, by deduction, that is to say, the process which, from something of which we have certain knowledge, draws consequences which necessarily follow therefrom. But we are obliged to admit this second step; for there are a great many things which, without being evident of themselves, nevertheless bear the marks of certainty if only they are deduced from true and incontestable principles by a continuous and uninterrupted movement of thought, with distinct intuition of each thing; just as we know that the last link of a long chain holds to the first, although we can not take in with one glance of the eye the intermediate links, provided that, after having run over them in succession, we can recall them all, each as being joined to its fellows, from the first up to the last. Thus we distinguish intuition from deduction, inasmuch as in the latter case there is conceived a certain progress or succession, while it is not so in the former; … whence it follows that primary propositions, derived immediately from principles, may be said to be known, according to the way we view them, now by intuition, now by deduction; although the principles themselves can be known only by intuition, the remote consequences only by deduction.
In Rules for the Direction of the Mind, Philosophy of Descartes. [Torrey] (1892), 64-65.
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Let us see how high we can fly before the sun melts the wax in our wings.
About the ambitious pursuit of knowledge, alluding to Icarus of the Greek myth.
Consilience: The Unity of Knowledge (1999), 7.
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Let us suppose that an ichthyologist is exploring the life of the ocean. He casts a net into the water and brings up a fishy assortment. Surveying his catch, he proceeds in the usual manner of a scientist to systematise what it reveals. He arrives at two generalisations:
(1) No sea-creature is less than two inches long.
(2) All sea-creatures have gills.
These are both true of his catch, and he assumes tentatively that they will remain true however often he repeats it.
In applying this analogy, the catch stands for the body of knowledge which constitutes physical science, and the net for the sensory and intellectual equipment which we use in obtaining it. The casting of the net corresponds to observation; for knowledge which has not been or could not be obtained by observation is not admitted into physical science.
An onlooker may object that the first generalisation is wrong. “There are plenty of sea-creatures under two inches long, only your net is not adapted to catch them.” The icthyologist dismisses this objection contemptuously. “Anything uncatchable by my net is ipso facto outside the scope of icthyological knowledge. In short, what my net can't catch isn't fish.” Or—to translate the analogy—“If you are not simply guessing, you are claiming a knowledge of the physical universe discovered in some other way than by the methods of physical science, and admittedly unverifiable by such methods. You are a metaphysician. Bah!”
In 'Selective Subjectivism', The Philosophy of Physical Science (1938, 2012), 16.
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Let us tenderly and kindly cherish, therefore, the means of knowledge. Let us dare to read, think, speak, and write.
Dissertation on the Canon and Feudal Law (as it was later known), originally published untitled and with no author credited in the Boston Gazette (Aug 1765). Collected in John Adams and Charles Francis Adams (ed.), The Works of John Adams (1851), Vol. 3, 462.
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Let us then suppose the Mind to be, as we say, white Paper, void of all Characters, without any Ideas; How comes it to be furnished? Whence comes it by that vast store, which the busy and boundless Fancy of Man has painted on it, with an almost endless variety? Whence has it all the materials of Reason and Knowledge? To this I answer, in one word, from Experience: In that, all our Knowledge is founded; and from that it ultimately derives it self. Our Observation employ’d either about external, sensible Objects; or about the internal Operations of our Minds, perceived and reflected on by our selves, is that, which supplies our Understandings with all the materials of thinking.
In 'Of Ideas in general, and their Original', An Essay Concerning Human Understanding (1690), Book 2, Chap. 1, Sec. 2, 37.
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Liebig taught the world two great lessons. The first was that in order to teach chemistry it was necessary that students should be taken into a laboratory. The second lesson was that he who is to apply scientific thought and method to industrial problems must have a thorough knowledge of the sciences. The world learned the first lesson more readily than it learned the second.
Ira Remsen, Address to the Industrial Chemistry Society, Glasgow (1910). Quoted in Frederick Hutton Getman, The Life of Ira Remsen (1980), 121-122.
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Like all things of the mind, science is a brittle thing: it becomes absurd when you look at it too closely. It is designed for few at a time, not as a mass profession. But now we have megascience: an immense apparatus discharging in a minute more bursts of knowledge than humanity is able to assimilate in a lifetime. Each of us has two eyes, two ears, and, I hope, one brain. We cannot even listen to two symphonies at the same time. How do we get out of the horrible cacophony that assails our minds day and night? We have to learn, as others did, that if science is a machine to make more science, a machine to grind out so-called facts of nature, not all facts are equally worth knowing. Students, in other words, will have to learn to forget most of what they have learned. This process of forgetting must begin after each exam, but never before. The Ph.D. is essentially a license to start unlearning.
Voices In the Labyrinth: Nature, Man, and Science (1979), 2.
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Like buried treasures, the outposts of the universe have beckoned to the adventurous from immemorial times. Princes and potentates, political or industrial, equally with men of science, have felt the lure of the uncharted seas of space, and through their provision of instrumental means the sphere of exploration has made new discoveries and brought back permanent additions to our knowledge of the heavens.
From article by Hale in Harper's Magazine, 156, (1928), 639-646, in which he urged building a 200-inch optical telescope. Cited in Kenneth R. Lang, Parting the Cosmic Veil (2006), 82 and 210. Also in George Ellery Hale, Signals From the Stars (1931), 1.
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Like the crest of a peacock, like the gem on the head of a snake, so is mathematics at the head of all knowledge.
Anonymous
From the oldest extant Indian astronomical text, Vedanga Jyotisa (c. 500 B.C.). Quoted, as cited by George Gheverghese Joseph, in Dick Teresi, Lost Discoveries (2003), 28. G. G. Joseph has written a book by the title Crest of the Peacock (1991).
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Like unopened presents under the tree, the ocean is a treasure trove of knowledge.
In 'Why Exploring the Ocean is Mankind’s Next Giant Leap', contributed to CNN 'Lightyears Blog' (13 Mar 2012)
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Listen to the community: it’s defining its own problems, and may well know what to do about them.
As quoted in 'Aphorism of the Month', Journal of Epidemiology and Community Health (Nov 2007), 61, No. 11, 932.
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Little can be understood of even the simplest phenomena of nature without some knowledge of mathematics, and the attempt to penetrate deeper into the mysteries of nature compels simultaneous development of the mathematical processes.
In Teaching of Mathematics in the Elementary and the Secondary School (1906), 16.
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Look for knowledge not in books but in things themselves.
Non ex libris solum,sed ex rebus ipsis scientiam quaeritis.
In De Magnete, Magnetisque Corporibus, et de Magno Magnete Tellure, On the Magnet, Magnetic Bodies, and the Great Magnet Earth (1600). As translated in John Daintith, Biographical Encyclopedia of Scientists (2009), 291. A more literal translation is “Not only in books but in things themselves look for knowledge,” as translated by P. Fleury Mottelay (1893) in De Magnete (1958), xlix. Original Latin in De Magnete (1600), Praefatio, unpaginated second page of preface.
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Lord Kelvin had, in a manner hardly and perhaps never equalled before, except by Archimedes, the power of theorizing on the darkest, most obscure, and most intimate secrets of Nature, and at the same time, and almost in the same breath, carrying out effectively and practically some engineering feat, or carrying to a successful issue some engineering invention. He was one of the leaders in the movement which has compelled all modern engineers worthy of the name to be themselves men not merely of practice, but of theory, to carry out engineering undertakings in the spirit of true scientific inquiry and with an eye fixed on the rapidly growing knowledge of the mechanics of Nature, which can only be acquired by the patient work of physicists and mathematicians in their laboratories and studies.
In Speech (May 1921) to the Institute of Civil Engineers, to award the newly created Kelvin Medal. As quoted in Sarah Knowles Bolton, 'Lord Kelvin', Famous Men of Science (1889, Revised Ed. 1926), 316-317.
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Lord Kelvin was so satisfied with this triumph of science that he declared himself to be as certain of the existence of the ether as a man can be about anything.... “When you can measure what you are speaking about, and express it in numbers, you know something about it....” Thus did Lord Kelvin lay down the law. And though quite wrong, this time he has the support of official modern Science. It is NOT true that when you can measure what you are speaking about, you know something about it. The fact that you can measure something doesn't even prove that that something exists.... Take the ether, for example: didn't they measure the ratio of its elasticity to its density?
In Science is a Sacred Cow (1950), 69-70; 85.
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Magic is a faculty of wonderful virtue, full of most high mysteries, containing the most profound contemplation of most secret things, together with the nature, power, quality, substance and virtues thereof, as also the knowledge of whole Nature, and it doth instruct us concerning the differing and agreement of things amongst themselves, whence it produceth its wonderful effects, by uniting the virtues of things through the application of them one to the other.
In De Occulta Philosophia (1533), Vol. 1. Translation by J.F. (1651) reprinted as The Philosophy of Natural Magic (1913), 38-39.
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MAGNET, n. Something acted upon by magnetism.
MAGNETISM, n. Something acting upon a magnet.
The two definitions immediately foregoing are condensed from the works of one thousand eminent scientists, who have illuminated the subject with a great white light, to the inexpressible advancement of human knowledge.
The Collected Works of Ambrose Bierce (1911), Vol. 7, The Devil's Dictionary,  208.
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Man cannot have an effect on nature, cannot adopt any of her forces, if he does not know the natural laws in terms of measurement and numerical relations. Here also lies the strength of the national intelligence, which increases and decreases according to such knowledge. Knowledge and comprehension are the joy and justification of humanity; they are parts of the national wealth, often a replacement for the materials that nature has too sparcely dispensed. Those very people who are behind us in general industrial activity, in application and technical chemistry, in careful selection and processing of natural materials, such that regard for such enterprise does not permeate all classes, will inevitably decline in prosperity; all the more so were neighbouring states, in which science and the industrial arts have an active interrelationship, progress with youthful vigour.
Kosmos (1845), vol.1, 35. Quoted in C. C. Gillispie (ed.), Dictionary of Scientific Biography (1970), vol. 6, 552.
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Man has an intense desire for assured knowledge.
Quoted in P. A. Schilpp (ed.), The Philosophy of Bertrand Russell (1971), Vol. 1, 285.
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Man has undergone agonizing decentralization. He has waged a steady struggle against decentralization , but at the same time—paradoxically—his accumulated knowledge has gradually forced him to abandon all illusions about his centrality.
…...
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Man is an eating animal, a drinking animal, and a sleeping animal, and one placed in a material world, which alone furnishes all the human animal can desire. He is gifted besides with knowing faculties, practically to explore and to apply the resources of this world to his use. These are realities. All else is nothing; conscience and sentiment are mere figments of the imagination. Man has but five gates of knowledge, the five senses; he can know nothing but through them; all else is a vain fancy, and as for the being of a God, the existence of a soul, or a world to come, who can know anything about them? Depend upon it, my dear madam, these are only the bugbears by which men of sense govern fools.
Attributed to Darwin by Mary Anne Schimmelpennick. Quoted in Christiana C. Hankin (ed.) Life of Mary Anne Schimmelpenninck (1858), Vol. I, 241-2.
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Man is no new-begot child of the ape, bred of a struggle for existence upon brutish lines—nor should the belief that such is his origin, oft dinned into his ears by scientists, influence his conduct. Were he to regard himself as an extremely ancient type, distinguished chiefly by the qualities of his mind, and to look upon the existing Primates as the failures of his line, as his misguided and brutish collaterals, rather than as his ancestors, I think it would be something gained for the ethical outlook of Homo—and also it would be consistent with present knowledge.
The Origin of Man (1918), a pamphlet published by The Society for the Promotion of Christian Knowledge, reprinted in Arthur Dendy (ed.), Animal Life and Human Progress (1919), 131.
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Man is slightly nearer to the atom than to the star. … From his central position man can survey the grandest works of Nature with the astronomer, or the minutest works with the physicist. … [K]nowledge of the stars leads through the atom; and important knowledge of the atom has been reached through the stars.
Lecture 1. Stars and Atoms (1928, 2007), 9.
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Man was made to try. Afterward he’s free to keep or throw away what pleasures or what promise that he’s found. What knowledge gained or stumbled on can be discarded or retained.
In 'Reactions to Man’s Landing on the Moon Show Broad Variations in Opinions', The New York Times (21 Jul 1969), 6.
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Man, being the servant and interpreter of Nature, can do and understand so much and so much only as he has observed in fact or thought of the course of nature; beyond this he neither knows anything nor can do anything.
From Novum Organum (1620), Book 1, Aphorism 1. As translated from the original Latin, “Homo enim naturae minister et interpres tantum facit et intelligit, quantum de naturae ordine, opere vel mente, observaverit: nec amplius scit, aut potest.” in The New Organon: Aphorisms Concerning the Interpretation of Nature and the Kingdom of Man), collected in James Spedding, Robert Ellis and Douglas Heath (eds.), The Works of Francis Bacon (1857), Vol. 4, 47. Also seen translated as “Man, as the minister and interpreter of nature, is limited in act and understanding by his observation of the order of nature; neither his understanding nor his power extends farther,” in Robert Routledge, Discoveries and Inventions of the 19th Century (1891), 697.
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Man, by reason of his greater intellect, can more reasonably hope to equal birds in knowledge than to equal nature in the perfection of her machinery.
In The Papers of Wilbur and Orville Wright: 1899-1905 (1953), 15.
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Man, in his quest for knowledge and progress, is determined and cannot be deterred. The exploration of space will go ahead, whether we join in or not, and it is one of the great adventures of all time, and no nation which expects to be the leader of other nations can expect to stay behind in this race for space.
Address at Rice University in Houston (12 Sep 1962). On website of John F. Kennedy Presidential Library and Museum.
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Man, whose organization is regarded as the highest, departs from the vertebrate archetype; and it is because the study of anatomy is usually commenced from, and often confined to, his structure, that a knowledge of the archetype has been so long hidden from anatomists.
'The Lexington Papers', The Quarterly Review (1851), 89, 450-1.
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Man’s respect for knowledge is one of his most peculiar characteristics. Knowledge in Latin is scientia, and science came to be the name of the most respectable kind of knowledge.
In Radio Lecture (30 Jun 1973) broadcast by the Open University, collected in Imre Lakatos, John Worrall (ed.) and Gregory Currie (ed.), 'Introduction: Science and Pseudoscience', The Methodology of Scientific Research Programmes (1978, 1980), Vol. 1, 1.
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Many people know everything they know in the way we know the solution of a riddle after we have read it or been told it, and that is the worst kind of knowledge and the kind least to be cultivated; we ought rather to cultivate that kind of knowledge which enables us to discover for ourselves in case of need that which others have to read or be told of in order to know it.
Aphorism 89 in Notebook D (1773-1775), as translated by R.J. Hollingdale in Aphorisms (1990). Reprinted as The Waste Books (2000), 58.
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Many Species of Animals have been lost out of the World, which Philosophers and Divines are unwilling to admit, esteeming the Destruction of anyone Species a Dismembring of the Universe, and rendring the World imperfect; whereas they think the Divine Providence is especially concerned, and solicitous to secure and preserve the Works of the Creation. And truly so it is, as appears, in that it was so careful to lodge all Land Animals in the Ark at the Time of the general Deluge; and in that, of all Animals recorded in Natural Histories, we cannot say that there hath been anyone Species lost, no not of the most infirm, and most exposed to Injury and Ravine. Moreover, it is likely, that as there neither is nor can be any new Species of Animals produced, all proceeding from Seeds at first created; so Providence, without which one individual Sparrow falls not to the ground, doth in that manner watch over all that are created, that an entire Species shall not be lost or destroyed by any Accident. Now, I say, if these Bodies were sometimes the Shells and Bones of Fish, it will thence follow, that many Species have been lost out of the World... To which I have nothing to reply, but that there may be some of them remaining some where or other in the Seas, though as yet they have not come to my Knowledge. Far though they may have perished, or by some Accident been destroyed out of our Seas, yet the Race of them may be preserved and continued still in others.
John Ray
Three Physico-Theological Discourses (1713), Discourse II, 'Of the General Deluge, in the Days of Noah; its Causes and Effects', 172-3.
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Many years ago the great British explorer George Mallory, who was to die on Mount Everest, was asked why did he want to climb it. He said, “Because it is there.” Well, space is there, and we’re going to climb it, and the moon and the planets are there, and new hopes for knowledge and peace are there. And, therefore, as we set sail we ask God’s blessing on the most hazardous and dangerous and greatest adventure on which man has ever embarked.
From Address at Rice Stadium (12 Sep 1962). On website of John F. Kennedy Presidential Library and Museum. [This go-to-the-moon speech was largely written by presidential advisor and speechwriter Ted Sorensen.]
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Marriage is an ancient institution and most of our knowledge of antiquity is gleaned from shattered pottery.
Anonymous
In Evan Esar, 20,000 Quips & Quotes (1968, 1995), 40.
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Marx founded a new science: the science of history. … The sciences we are familiar with have been installed in a number of great “continents”. Before Marx, two such continents had been opened up to scientific knowledge: the continent of Mathematics and the continent of Physics. The first by the Greeks (Thales), the second by Galileo. Marx opened up a third continent to scientific knowledge: the continent of History.
In Lenin and Philosophy, and Other Writings (1971), 4.
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Marxist philosophy holds that the most important problem does not lie in understanding the laws of the objective world and thus being able to explain it, but in applying the knowledge of these laws actively to change the world.
From 'On Practice,' (Jul 1937), in Quotations from Chairman Mao Tse-Tung (2017), 106.
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Mathematical discoveries, small or great … are never born of spontaneous generation. They always presuppose a soil seeded with preliminary knowledge and well prepared by labour, both conscious and subconscious.
As given, without citation, in Eric Temple Bell, Men of Mathematics (1937), 548.
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Mathematical economics is old enough to be respectable, but not all economists respect it. It has powerful supporters and impressive testimonials, yet many capable economists deny that mathematics, except as a shorthand or expository device, can be applied to economic reasoning. There have even been rumors that mathematics is used in economics (and in other social sciences) either for the deliberate purpose of mystification or to confer dignity upon commonplaces as French was once used in diplomatic communications. …. To be sure, mathematics can be extended to any branch of knowledge, including economics, provided the concepts are so clearly defined as to permit accurate symbolic representation. That is only another way of saying that in some branches of discourse it is desirable to know what you are talking about.
In J.R. Newman (ed.), Commentary on Cournot, Jevons and the Mathematics of Money', The World of Mathematics (1956), Vol. 2, 1200.
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Mathematical knowledge is not—as all Cambridge men are surely aware—the result of any special gift. It is merely the development of those conceptions of form and number which every human being possesses; and any person of average intellect can make himself a fair mathematician if he will only pay continuous attention; in plain English, think enough about the subject.
'Science', a lecture delivered at the Royal Institution. The Works of Charles Kingsley (1880), 241.
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Mathematical knowledge, therefore, appears to us of value not only in so far as it serves as means to other ends, but for its own sake as well, and we behold, both in its systematic external and internal development, the most complete and purest logical mind-activity, the embodiment of the highest intellect-esthetics.
In 'Ueber Wert und angeblichen Unwert der Mathematik', Jahresbericht der Deutschen Mathematiker Vereinigung, Bd. 13, 381.
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Mathematical science is in my opinion an indivisible whole, an organism whose vitality is conditioned upon the connection of its parts. For with all the variety of mathematical knowledge, we are still clearly conscious of the similarity of the logical devices, the relationship of the ideas in mathematics as a whole and the numerous analogies in its different departments.
In 'Mathematical Problems', Bulletin American Mathematical Society, 8, 478.
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Mathematical studies … when combined, as they now generally are, with a taste for physical science, enlarge infinitely our views of the wisdom and power displayed in the universe. The very intimate connexion indeed, which, since the date of the Newtonian philosophy, has existed between the different branches of mathematical and physical knowledge, renders such a character as that of a mere mathematician a very rare and scarcely possible occurrence.
In Elements of the Philosophy of the Human Mind (1827), Vol. 3, Chap. 1, Sec. 3, 184.
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Mathematicians deal with possible worlds, with an infinite number of logically consistent systems. Observers explore the one particular world we inhabit. Between the two stands the theorist. He studies possible worlds but only those which are compatible with the information furnished by observers. In other words, theory attempts to segregate the minimum number of possible worlds which must include the actual world we inhabit. Then the observer, with new factual information, attempts to reduce the list further. And so it goes, observation and theory advancing together toward the common goal of science, knowledge of the structure and observation of the universe.
Lecture to Sigma Xi, 'The Problem of the Expanding Universe' (1941), printed in Sigma Xi Quarterly (1942), 30, 104-105. Reprinted in Smithsonian Institution Report of the Board of Regents (1943), 97, 123. As cited by Norriss S. Hetherington in 'Philosophical Values and Observation in Edwin Hubble's Choice of a Model of the Universe', Historical Studies in the Physical Sciences (1982), 13, No. 1, 63.
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Mathematics … above all other subjects, makes the student lust after knowledge, fills him, as it were, with a longing to fathom the cause of things and to employ his own powers independently; it collects his mental forces and concentrates them on a single point and thus awakens the spirit of individual inquiry, self-confidence and the joy of doing; it fascinates because of the view-points which it offers and creates certainty and assurance, owing to the universal validity of its methods. Thus, both what he receives and what he himself contributes toward the proper conception and solution of a problem, combine to mature the student and to make him skillful, to lead him away from the surface of things and to exercise him in the perception of their essence. A student thus prepared thirsts after knowledge and is ready for the university and its sciences. Thus it appears, that higher mathematics is the best guide to philosophy and to the philosophic conception of the world (considered as a self-contained whole) and of one’s own being.
In Die Mathematik die Fackelträgerin einer neuen Zeit (1889), 40. As translated in Robert Édouard Moritz, Memorabilia Mathematica; Or, The Philomath’s Quotation-book (1914), 49.
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Mathematics … certainly would never have come into existence if mankind had known from the beginning that in all nature there is no perfectly straight line, no true circle, no standard of measurement.
From 'Of the First and Last Things', All Too Human: A Book For Free Spirits (1878, 1908), Part 1, section 11, 31.
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Mathematics is a body of knowledge, but it contains no truths.
In Mathematics in Western Culture (1954), 9.
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Mathematics is the gate and key of the sciences. ... Neglect of mathematics works injury to all knowledge, since he who is ignorant of it cannot know the other sciences or the things of this world. And what is worse, men who are thus ignorant are unable to perceive their own ignorance and so do not seek a remedy.
In Opus Majus, Part 4, Distinctia Prima, cap. 1.
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Mathematics is the language of languages, the best school for sharpening thought and expression, is applicable to all processes in nature; and Germany needs mathematical gymnasia. Mathematics is God’s form of speech, and simplifies all things organic and inorganic. As knowledge becomes real, complete and great it approximates mathematical forms. It mediates between the worlds of mind and of matter.
Summarizing the ideas presented by Christian Heinrich Dillmann in Die Mathematik die Fackelträgerin einer neuen Zeit (1889). From book review, 'Recent Literature on Arithmetic and Arithmetical Teaching', in Granville Stanley Hall (ed.), The Pedagogical Seminary (1892), 2, 168. Dillmann’s book title translates as “Mathematics the Torchbearer of a New Era”. (However, Conant concluded that it was a “loosely-written, vague and incoherent book, which belies every anticipation awakened by its attractive title.”)
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Mathematics knows no races or geographic boundaries; for mathematics, the cultural world is one country.
In H. Eves, Mathematical Circles Squared (1972). As cited in Anton Zettl, Sturm-Liouville Theory (2005), 171.
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Mathematics, among all school subjects, is especially adapted to further clearness, definite brevity and precision in expression, although it offers no exercise in flights of rhetoric. This is due in the first place to the logical rigour with which it develops thought, avoiding every departure from the shortest, most direct way, never allowing empty phrases to enter. Other subjects excel in the development of expression in other respects: translation from foreign languages into the mother tongue gives exercise in finding the proper word for the given foreign word and gives knowledge of laws of syntax, the study of poetry and prose furnish fit patterns for connected presentation and elegant form of expression, composition is to exercise the pupil in a like presentation of his own or borrowed thoughtsand their development, the natural sciences teach description of natural objects, apparatus and processes, as well as the statement of laws on the grounds of immediate sense-perception. But all these aids for exercise in the use of the mother tongue, each in its way valuable and indispensable, do not guarantee, in the same manner as mathematical training, the exclusion of words whose concepts, if not entirely wanting, are not sufficiently clear. They do not furnish in the same measure that which the mathematician demands particularly as regards precision of expression.
In Anleitung zum mathematischen Unterricht in höheren Schulen (1906), 17.
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Measurement has too often been the leitmotif of many investigations rather than the experimental examination of hypotheses. Mounds of data are collected, which are statistically decorous and methodologically unimpeachable, but conclusions are often trivial and rarely useful in decision making. This results from an overly rigorous control of an insignificant variable and a widespread deficiency in the framing of pertinent questions. Investigators seem to have settled for what is measurable instead of measuring what they would really like to know.
'Patient Care—Mystical Research or Researchable Mystique/', Clinical Research (1964), 12, no. 4, 422.
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Meat-eating has not, to my knowledge, been recorded from other parts of the chimpanzee’s range in Africa, although if it is assumed that human infants are in fact taken for food, the report that five babies were carried off in West Africa suggests that carnivorous behavior may be widespread.
In 'Chimpanzees of the Gombe Stream Reserve', collected in Primate Behavior: Field Studies of Monkeys and Apes (1965), 473.
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Mechanical Notation ... I look upon it as one of the most important additions I have made to human knowledge. It has placed the construction of machinery in the rank of a demonstrative science. The day will arrive when no school of mechanical drawing will be thought complete without teaching it.
Passages From the Life of a Philosopher (1864), 452.
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Medicine deals with the states of health and disease in the human body. It is a truism of philosophy that a complete knowledge of a thing can only be obtained by elucidating its causes and antecedents, provided, of course, such causes exist. In medicine it is, therefore, necessary that causes of both health and disease should be determined.
Avicenna
'Concerning the Subject-Matter of Medicine', in The Canon of Medicine, adapted by L. Bakhtiar (1999), 11.
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Medicine is a science of experience; its object is to eradicate diseases by means of remedies. The knowledge of disease, the knowledge of remedies and the knowledge of their employment, constitute medicine.
In 'The Medicine of Experience' (1805), collected in R.E. Dudgeon (ed., trans.) The Lesser Writings of Samuel Hahnemann (1851), 501.
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Medicine rests upon four pillars—philosophy, astronomy, alchemy, and ethics. The first pillar is the philosophical knowledge of earth and water; the second, astronomy, supplies its full understanding of that which is of fiery and airy nature; the third is an adequate explanation of the properties of all the four elements—that is to say, of the whole cosmos—and an introduction into the art of their transformations; and finally, the fourth shows the physician those virtues which must stay with him up until his death, and it should support and complete the three other pillars.
Vas Buch Paragranum (c.1529-30), in J. Jacobi (ed.), Paracelsus: Selected Writings (1951), 133-4.
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Mediocre men often have the most acquired knowledge. It is in the darker. It is in the darker regions of science that great men are recognized; they are marked by ideas which light up phenomena hitherto obscure and carry science forward.
From An Introduction to the Study of Experimental Medicine (1865), as translated by Henry Copley Greene (reprint 1999), 42.
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Men of science have made abundant mistakes of every kind; their knowledge has improved only because of their gradual abandonment of ancient errors, poor approximations, and premature conclusions.
In A History of Science: Volume 2: Hellenistic Science and Culture in the Last Three Centuries B.C. (1959), xi.
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Men who do not know the truth of things try to reach certainty about them, so that, if they cannot satisfy their intellects by science, their wills at least may rest on conscience.
In The New Science (3rd ed., 1744), Book 1, Para. 137, as translated by Thomas Goddard Bergin and Max Harold Fisch, The New Science of Giambattista Vico (1948), 56.
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Men will gather knowledge no matter what the consequences. Science will go on whether we are pessimistic or optimistic, as I am. More interesting discoveries than we can imagine will be made, and I am awaiting them, full of curiosity and enthusiasm.
'Dr Linus Pauling, Atomic Architect', Science Illustrated (1948), 3, 40.
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Mere knowledge is comparatively worthless unless digested into practical wisdom and common sense as applied to the affairs of life.
As quoted, without citation, in John Walker, A Fork in the Road: Answers to Daily Dilemmas from the Teachings of Jesus Christ (2005), 71.
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Metaphor is important because to deal with, understand, and even ameliorate the fix we are now in over global change requires us to know the true nature of the Earth and imagine it as the largest living thing in the solar system, not something inanimate like that disreputable contraption ‘spaceship Earth’.
In The Revenge of Gaia: Earth’s Climate Crisis & The Fate of Humanity (2006, 2007), 21.
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Metaphysics. The science to which ignorance goes to learn its knowledge, and knowledge to learn its ignorance. On which all men agree that it is the key, but no two upon how it is to be put into the lock.
Lest remark in letter to Dr. Whewell (25 May 1850), collected in Sophia Elizabeth De Morgan (ed.), Memoir of Augustus De Morgan (1882), 210.
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Modern civilization depends on science … James Smithson was well aware that knowledge should not be viewed as existing in isolated parts, but as a whole, each portion of which throws light on all the other, and that the tendency of all is to improve the human mind, and give it new sources of power and enjoyment … narrow minds think nothing of importance but their own favorite pursuit, but liberal views exclude no branch of science or literature, for they all contribute to sweeten, to adorn, and to embellish life … science is the pursuit above all which impresses us with the capacity of man for intellectual and moral progress and awakens the human intellect to aspiration for a higher condition of humanity.
[Joseph Henry was the first Secretary of the Smithsonian Institution, named after its benefactor, James Smithson.]
The first clause is inscribed on the National Museum of American History, Washington, D.C. In Library of Congress, Respectfully Quoted: A Dictionary of Quotations (1989), 313. From 'On the Smithsonian Institution', (Aug 1853), Proceedings of the Third Session of the American Association for the Advancement of Education (1854), 101.
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Modern physics has changed nothing in the great classical disciplines of, for instance, mechanics, optics, and heat. Only the conception of hitherto unexplored regions, formed prematurely from a knowledge of only certain parts of the world, has undergone a decisive transformation. This conception, however, is always decisive for the future course of research.
In Philosophical Problems of Nuclear Science: Eight Lectures (1952), 18.
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Modern Science has along with the theory that the Earth dated its beginning with the advent of man, swept utterly away this beautiful imagining. We can, indeed, find no beginning of the world. We trace back events and come to barriers which close our vistabarriers which, for all we know, may for ever close it. They stand like the gates of ivory and of horn; portals from which only dreams proceed; and Science cannot as yet say of this or that dream if it proceeds from the gate of horn or from that of ivory.
In short, of the Earth's origin we have no certain knowledge; nor can we assign any date to it. Possibly its formation was an event so gradual that the beginning was spread over immense periods. We can only trace the history back to certain events which may with considerable certainty be regarded as ushering in our geological era.
John Joly
Lecture at the Royal Dublin Society, 6 Feb 1914. Published in Science Progress, Vol. 9, 37. Republished in The Birth-Time of the World and Other Scientific Essays, (1915), 2.
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Modern war, even from the consideration of physical welfare, is not creative. Soldiers and civilians alike are supposed to put on mental khaki. … War means the death of that fertile war which consists of the free, restless conflict of ideas. The war which matters is that of the scientist with nature; of the farmer with the tawny desert; of … philosopher against … mob stupidity. Such war is creative. … Inventions that further life and joy; freedom; new knowledge, whether Luther Burbank’s about the breeding of fruits or Einstein's about relativity; great cathedrals and Beethoven's music: these modern mechanical war can destroy but never produce. At its most inventive height, war creates the Maxim gun, the submarine, disseminable germs of disease, life-blasting gases. Spiritually and intellectually, modern war is not creative.
From ‘The Stagnation of War’, in Allen D. Hole (ed.) The Messenger of Peace (Nov 1924), 49, No. 11, 162-163.
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Money. It has such an inherent power to run itself clear of taint that human ingenuity cannot devise the means of making it work permanent mischief, any more than means can be found of torturing people beyond what they can bear. Even if a man founds a College of Technical Instruction, the chances are ten to one that no one will be taught anything and that it will have been practically left to a number of excellent professors who will know very well what to do with it.
Samuel Butler, Henry Festing Jones (ed.), The Note-Books of Samuel Butler (1917), 221.
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More about the selection theory: Jerne meant that the Socratic idea of learning was a fitting analogy for 'the logical basis of the selective theories of antibody formation': Can the truth (the capability to synthesize an antibody) be learned? If so, it must be assumed not to pre-exist; to be learned, it must be acquired. We are thus confronted with the difficulty to which Socrates calls attention in Meno [ ... ] namely, that it makes as little sense to search for what one does not know as to search for what one knows; what one knows, one cannot search for, since one knows it already, and what one does not know, one cannot search for, since one does not even know what to search for. Socrates resolves this difficulty by postulating that learning is nothing but recollection. The truth (the capability to synthesize an antibody) cannot be brought in, but was already inherent.
'The Natural Selection Theory', in John Cairns, Gunther S. Stent, and James D. Watson (eds.) Phage and the Origins of Molecular Biology (1966), 301.
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More than any other kind of knowledge we fear knowledge of ourselves, knowledge that might transform our self-esteem and our self-image.
In The Psychology of Science: A Reconnaissance (1966), 16.
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More than any other product of human scientific culture scientific knowledge is the collective property of all mankind.
In On Aggression (2002), 279.
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More than ever before in the history of science and invention, it is safe now to say what is possible and what is impossible. No one would claim for a moment that during the next five hundred years the accumulated stock of knowledge of geography will increase as it has during the last five hundred In the same way it may safely be affirmed that in electricity the past hundred years is not likely to be duplicated in the next, at least as to great, original, and far-reaching discoveries, or novel and almost revolutionary applications.
In A Century of Electricity (1890), 223.
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Moreover, I am now well-informed about that part of the country to be traversed, as I can acquire the most exact information from the Nubian leaders, who are truly well-versed in regional knowledge, and thus supported in my route I could determine positions with the greatest certainty. I could not do this before, as one only learns how to interpret the statements of the Nubians by undertaking such a journey.
In August Petermann, Petermann’s Geographische Mittheilungen (1871), 16. As quoted and cited in Kathrin Fritsch, '"You Have Everything Confused And Mixed Up…!" Georg Schweinfurth, Knowledge And Cartography Of Africa In The 19th Century', History in Africa (2009), 36, 94. Fritsch comments on his changed “acknowledgement of the quality of indigenous knowledge.”
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Moreover, the works already known are due to chance and experiment rather than to sciences; for the sciences we now possess are merely systems for the nice ordering and setting forth of things already invented; not methods of invention or directions for new works.
From Novum Organum (1620), Book 1, Aphorism 8. Translated as The New Organon: Aphorisms Concerning the Interpretation of Nature and the Kingdom of Man), collected in James Spedding, Robert Ellis and Douglas Heath (eds.), The Works of Francis Bacon (1857), Vol. 4, 48.
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Most advances in science come when a person for one reason or another is forced to change fields.
Viewing a new field with fresh eyes, and bringing prior knowledge, results in creativity.
Quoted in Roger Von Oech, A Whack on the Side of the Head (1982), 71. (Berger is credited in the Introduction in a listed of people providing ideas and suggestions.) In Cheryl Farr, Jim Rhode, Newsletters, Patients and You (1985), 142.
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Most of the knowledge and much of the genius of the research worker lie behind his selection of what is worth observing. It is a crucial choice, often determining the success or failure of months of work, often differentiating the brilliant discoverer from an otherwise admirable but entirely unproductive plodder.
The Furtherance of Medical Research (1941), 8.
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Most students treat knowledge as a liquid to be swallowed rather than as a solid to be chewed, and then wonder why it provides so little nourishment.
Seen around the web, but without citation. Webmaster has so far been unable to authenticate. Please contact Webmaster if you know the primary source.
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Mr. [Granville T.] Woods says that he has been frequently refused work because of the previous condition of his race, but he has had great determination and will and never despaired because of disappointments. He always carried his point by persistent efforts. He says the day is past when colored boys will be refused work only because of race prejudice. There are other causes. First, the boy has not the nerve to apply for work after being refused at two or three places. Second, the boy should have some knowledge of mechanics. The latter could be gained at technical schools, which should be founded for the purpose. And these schools must sooner or later be established, and thereby, we should be enabled to put into the hands of our boys and girls the actual means of livelihood.
From William J. Simmons, Men of Mark: Eminent, Progressive and Rising (1887), 108.
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Mr. Auld … forbade Mrs. Auld to instruct me further, telling her … “A [slave] should know nothing but to obey his master… If you teach that [slave] (speaking of myself) how to read, there would be no keeping him. It would forever unfit him to be a slave.”
In autobiography, Narrative Of The Life Of Frederick Douglass (1851), 35. Often seen restated as “Knowledge makes a man unfit to be a slave.” [Webmaster has substituted “[slave]” in the subject quotation above, where the original text had a word much spoken in that period, but is now regarded too offensive to use.]
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Much is said about the progress of science in these centuries. I should say that the useful results of science had accumulated, but that there had been no accumulation of knowledge, strictly speaking, for posterity; for knowledge is to be acquired only by corresponding experience. How can be know what we are told merely? Each man can interpret another’s experience only by his own.
In A Week on the Concord and Merrimack Rivers (1862), 384.
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My deeply held belief is that if a god of anything like the traditional sort exists, our curiosity and intelligence were provided by such a god…on the other hand if such a god does not exist then our curiosity and intelligence are the essential tools for survival. In either case the enterprise of knowledge is essential for the welfare of the human species.
In Broca’s Brain: Reflections on the Romance of Science (1979), 341.
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My first knowledge of chemistry was gained as a schoolboy at Oberlin, Ohio, from reading a book on chemistry which my father studied in college in the forties. I still have the book.
In 'The Perkin Medal Award', The Journal of Industrial and Engineering Chemistry (Mar 1911), 3, No. 3, 146.
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My profession often gets bad press for a variety of sins, both actual and imagined: arrogance, venality, insensitivity to moral issues about the use of knowledge, pandering to sources of funding with insufficient worry about attendant degradation of values. As an advocate for science, I plead ‘mildly guilty now and then’ to all these charges. Scientists are human beings subject to all the foibles and temptations of ordinary life. Some of us are moral rocks; others are reeds. I like to think (though I have no proof) that we are better, on average, than members of many other callings on a variety of issues central to the practice of good science: willingness to alter received opinion in the face of uncomfortable data, dedication to discovering and publicizing our best and most honest account of nature’s factuality, judgment of colleagues on the might of their ideas rather than the power of their positions.
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My task was to show the psychologists that it is possible to apply physiological knowledge to the phenomena of psychical life.
'Reflexes of the Brain', Selected Works (1935), 335-6.
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My visceral perception of brotherhood harmonizes with our best modern biological knowledge ... Many people think (or fear) that equality of human races represents a hope of liberal sentimentality probably squashed by the hard realities of history. They are wrong. This essay can be summarized in a single phrase, a motto if you will: Human equality is a contingent fact of history. Equality is not true by definition; it is neither an ethical principle (though equal treatment may be) nor a statement about norms of social action. It just worked out that way. A hundred different and plausible scenarios for human history would have yielded other results (and moral dilemmas of enormous magnitude). They didn’t happen.
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Natural knowledge has not forgone emotion. It has simply taken for itself new ground of emotion, under impulsion from and in sacrifice to that one of its 'values', Truth.
Man on His Nature (1940), 404.
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Nature does not know extinction; all it knows is transformation. … Everything science has taught me—and continues to teach me—strengthens my belief in the continuity of our spiritual existence after death. Nothing disappears without a trace.
Wehner von Braun article in This Week Magazine (24 Jan 1960), 2. Excerpted in Viola Walden, Sword Scrapbook (1980), 66.
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Nature is silent only to those who know not how to interrogate her—to the man of inquisitive mind she offers ample instruction.
From Introduction to a Course of Lectures on Natural History: Delivered in the University of Pennsylvania, Nov. 16, 1799 (1800), 16.
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Nature never “fails.” Nature complies with its own laws. Nature is the law. When Man lacks understanding of Nature’s laws and a Man-contrived structure buckles unexpectedly, it does not fail. It only demonstrates that Man did not understand Nature’s laws and behaviors. Nothing failed. Man’s knowledge or estimating was inadequate.
In "How Little I Know", in Saturday Review (12 Nov 1966), 152. Excerpted in Buckminster Fuller and Answar Dil, Humans in Universe (1983), 31.
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Nature when more shy in one, hath more freely confest and shewn herself in another; and a Fly sometimes hath given greater light towards the true knowledge of the structure and the uses of the Parts in Humane Bodies, than an often repeated dissection of the same might have done … We must not therefore think the meanest of the Creation vile or useless, since that in them in lively Characters (if we can but read) we may find the knowledge of a Deity and ourselves … In every Animal there is a world of wonders; each is a Microcosme or a world in it self.
Phocrena, or the Anatomy of a Porpess, dissected at Gresham College: With a Prreliminary Discourse Concerning Anatomy, and a Natural History of Animals (1680), 2-3.
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Nature's economy shall be the base for our own, for it is immutable, but ours is secondary. An economist without knowledge of nature is therefore like a physicist without knowledge of mathematics.
'Tankar om grunden til oeconomien', 1740, 406. Trans. Lisbet Koerner, Linnaeus: Nature and Nation (1999), 103.
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Necessity is not the mother of invention. Knowledge and experiment are its parents. It sometimes happens that successful search is made for unknown materials to fill well-recognized and predetermined requirements. It more often happens that the acquirement of knowledge of the previously unknown properties of a material suggests its trial for some new use. These facts strongly indicate the value of knowledge of properties of materials and indicate a way for research.
Quoted in Guy Suits, 'Willis Rodney Whitney', National Academy of Sciences, Biographical Memoirs (1960), 357.
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Neither the absolute nor the relative size of the brain can be used to measure the degree of mental ability in animal or in man. So far as man is concerned, the weights of the brains or the volumes of the cranial cavities of a hundred celebrities of all branches of knowledge all over the world have been listed. … At the bottom of those lists are Gall, the famous phrenologist, Anatole France, the French novelist, and Gambetta, the French statesman, each with about 1,100 cc brain mass. The lists are topped by Dean Jonathan Swift, the English writer, Lord Byron, the English poet, and Turgenev, the Russian novelist, all with about 2,000 cc … Now our mental test! Had Turgenev really twice the mental ability of Anatole France?
In 'The Human Brain in the Light of Its Phylogenetic Development', Scientific Monthly (Aug 1948), 67, No. 2, 104-105. Collected in Sherwood Larned Washburn and ‎Davida Wolffson (eds.), The Shorter Anthropological Papers of Franz Weidenreich Published in the Period 1939-1948: A Memorial Volume (1949), 18.
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Never any knowledge was delivered in the same order it was invented.
'Of the Interpretation of Nature' (c.1603) in James Spedding, Robert Ellis and Douglas Heath (eds.), The Works of Francis Bacon (1887-1901), Vol. 3, 248.
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Nevertheless, scientific method is not the same as the scientific spirit. The scientific spirit does not rest content with applying that which is already known, but is a restless spirit, ever pressing forward towards the regions of the unknown, and endeavouring to lay under contribution for the special purpose in hand the knowledge acquired in all portions of the wide field of exact science. Lastly, it acts as a check, as well as a stimulus, sifting the value of the evidence, and rejecting that which is worthless, and restraining too eager flights of the imagination and too hasty conclusions.
'The Scientific Spirit in Medicine: Inaugural Sessional Address to the Abernethian Society', St. Bartholomew's Hospital Journal, 1912, 20, 19.
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New knowledge is not like a cistern, soon emptied, but is a fountain of almost unlimited power and duration.
In 'Unattained but Attainable Truths of NatureThe Art of Scientific Discovery: Or, The General Conditions and Methods of Research in Physics and Chemistry (1878), 27.
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Nirvana is a state of pure blissful knowledge ... It has nothing to do with the individual. The ego or its separation is an illusion. Indeed in a certain sense two ‘I’s are identical namely when one disregards all special contents–their Karma. The goal of man is to preserve his Karma and to develop it further ... when man dies his Karma lives and creates for itself another carrier.
…...
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No degree of commitment to beliefs makes them knowledge.
In Radio Lecture (30 Jun 1973) broadcast by the Open University, collected in Imre Lakatos, John Worrall (ed.) and Gregory Currie (ed.), 'Introduction: Science and Pseudoscience', The Methodology of Scientific Research Programmes (1978, 1980), Vol. 1, 1.
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No engineer can go upon a new work and not find something peculiar, that will demand his careful reflection, and the deliberate consideration of any advice that he may receive; and nothing so fully reveals his incapacity as a pretentious assumption of knowledge, claiming to understand everything.
In Railway Property: A Treatise on the Construction and Management of Railways (1866), 247.
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No history of civilization can be tolerably complete which does not give considerable space to the explanation of scientific progress. If we had any doubts about this, it would suffice to ask ourselves what constitutes the essential difference between our and earlier civilizations. Throughout the course of history, in every period, and in almost every country, we find a small number of saints, of great artists, of men of science. The saints of to-day are not necessarily more saintly than those of a thousand years ago; our artists are not necessarily greater than those of early Greece; they are more likely to be inferior; and of course, our men of science are not necessarily more intelligent than those of old; yet one thing is certain, their knowledge is at once more extensive and more accurate. The acquisition and systematization of positive knowledge is the only human activity which is truly cumulative and progressive. Our civilization is essentially different from earlier ones, because our knowledge of the world and of ourselves is deeper, more precise, and more certain, because we have gradually learned to disentangle the forces of nature, and because we have contrived, by strict obedience to their laws, to capture them and to divert them to the gratification of our own needs.
Introduction to the History of Science (1927), Vol. 1, 3-4.
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No knowledge can be more satisfactory to a man than that of his own frame, its parts, their functions and actions.
Letter (7 Oct 1814) to Thomas Cooper. Collected in The Writings of Thomas Jefferson: Correspondence (1854), 390.
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No man can reveal to you aught but that which already lies half asleep in the dawning of your knowledge.
In Kahlil Gibran: The Collected Works (2007), 134.
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No man of science wants merely to know. He acquires knowledge to appease his passion for discovery. He does not discover in order to know, he knows in order to discover.
In 'Technical Education and Its Relation to Science and Literature', The Aims of Education: & Other Essays (1917), 74.
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No Man’s Knowledge here, can go beyond his Experience.
An Essay Concerning Human Understanding (1690). Edited by Peter Nidditch (1975), Book 2, Chapter 1, Section 19, 115.
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No more harmful nonsense exists than the common supposition that deepest insight into great questions about the meaning of life or the structure of reality emerges most readily when a free, undisciplined, and uncluttered (read, rather, ignorant and uneducated) mind soars above mere earthly knowledge and concern.
…...
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No more impressive warning can be given to those who would confine knowledge and research to what is apparently useful, than the reflection that conic sections were studied for eighteen hundred years merely as an abstract science, without regard to any utility other than to satisfy the craving for knowledge on the part of mathematicians, and that then at the end of this long period of abstract study, they were found to be the necessary key with which to attain the knowledge of the most important laws of nature.
In Introduction to Mathematics (1911), 136-137.
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No one can know and understand everything. Even individual scientists are ignorant about most of the body of scientific knowledge, and it is not simply that biologists do not understand quantum mechanics.
From review, 'Billions and Billions of Demons', of the book, The Demon-Haunted World: Science as a Candle in the Dark, by Carl Sagan, in New York Review of Books (9 Jan 1997).
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No one has yet been found so firm of mind and purpose as resolutely to compel himself to sweep away all theories and common notions, and to apply the understanding, thus made fair and even, to a fresh examination of particulars. Thus it happens that human knowledge, as we have it, is a mere medley and ill-digested mass, made up of much credulity and much accident, and also of the childish notions which we at first imbibed.
In Novum Organum (1620), Book 2, Aphorism 20.
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No one in his senses, or imbued with the slightest knowledge of physics, will ever think that the earth, heavy and unwieldy from its own weight and mass, staggers up and down around its own center and that of the sun; for at the slightest jar of the earth, we would see cities and fortresses, towns and mountains thrown down.
Universae Naturae Theatrum (1597). In Dorothy Stimson, The Gradual Acceptance of the Copernican Theory of the Universe (1917), 45.
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No part of the world can be truly understood without a knowledge of its garment of vegetation, for this determines not only the nature of the animal inhabitants but also the occupations of the majority of human beings.
The Red Man's Continent: A Chronicle of Aboriginal America (1919), 88.
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No path leads from a knowledge of that which is to that which should be.
'The Goal' lecture at Princeton University (1939), quoted in Philipp Frank and George Rosen, Einstein (2002), 287.
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No science doth make known the first principles whereon it buildeth; but they are always taken as plain and manifest in themselves, or as proved and granted already, some former knowledge having made them evident.
In The of Mr. Richard Hooker in Eight Books Of the Laws of Ecclesiastical Polity (1723), Book 3, 69.
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No scientist knows the world merely by holding it at arm’s length: if we ever managed to build the objectivist wall between the knower and the known, we could know nothing except the wall itself.
In The Courage to Teach: Exploring the Inner Landscape of a Teacher’s Life (1998), 54.
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No society has ever yet been able to handle the temptations of technology, to mastery, to waste, to exuberance, to exploration and exploitation. We have to create something new, something that has never existed in the world before. We have to learn to cherish this Earth and cherish it as something that is fragile, that’s only one, that’s all we have, and we have to set up a system that is sufficiently complex to continue to monitor the whole. We have to use our scientific knowledge to correct the dangers that have come from science and technology.
Speaking at the first Earth Day (22 Apr 1970). As quoted in Hans Baer, ‎Merrill Singer, The Anthropology of Climate Change: An Integrated Critical (2014), 23.
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Nobody knows how the stand of our knowledge about the atom would be without him. Personally, [Niels] Bohr is one of the amiable colleagues I have met. He utters his opinions like one perpetually groping and never like one who believes himself to be in possession of the truth.
Quoted in Bill Becker, 'Pioneer of the Atom', New York Times Sunday Magazine (20 Oct 1957), 52.
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Nobody knows more than a tiny fragment of science well enough to judge its validity and value at first hand. For the rest he has to rely on views accepted at second hand on the authority of a community of people accredited as scientists. But this accrediting depends in its turn on a complex organization. For each member of the community can judge at first hand only a small number of his fellow members, and yet eventually each is accredited by all. What happens is that each recognizes as scientists a number of others by whom he is recognized as such in return, and these relations form chains which transmit these mutual recognitions at second hand through the whole community. This is how each member becomes directly or indirectly accredited by all. The system extends into the past. Its members recognize the same set of persons as their masters and derive from this allegiance a common tradition, of which each carries on a particular strand.
Personal Knowledge (1958), 163.
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Nomenclature, the other foundation of botany, should provide the names as soon as the classification is made... If the names are unknown knowledge of the things also perishes... For a single genus, a single name.
Philosophia Botanica (1751), aphorism 210. Trans. Frans A. Stafleu, Linnaeus and the Linnaeans: The Spreading of their Ideas in Systematic Botany, 1735-1789 (1971), 80.
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Not ignorance, but ignorance of ignorance is the death of knowledge. [Attributed]
As quoted in a number of sources, but usually without further citation, for example, in Wordsworth Dictionary of Quotations (1998), 459. Webmaster so far cannot confirm, so if you know the primary source, please make contact.
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Not to know what has been transacted in former times is to be always a child. If no use is made of the labors of past ages, the world must remain always in the infancy of knowledge.
In Samuel Johnson and Arthur Murphy, The works of Samuel Johnson (1837), 237.
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Nothing in Nature is random. … A thing appears random only through the incompleteness of our knowledge.
Ethics I. Quoted in Robert M. Gray and Lee D. Davisson, introduction to statistical signal processing (2004), x.
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Nothing is known in our profession by guess; and I do not believe, that from the first dawn of medical science to the present moment, a single correct idea has ever emanated from conjecture: it is right therefore, that those who are studying their profession should be aware that there is no short road to knowledge; and that observation on the diseased living, examination of the dead, and experiments upon living animals, are the only sources of true knowledge; and that inductions from these are the sole bases of legitimate theory.
Astley Paston Cooper, Astley Cooper, Bransby Blake Cooper, A Treatise on Dislocations and Fractures of the Joints (1851), 155.
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Nothing is more incontestable than the existence of our sensations; … they are the principle of all our knowledge.
From Discours préliminaire de l’Encyclopédie, collect in Œvres d’Alembert: Tome Premier (1821), 19. Translated from the original French, “Rien n'est plus incontestable que l’existence de nos sensations; … elles sont le principe de toutes nos connaissances.”
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Nothing is really small; whoever is open to the deep penetration of nature knows this.
Victor Hugo and Charles E. Wilbour (trans.), Les Misérables (1862), 41.
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Nothing tends so much to the advancement of knowledge as the application of a new instrument. The native intellectual powers of men in different times are not so much the causes of the different success of their labors, as the peculiar nature of the means and artificial resources in their possession.
In Elements of Chemical Philosophy (1812), Vol. 1, Part 1, 28.
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Now I feel as if I should succeed in doing something in mathematics, although I cannot see why it is so very important… The knowledge doesn’t make life any sweeter or happier, does it?
In Letter (29 May 1898), at age almost 18, to Mrs. Lawrence Hutton, excerpted in The Story of My Life: With her Letters (1887-1901) (1903, 1921), 242.
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Now if we want poets to interpret physical science as Milton and Shelley did (Shelley and Keats were the last English poets who were at all up-to-date in their chemical knowledge), we must see that our possible poets are instructed, as their masters were, in science and economics.
In Daedalus or Science and the Future (1924). Reprinted in Haldane's Daedalus Revisited (1995), 31.
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Now that we know nature thoroughly, a child can see that in making experiments we are simply paying nature compliments. It is no more than a ceremonial ritual. We know the answers in advance. We consult nature in the same way as great rulers consult their parliaments.
Aphorism 67 in Notebook E (1775-1776), as translated by R.J. Hollingdale in Aphorisms (1990). Reprinted as The Waste Books (2000), 73.
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Now, in the development of our knowledge of the workings of Nature out of the tremendously complex assemblage of phenomena presented to the scientific inquirer, mathematics plays in some respects a very limited, in others a very important part. As regards the limitations, it is merely necessary to refer to the sciences connected with living matter, and to the ologies generally, to see that the facts and their connections are too indistinctly known to render mathematical analysis practicable, to say nothing of the complexity.
From article 'Electro-magnetic Theory II', in The Electrician (16 Jan 1891), 26, No. 661, 331.
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O telescope, instrument of knowledge, more precious than any sceptre.
Letter to Galileo (1610). Quoted in Timothy Ferris, Coming of Age in the Milky Way (2003), 95.
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Occurrences that other men would have noted only with the most casual interest became for Whitney exciting opportunities to experiment. Once he became disturbed by a scientist's seemingly endless pursuit of irrelevant details in the course of an experiment, and criticized this as being as pointless as grabbing beans out of a pot, recording the numbers, and then analyzing the results. Later that day, after he had gone home, his simile began to intrigue him, and he asked himself whether it would really be pointless to count beans gathered in such a random manner. Another man might well have dismissed this as an idle fancy, but to Whitney an opportunity to conduct an experiment was not to be overlooked. Accordingly, he set a pot of beans beside his bed, and for several days each night before retiring he would take as many beans as he could grasp in one hand and make a note of how many were in the handful. After several days had passed he was intrigued to find that the results were not as unrewarding as he had expected. He found that each handful contained more beans than the one before, indicating that with practice he was learning to grasp more and more beans. “This might be called research in morphology, the science of animal structure,” he mused. “My hand was becoming webbed … so I said to myself: never label a real experiment useless, it may reveal something unthought of but worth knowing.”
'Willis Rodney Whitney', National Academy of Sciences, Biographical Memoirs (1960), 358-359.
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Of all the frictional resistances, the one that most retards human movement is ignorance, what Buddha called 'the greatest evil in the world.' The friction which results from ignorance ... can be reduced only by the spread of knowledge and the unification of the heterogeneous elements of humanity. No effort could be better spent.
In 'The Problem of Increasing Human Energy', Century Illustrated Monthly Magazine (Jun 1900), 60, 182.
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Of power does Man possess no particle:
Of knowledge—just so much as show that still
It ends in ignorance on every side…
'With Francis Furini', The Complete Poetic and Dramatic Works of Robert Browning (1895), 967.
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Of what use is it that your mind has become a vast granary of knowledge, if you have not strength to turn the key?
In Getting on in the World; Or, Hints on Success in Life (1873), 56.
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On all questions where his passions are strongly engaged, man prizes certitude and fears knowledge. Dispassionate inquiry is welcomed only when the result is indifferent.
In Aspects of Science (1925), 9.
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On my tests I used to always give as my first question, define chemistry, because I thought every student should know what they were taking. I do this quite often.
In address, to the Economic Club of Detroit (14 Jan 1990), 'Where Do We Go From Here?' on the massiechairs.com website.
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On the question of the world as a whole, science founders. For scientific knowledge the world lies in fragments, the more so the more precise our scientific knowledge becomes.
Kleine Schule des philosophischen Denkens (1965), trans. R. F. C. Hull and G. Wels, Philosophy is for Everyman: A Short Course in Philosophical Thinking (1969), 8.
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Once early in the morning, at two or three in the morning, when the master was asleep, the books in the library began to quarrel with each other as to which was the king of the library. The dictionary contended quite angrily that he was the master of the library because without words there would be no communication at all. The book of science argued stridently that he was the master of the library for without science there would have been no printing press or any of the other wonders of the world. The book of poetry claimed that he was the king, the master of the library, because he gave surcease and calm to his master when he was troubled. The books of philosophy, the economic books, all put in their claims, and the clamor was great and the noise at its height when a small low voice was heard from an old brown book lying in the center of the table and the voice said, “The Lord is my shepherd, I shall not want.” And all of the noise and the clamor in the library ceased, and there was a hush in the library, for all of the books knew who the real master of the library was.
'Ministers of Justice', address delivered to the Eighty-Second Annual Convention of the Tennessee Bar Association at Gatlinburg (5 Jun 1963). In Tennessee Law Review (Fall 1963), 31, No. 1, 19.
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Once regarded as the herald of enlightenment in all spheres of knowledge, science is now increasingly seen as a strictly instrumental system of control. Its use as a means of social manipulation and its role in restricting human freedom now parallel in every detail its use as a means of natural manipulation.
In The Ecology of Freedom (1982).
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One always finds among men who are reputed to be reasonable some evidence of this tendency to inquire into the reason of things; of this desire to know not simply how things are, but why they are one way rather than another; and, consequently, of this awareness of a relation which is not gained through the senses, this notion of an abstract bond by virtue of which one thing is subordinated to another which determines and explains it.
From Essai sur les Fondements de nos Connaissances et sur les Caractères de la Critique Philosophique (1851), 21, as translated by Merritt H Moore in An Essay on the Foundations of Our Knowledge (1956), 18. From the original French: “Toujours est-il que, chez tous les hommes réputés raisonnables, on retrouve, à certains degrés, cette tendance à s’enquérir de la raison des choses; ce désir de connaître, non pas seulement comment les choses sont, mais pourquoi elles sont de telle façon plutôt que d’une autre; et, partant, cette intelligence d’un rapport qui ne tombe pas sous les sens; cette notion d’un lien abstrait en vertu duquel une chose est subordonnée à une autre qui la détermine et qui l’explique.”
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One and all
We lend an ear—nay, Science takes thereto—
Encourages the meanest who has racked
Nature until he gains from her some fact,
To state what truth is from his point of view,
Mere pin-point though it be: since many such
Conduce to make a whole, she bids our friend
Come forward unabashed and haply lend
His little life-experience to our much
Of modern knowledge.
'With Francis Furini', The Complete Poetic and Dramatic Works of Robert Browning (1895), 967.
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One cause of the error may be for want of a proper knowledge of the remote past. Here, as elsewhere, ’tis distance lends enchantment to the view. We fail to make due allowance for the refractive nature of the medium through which we are compelled to view the past. We naturally magnify the greatness of that which is remote. By this the imagination is addressed rather than the understanding. The dim and shadowing figures of the past are clothed in glorious light, and pigmies appear as giants.
From speech (20 Nov 1883) delivered to the Bethel Literary and Historical Association, Washington D.C.,'It Moves, or Philosophy of Reform' , collected in The Essential Douglass: Selected Writings and Speeches (2016), 288.
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One hardly knows where, in the history of science, to look for an important movement that had its effective start in so pure and simple an accident as that which led to the building of the great Washington telescope, and went on to the discovery of the satellites of Mars.
In The Reminiscences of an Astronomer (1903), Vol. 3, 128.
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One might be led to question whether the scientists acted wisely in presenting the statesmen of the world with this appalling problem. Actually there was no choice. Once basic knowledge is acquired, any attempt at preventing its fruition would be as futile as hoping to stop the earth from revolving around the sun.
'Atomic Energy for Power', Collected Papers (Note e Memorie): The United States 1939-1945 (1962), Vol. 2, 556.
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One never finds fossil bones bearing no resemblance to human bones. Egyptian mummies, which are at least three thousand years old, show that men were the same then. The same applies to other mummified animals such as cats, dogs, crocodiles, falcons, vultures, oxen, ibises, etc. Species, therefore, do not change by degrees, but emerged after the new world was formed. Nor do we find intermediate species between those of the earlier world and those of today's. For example, there is no intermediate bear between our bear and the very different cave bear. To our knowledge, no spontaneous generation occurs in the present-day world. All organized beings owe their life to their fathers. Thus all records corroborate the globe's modernity. Negative proof: the barbaritY of the human species four thousand years ago. Positive proof: the great revolutions and the floods preserved in the traditions of all peoples.
'Note prese al Corso di Cuvier. Corso di Geologia all'Ateneo nel 1805', quoted in Pietro Corsi, The Age of Lamarck, trans. J. Mandelbaum (1988), 183.
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One of my friends, reading the title of these lectures [The Whence and Whither of Man] said: “Of man's origin you know nothing, of his future you know less.”
From the Introduction to The Whence and Whither of Man; a Brief History of his Origin and Development through Conformity to Environment; being the Morse Lectures of 1895. (1896), ix. The Morse lectureship was founded by Prof. Samuel F.B. Morse in 1865 at Union Theological Seminary, the lectures to deal with “the relation of the Bible to any of the sciences.”
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One of the great challenges in this world is knowing enough about a subject to think you’re right, but not enough about the subject to know you’re wrong.
From video trailer, 'Neil deGrasse Tyson Teaches Scientific Thinking and Communication', Masterclass (19 Dec 2019)
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One of the great problems of philosophy, is the relationship between the realm of knowledge and the realm of values. Knowledge is what is; values are what ought to be. I would say that all traditional philosophies up to and including Marxism have tried to derive the “ought” from the “is.” My point of view is that this is impossible, this is a farce.
Quoted in John C. Hess, 'French Nobel Biologist Says World Based On Chance', New York Times (15 Mar 1971), 6. Cited in Barbara Bennett, Linda Amster, Who Said what (and When, and Where, and How) in 1971 (1972, 168.
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One of the greatest gifts science has brought to the world is continuing elimination of the supernatural, and it was a lesson that my father passed on to me, that knowledge liberates mankind from superstition. We can live our lives without the constant fear that we have offended this or that deity who must be placated by incantation or sacrifice, or that we are at the mercy of devils or the Fates. With increasing knowledge, the intellectual darkness that surrounds us is illuminated and we learn more of the beauty and wonder of the natural world.
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One of the principal objects of theoretical research in my department of knowledge is to find the point of view from which the subject appears in its greatest simplicity.
In letter published in Proceedings of the American Academy of Arts and Sciences (1881), 420.
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Richard P. Feynman quote: One of the ways of stopping science would be only to do experiments in the region where you know the l
One of the ways of stopping science would be only to do experiments in the region where you know the law. … In other words we are trying to prove ourselves wrong as quickly as possible, because only in that way can we find progress.
In The Character of Physical Law (1965, 2001), 158.
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One should guard against inculcating a young man with the idea that success is the aim of life, for a successful man normally receives from his peers an incomparably greater portion than the services he has been able to render them deserve. The value of a man resides in what he gives and not in what he is capable of receiving. The most important motive for study at school, at the university, and in life is the pleasure of working and thereby obtaining results which will serve the community. The most important task for our educators is to awaken and encourage these psychological forces in a young man {or woman}. Such a basis alone can lead to the joy of possessing one of the most precious assets in the world - knowledge or artistic skill.
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One should guard against preaching to the young man success in the customary sense as the aim in life. ... The most important motive for work in school and in life is pleasure in work, pleasure in its result, and the knowledge of the value of the result to the community.
'On Education', address at the State University of New York, Albany (15 Oct 1936) in celebration of the Tercentenary of Higher Education in America, translation prepared by Lina Arronet. In Albert Einstein, The Einstein Reader (2006), 30.
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One striking peculiarity of mathematics is its unlimited power of evolving examples and problems. A student may read a book of Euclid, or a few chapters of Algebra, and within that limited range of knowledge it is possible to set him exercises as real and as interesting as the propositions themselves which he has studied; deductions which might have pleased the Greek geometers, and algebraic propositions which Pascal and Fermat would not have disdained to investigate.
In 'Private Study of Mathematics', Conflict of Studies and other Essays (1873), 82.
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One-story intellects, two-story intellects, three-story intellects with skylights. All fact-collectors, who have no aim beyond their facts, are one-story men. Two-story men compare, reason, generalize, using the labors of the fact-collectors as well as their own. Three-story men idealize, imagine, predict; their best illumination comes from above, through the skylight. There are minds with large ground-floors, that can store an infinite amount of knowledge; some librarians, for instance, who know enough of books to help other people, without being able to make much other use of their knowledge, have intellects of this class. Your great working lawyer has two spacious stories; his mind is clear, because his mental floors are large, and he has room to arrange his thoughts so that lie can get at them,—facts below, principles above, and all in ordered series; poets are often narrow below, incapable of clear statement, and with small power of consecutive reasoning, but full of light, if sometimes rather bare of furniture, in the attics.
The Poet at the Breakfast Table (1883), 50.
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Only those works which are well-written will pass to posterity: the amount of knowledge, the uniqueness of the facts, even the novelty of the discoveries are no guarantees of immortality ... These things are exterior to a man but style is the man himself.
'Discours prononcé dans l'Académie française, Le Samedi 25 Aout 1753', Histoire Naturelle, Générale et Particulière, Avec la Description du Cabinet du Roi (1753), Vol. 7, xvi-xvii.
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Only time and money stand between us and knowing the composition of every gene in the human genome.
(1986).
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Only to often on meeting scientific men, even those of genuine distiction, one finds that they are dull fellows and very stupid. They know one thing to excess; they know nothing else. Pursuing facts too doggedly and unimaginatively, they miss all the charming things that are not facts. ... Too much learning, like too little learning, is an unpleasant and dangerous thing.
A Second Mencken Chrestomathy: A New Selection from the Writings of America's Legendary Editor, Critic, and Wit (2006), 157.
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Ordinary knowledge is awareness of external facts; ordinary belief, conviction on inadequate grounds.
In On Love & Psychological Exercises: With Some Aphorisms & Other Essays (1998), 57.
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Our confused wish finds expression in the confused question as to the nature of force and electricity. But the answer which we want is not really an answer to this question. It is not by finding out more and fresh relations and connections that it can be answered; but by removing the contradictions existing between those already known, and thus perhaps by reducing their number. When these painful contradictions are removed, the question as to the nature of force will not have been answered; but our minds, no longer vexed, will cease to ask illegitimate questions.
Principles of Mechanics (1899), 7-8.
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Our ignorance is God; what we know is science. When we abandon the doctrine that some infinite being created matter and force, and enacted a code of laws for their government ... the real priest will then be, not the mouth-piece of some pretended deity, but the interpreter of nature.
In The Gods, and Other Lectures, (1874), 56.
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Our immediate interests are after all of but small moment. It is what we do for the future, what we add to the sum of man's knowledge, that counts most. As someone has said, 'The individual withers and the world is more and more.' Man dies at 70, 80, or 90, or at some earlier age, but through his power of physical reproduction, and with the means that he has to transmit the results of effort to those who come after him, he may be said to be immortal.
'Willis Rodney Whitney', National Academy of Sciences, Biographical Memoirs (1960), 360.
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Our knowledge can only be finite, while our ignorance must necessarily be infinite.
Essy, 'On the Sources of Knowledge and of Ignorance', in Conjectures and Refutations: The Growth of Scientific Knowledge (1962), 28.
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Our knowledge is composed not of facts, but of the relations which facts and ideas bear to themselves and to each other; and real knowledge consists not in an acquaintance with facts, which only makes a pedant, but in the use of facts, which makes a philosopher.
Lecture (19 Mar 1858) at the Royal Institution, 'The Influence Of Women On The Progress Of Knowledge', collected in The Miscellaneous and Posthumous Works of Henry Thomas Buckle (1872), Vol. 1, 4. Published in Frazier’s Magazine (Apr 1858).
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Our knowledge is the amassed thought and experience of innumerable minds.
In Hialmer Day Gould, New Practical Spelling (1905), 15.
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Our knowledge must always be limited, but the knowable is limitless. The greater the sphere of our knowledge the greater the surface of contact with our infinite ignorance.
Conclusion of the James Forrest Lecture (3 May 1894) at an Extra Meeting of the Institution of Civil Engineers, 'The Relation of Mathematics to Engineering', collected in Minutes of Proceedings of the Institution of Civil Engineers (1894), 347.
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Our knowledge of stars and interstellar matter must be based primarily on the electromagnetic radiation which reaches us. Nature has thoughtfully provided us with a universe in which radiant energy of almost all wave lengths travels in straight lines over enormous distances with usually rather negligible absorption.
In 'Flying Telescopes', Bulletin of the Atomic Scientists (May 1961), Vol. 17, No. 5, 191.
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Our knowledge of the external world must always consist of numbers, and our picture of the universe—the synthesis of our knowledge—must necessarily be mathematical in form. All the concrete details of the picture, the apples, the pears and bananas, the ether and atoms and electrons, are mere clothing that we ourselves drape over our mathematical symbols— they do not belong to Nature, but to the parables by which we try to make Nature comprehensible. It was, I think, Kronecker who said that in arithmetic God made the integers and man made the rest; in the same spirit, we may add that in physics God made the mathematics and man made the rest.
From Address (1934) to the British Association for the Advancement of Science, Aberdeen, 'The New World—Picture of Modern Physics'. Printed in Nature (Sep 1934) 134, No. 3384, 356. As quoted and cited in Wilbur Marshall Urban, Language and Reality: The Philosophy of Language and the Principles of Symbolism (2004), Vol. 15, 542.
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Our knowledge regarding this important and fascinating question [about Kennewick Man] is based upon the scientific study of less than a dozen specimens found over the last 100 years. Furthermore, most of the specimens over 8,000 years old are either poorly preserved or are subadults and, therefore, much less informative than well preserved specimens.
From 'Mystery of the First Americans: Claims for the Remains: C. Vance Haynes, Jr.', web page on pbs.org website.
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Our knowledge springs from two fundamental sources of the mind; the first is the capacity of receiving representations (receptivity for impressions), the second is the power of knowing an object through these representations (spontaneity [in the production] of concepts).
Critique of Pure Reason (1781), trans. Norman Kemp Smith (1929), 92.
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Our mind is so fortunately equipped, that it brings us the most important bases for our thoughts without our having the least knowledge of this work of elaboration. Only the results of it become unconscious.
cit. L.L. Whyte The Unconscious Before Freud (1960)
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Our model of Nature should not be like a building—a handsome structure for the populace to admire, until in the course of time some one takes away a corner stone and the edifice comes toppling down. It should be like an engine with movable parts. We need not fix the position of any one lever; that is to be adjusted from time to time as the latest observations indicate. The aim of the theorist is to know the train of wheels which the lever sets in motion—that binding of the parts which is the soul of the engine.
In 'The Internal Constitution of the Stars', The Scientific Monthly (Oct 1920), 11, No. 4, 302.
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Our science is a drop, our ignorance a sea. Whatever else be certain, this at least is certain—that the world of our present natural knowledge is enveloped in a larger world of some sort of whose residual properties we at present can frame no positive idea.
In Address to Harvard Young Men’s Christian Association, 'Is Life Worth Living?', collected in The Will to Believe and other Essays in Popular Philosophy, (1897, 2006), 54. Published earlier in International Journal of Ethics (Oct 1895).
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Our time is distinguished by wonderful achievements in the fields of scientific understanding and the technical application of those insights. Who would not be cheered by this? But let us not forget that human knowledge and skills alone cannot lead humanity to a happy and dignified life. Humanity has every reason to place the proclaimers of high moral standards and values above the discoverers of objective truth. What humanity owes to personalities like Buddha, Moses, and Jesus ranks for me higher than all the achievements of the inquiring constructive mind.
(Sep 1937). In Helen Dukas and Banesh Hoffman (eds.), Albert Einstein, the Human Side (1979), 70. The editors state that except being unrelated to “a ‘Preaching Mission’, nothing of any consequence is known of the circumstances that prompted its composition.”
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Our treasure lies in the beehives of our knowledge. We are perpetually on our way thither, being by nature winged insects and honey gatherers of the mind. The only thing that lies close to our heart is the desire to bring something home to the hive.
The Genealogy of Morals (1887), as translated by Francis Golffing (1956), 149. In another translation, by Maudemarie Clark and Alan J. Swensen, it appears as: “It has rightly been said: ‘where your treasure is, there will your heart be also’; our treasure is where the beehives of our knowledge stand. We are forever underway towards them, as born winged animals and honey-gathers of the spirit, concerned will all our heart about only one thing—"bringing home" something.”
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Out of the interaction of form and content in mathematics grows an acquaintance with methods which enable the student to produce independently within certain though moderate limits, and to extend his knowledge through his own reflection. The deepening of the consciousness of the intellectual powers connected with this kind of activity, and the gradual awakening of the feeling of intellectual self-reliance may well be considered as the most beautiful and highest result of mathematical training.
In 'Ueber Wert und angeblichen Unwert der Mathematik', Jahresbericht der Deutschen Mathematiker Vereinigung (1904), 374.
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Owing to his lack of knowledge, the ordinary man cannot attempt to resolve conflicting theories of conflicting advice into a single organized structure. He is likely to assume the information available to him is on the order of what we might think of as a few pieces of an enormous jigsaw puzzle. If a given piece fails to fit, it is not because it is fraudulent; more likely the contradictions and inconsistencies within his information are due to his lack of understanding and to the fact that he possesses only a few pieces of the puzzle. Differing statements about the nature of things, differing medical philosophies, different diagnoses and treatments—all of these are to be collected eagerly and be made a part of the individual's collection of puzzle pieces. Ultimately, after many lifetimes, the pieces will fit together and the individual will attain clear and certain knowledge.
'Strategies of Resort to Curers in South India', contributed in Charles M. Leslie (ed.), Asian Medical Systems: A Comparative Study (1976), 185.
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Part of the strength of science is that it has tended to attract individuals who love knowledge and the creation of it.
Just as important to the integrity of science have been the unwritten rules of the game. These provide recognition and approbation for work which is imaginative and accurate, and apathy or criticism for the trivial or inaccurate. … Thus, it is the communication process which is at the core of the vitality and integrity of science.
Editorial, 'The Roots of Scientific Integrity', Science (1963), 3561. In Bulletin of the Atomic Scientists (May 1965), 29.
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Penicillin .. has stimulated the search for other antibiotics and may lead to further productive study of the metabolism of microorganisms and the enzymes by which they act. From such knowledge should come not only new weapons for fighting germs but better, more rational use of those we already have.
Concluding sentences in Jane Stafford, 'Penicillin', The American Scholar (Autumn 1944), 13, No. 4, 478.
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Perhaps the most surprising thing about mathematics is that it is so surprising. The rules which we make up at the beginning seem ordinary and inevitable, but it is impossible to foresee their consequences. These have only been found out by long study, extending over many centuries. Much of our knowledge is due to a comparatively few great mathematicians such as Newton, Euler, Gauss, or Riemann; few careers can have been more satisfying than theirs. They have contributed something to human thought even more lasting than great literature, since it is independent of language.
Quoted in a space filler, without citation, in The Pentagon: A Mathematics Magazine for Students (Fall 1951), 11, No. 1, 12. Primary source needed (can you help).
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Persecution is used in theology, not in arithmetic, because in arithmetic there is knowledge, but in theology there is only opinion. So whenever you find yourself getting angry about a difference of opinion, be on your guard, you will probably find, on examination, that your belief is going beyond what the evidence warrants?
In An Outline of Intellectual Rubbish (1943), 22.
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Philosophers of science constantly discuss theories and representation of reality, but say almost nothing about experiment, technology, or the use of knowledge to alter the world. This is odd, because ‘experimental method’ used to be just another name for scientific method.... I hope [to] initiate a Back-to-Bacon movement, in which we attend more seriously to experimental science. Experimentation has a life of its own.
Representing and Intervening, p. 149f (1983). Announcing the author's intention to stress 'intervening' as an essential component of science.
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Philosophy is that part of science which at present people chose to have opinions about, but which they have no knowledge about. Therefore every advance in knowledge robs philosophy of some problems which formerly it had …and will belong to science.
'The Philosophy of Logical Atomism' (1918). In Betrand Russell and Robert Charles Marsh (Ed.), Logic and Knowledge: Essays, 1901-1950 (1988), 281.
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Philosophy stands in need of a science which shall determine the possibility, principles, and extent of human knowledge à priori.
Critique of Pure Reason, translated by John Miller Dow Meiklejohn (1899), 4.
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Physical concepts are free creations of the human mind, and are not, however it may seem, uniquely determined by the external world. In our endeavour to understand reality we are somewhat like a man trying to understand the mechanism of a closed watch. He sees the face and the moving hands, even hears its ticking, but he has no way of opening the case. If he is ingenious he may form some picture of a mechanism which could be responsible for all the things he observes, but he may never be quite sure his picture is the only one which could explain his observations. He will never be able to compare his picture with the real mechanism and he cannot even imagine the possibility or the meaning of such a comparison. But he certainly believes that, as his knowledge increases, his picture of reality will become simpler and simpler and will explain a wider and wider range of his sensuous impressions. He may also believe in the existence of the ideal limit of knowledge and that it is approached by the human mind. He may call this ideal limit the objective truth.
Albert Einstein and Leopold Infeld, The Evolution of Physics (1938), 33.
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Physical science comes nearest to that complete system of exact knowledge which all sciences have before them as an ideal. Some fall far short of it. The physicist who inveighs against the lack of coherence and the indefiniteness of theological theories, will probably speak not much less harshly of the theories of biology and psychology. They also fail to come up to his standard of methodology. On the other side of him stands an even superior being—the pure mathematician—who has no high opinion of the methods of deduction used in physics, and does not hide his disapproval of the laxity of what is accepted as proof in physical science. And yet somehow knowledge grows in all these branches. Wherever a way opens we are impelled to seek by the only methods that can be devised for that particular opening, not over-rating the security of our finding, but conscious that in this activity of mind we are obeying the light that is in our nature.
Swarthmore Lecture (1929) at Friends’ House, London, printed in Science and the Unseen World (1929), 77-78.
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Physical science enjoys the distinction of being the most fundamental of the experimental sciences, and its laws are obeyed universally, so far as is known, not merely by inanimate things, but also by living organisms, in their minutest parts, as single individuals, and also as whole communities. It results from this that, however complicated a series of phenomena may be and however many other sciences may enter into its complete presentation, the purely physical aspect, or the application of the known laws of matter and energy, can always be legitimately separated from the other aspects.
In Matter and Energy (1912), 9-10.
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Physicists speak of the particle representation or the wave representation. Bohr's principle of complementarity asserts that there exist complementary properties of the same object of knowledge, one of which if known will exclude knowledge of the other. We may therefore describe an object like an electron in ways which are mutually exclusive—e.g., as wave or particle—without logical contradiction provided we also realize that the experimental arrangements that determine these descriptions are similarly mutually exclusive. Which experiment—and hence which description one chooses—is purely a matter of human choice.
The Cosmic Code: Quantum Physics as the Language of Nature (1982), 94.
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Poets say science takes away from the beauty of the stars—mere globs of gas atoms. Nothing is “mere.” I too can see the stars on a desert night, and feel them. But do I see less or more? The vastness of the heavens stretches my imagination—stuck on this carousel my little eye can catch one-million-year-old light. A vast pattern—of which I am a part. … What is the pattern, or the meaning, or the “why?” It does not do harm to the mystery to know a little about it. For far more marvelous is the truth than any artists of the past imagined it. Why do the poets of the present not speak of it? What men are poets who can speak of Jupiter if he were a man, but if he is an immense spinning sphere of methane and ammonia must be silent?
In 'Astronomy', The Feynman Lectures on Physics (1961), Vol. 1, 3-6, footnote.
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Positive, objective knowledge is public property. It can be transmitted directly from one person to another, it can be pooled, and it can be passed on from one generation to the next. Consequently, knowledge accumulates through the ages, each generation adding its contribution. Values are quite different. By values, I mean the standards by which we judge the significance of life. The meaning of good and evil, of joy and sorrow, of beauty, justice, success-all these are purely private convictions, and they constitute our store of wisdom. They are peculiar to the individual, and no methods exist by which universal agreement can be obtained. Therefore, wisdom cannot be readily transmitted from person to person, and there is no great accumulation through the ages. Each man starts from scratch and acquires his own wisdom from his own experience. About all that can be done in the way of communication is to expose others to vicarious experience in the hope of a favorable response.
The Nature of Science and Other Lectures (1954), 7.
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Positivism is a theory of knowledge according to which the only kind of sound knowledge available to human kind is that if science grounded in observation.
(1891). As given as an epigraph in M.J. Vinod and Meena Deshpande, Contemporary Political Theory (2013), 3.
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Positivism stands or falls with the principle of scientism, that is that the meaning of knowledge is defined by what the sciences do and can thus be adequately explicated through the methodological analysis of scientific procedures.
Knowledge and Human Interests (1968), 67.
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Preferring a search for objective reality over revelation is another way of satisfying religious hunger. It is an endeavor almost as old as civilization and intertwined with traditional religion, but it follows a very different course—a stoic’s creed, an acquired taste, a guidebook to adventure plotted across rough terrain. It aims to save the spirit, not by surrender but by liberation of the human mind. Its central tenet, as Einstein knew, is the unification of knowledge. When we have unified enough certain knowledge, we will understand who we are and why we are here. If those committed to the quest fail, they will be forgiven. When lost, they will find another way.
In Consilience: The Unity of Knowledge (1998), 5.
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Prejudgments become prejudices only if they are not reversible when exposed to new knowledge.
In The Nature of Prejudice (1954, 1958), 9.
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Probability is expectation founded upon partial knowledge.
An Investigation of the Laws of Thought (1854), 244. This is part of a longer quote, which begins, “A distinguished writer…”, on the George Boole Quotes page of this website.
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Professor [Max] Planck, of Berlin, the famous originator of the Quantum Theory, once remarked to me that in early life he had thought of studying economics, but had found it too difficult! Professor Planck could easily master the whole corpus of mathematical economics in a few days. He did not mean that! But the amalgam of logic and intuition and the wide knowledge of facts, most of which are not precise, which is required for economic interpretation in its highest form is, quite truly, overwhelmingly difficult for those whose gift mainly consists in the power to imagine and pursue to their furthest points the implications and prior conditions of comparatively simple facts which are known with a high degree of precision.
'Alfred Marshall: 1842-1924' (1924). In Geoffrey Keynes (ed.), Essays in Biography (1933), 191-2
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Progress in every country depends mainly on the education of its people. Without education, we are a nation of children. The difference between one man and another, apart from birth and social position, consists in the extent of knowledge, general and practical, acquired by him. We may safely assume that man in all countries within certain limits start with the same degree of intelligence. A civilised nation is distinguished from an uncivilised one by the extent of its acquired intelligence and skill.
Epigraph for the chapter by R.K. Murfi, 'Visvesvaraya', collected in Remembering Our Leaders: Volume 2 (1989), 46. Partly quoted in V.S. Narayana Rao, Mokshagundam Visvesvaraya: His Life and Work (1973), 33.
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Proposals for forming a Public Institution for diffusing the knowledge of Mechanical Inventions, and for teaching, by Philosophical Lectures and Experiments, the application of Science to the common purposes of life.
Title of the pamphlet (Apr 1799) in which he proposed what is now the Royal Institution. As named in a notice under 'A Correct List of New Publications', The Monthly Magazine: Part 1 for 1799 from January to June, inclusive (Apr 1799), 7, Part 1, 221.
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Put glibly:
In science if you know what you are doing you should not be doing it.
In engineering if you do not know what you are doing you should not be doing it.
Of course, you seldom, if ever, see either pure state.
In The Art of Doing Science and Engineering: Learning to Learn (1975, 2005), 5.
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Questioning is the cutting edge of knowledge; assertion is the dead weight behind the edge that gives it driving force.
In Speculum Mentis (1924).
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Quite distinct from the theoretical question of the manner in which mathematics will rescue itself from the perils to which it is exposed by its own prolific nature is the practical problem of finding means of rendering available for the student the results which have been already accumulated, and making it possible for the learner to obtain some idea of the present state of the various departments of mathematics. … The great mass of mathematical literature will be always contained in Journals and Transactions, but there is no reason why it should not be rendered far more useful and accessible than at present by means of treatises or higher text-books. The whole science suffers from want of avenues of approach, and many beautiful branches of mathematics are regarded as difficult and technical merely because they are not easily accessible. … I feel very strongly that any introduction to a new subject written by a competent person confers a real benefit on the whole science. The number of excellent text-books of an elementary kind that are published in this country makes it all the more to be regretted that we have so few that are intended for the advanced student. As an example of the higher kind of text-book, the want of which is so badly felt in many subjects, I may mention the second part of Prof. Chrystal’s Algebra published last year, which in a small compass gives a great mass of valuable and fundamental knowledge that has hitherto been beyond the reach of an ordinary student, though in reality lying so close at hand. I may add that in any treatise or higher text-book it is always desirable that references to the original memoirs should be given, and, if possible, short historic notices also. I am sure that no subject loses more than mathematics by any attempt to dissociate it from its history.
In Presidential Address British Association for the Advancement of Science, Section A (1890), Nature, 42, 466.
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Rachel Carson was the best thing America is capable of producing: a modest person, concerned, courageous, and profoundly right—all at the same time. Troubled by knowledge of an emerging threat to the web of life, she took pains to become informed, summoned her courage, breached her confines, and conveyed a diligently constructed message with eloquence enough to catalyze a new social movement. Her life addressed the promise and premise of being truly human.
In his Foreward to Rachel Carson, The Sea Around Us (1950, 2003), xvi.
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Radioactivity is a new primary science owing allegiance neither to physics nor chemistry, as these sciences were understood before its advent, because it is concerned with a knowledge of the elementary atoms themselves of a character so fundamental and intimate that the old laws of physics and chemistry, concerned almost wholly with external relationships, do not suffice.
In 'The Discovery of Radioactivity: Radioactivity, a New Science', The Interpretation of Radium and the Structure of the Atom (4th ed., 1920), 2-3.
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Radium could become very dangerous in criminal hands, and here the question can be raised whether mankind benefits from knowing the secrets of Nature…
Nobel Lecture (6 June 1905), 'Radioactive Substances, Especially Radium', collected in Stig Lundqvist (ed.), Nobel Lectures: Physics 1901-1921 (1998), 78. A longer version of this quote on this web page begins, “It can even be thought that…”
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Reading furnishes the mind only with materials of knowledge, it is thinking makes what we read ours.
On the Conduct Of Understanding (written 1697, published posthumously 1706), collected in Works (5th Ed. 1751), Vol. 3, 387.
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Real knowledge goes into natural man in tidbits. A scrap here, a scrap there; always pertinent, linked to safety or nutrition or pleasure. Human curiosity survives and is catered for, by the twopenny weeklies, 24 lines on chromosomes, six lines on a three-headed calf.
From Culture (1938). Reprinted as Guide to Kulchur (1952, 1970), 99.
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Real science exists, then, only from the moment when a phenomenon is accurately defined as to its nature and rigorously determined in relation to its material conditions, that is, when its law is known. Before that, we have only groping and empiricism.
From An Introduction to the Study of Experimental Medicine (1865), as translated by Henry Copley Greene (reprint 1999), 74.
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Rejoice when other scientists do not believe what you know to be true. It will give you extra time to work on it in peace. When they start claiming that they have discovered it before you, look for a new project.
'Resolution and Reconstitution of Biological Pathways from 1919 to 1984', Federation Proceedings (1983), 12, 2902.
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Reliable scientific knowledge is value free and has no moral or ethical value. Science tells us how the world is. … Dangers and ethical issue arise only when science is applied as technology.
Nobel Symposium, at Stockholm, Sweden on 'Virtual Museums and Public Understanding of Science and Culture' (26-29 May 2002), Lecture 'Is Science Dangerous'. Published in 'Is Cell Science Dangerous?', Journal of Medical Ethics (Jun 2007), 33, No. 6, 345.
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Charles Babbage quote: Remember that accumulated knowledge, like accumulated capital, increases at compound interest: but it dif
Remember that accumulated knowledge, like accumulated capital, increases at compound interest: but it differs from the accumulation of capital in this; that the increase of knowledge produces a more rapid rate of progress, whilst the accumulation of capital leads to a lower rate of interest. Capital thus checks its own accumulation: knowledge thus accelerates its own advance. Each generation, therefore, to deserve comparison with its predecessor, is bound to add much more largely to the common stock than that which it immediately succeeds.
The Exposition of 1851: Or the Views of Industry, Science and Government of England (1851), 192-3.
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Research is an effort of the mind to comprehend relationships no one has previously known; and it is practical as well as theoretical.
Shown as a slogan of Bell Telephone Laboratories in a Bell Telephone System advertisement, 'The Search That Never Ends', placed, for example, in Life Magazine (17 Jan 1944), 33.
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Research is industrial prospecting. The oil prospectors use every scientific means to find new paying wells. Oil is found by each one of a number of methods. My own group of men are prospecting in a different field, using every possible scientific means. We believe there are still things left to be discovered. We have only stumbled upon a few barrels of physical laws from the great pool of knowledge. Some day we are going to hit a gusher.
'Industrial Prospecting', an address to the Founder Societies of Engineers (20 May 1935). In National Research Council, Reprint and Circular Series of the National Research Council (1933), No. 107, 1.
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Responsibility lies with those who make use of these new tools and not with those who contribute to the progress of knowledge: therefore, with the politicians, not with the scientists.
discussing atomic weapons, in an interview, February 1949.
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Rules of Thumb
Thumb’s First Postulate: It is better to use a crude approximation and know the truth, plus or minus 10 percent, than demand an exact solution and know nothing at all.
Thumb’s Second Postulate: An easily understood, workable falsehood is more useful than a complex incomprehensible truth.
Anonymous
In Arthur Bloch, The Complete Murphy's Law: A Definitive Collection (1991), 126.
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Said M. Waldman, “…Chemistry is that branch of natural philosophy in which the greatest improvements have been and may be made; it is on that account that I have made it my peculiar study; but at the same time, I have not neglected the other branches of science. A man would make but a very sorry chemist if he attended to that department of human knowledge alone. If your wish is to become really a man of science and not merely a petty experimentalist, I should advise you to apply to every branch of natural philosophy, including mathematics.”
In Frankenstein: Or, The Modern Prometheus (1823), Vol. 1, 73-74. Webmaster note: In the novel, when the fictional characters meet, M. Waldman, professor of chemistry, sparks Victor Frankenstein’s interest in science. Shelley was age 20 when the first edition of the novel was published anonymously (1818).
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Science ... in other words, knowledge—is not the enemy of religion; for, if so, then religion would mean ignorance. But it is often the antagonist of school-divinity.
'The Professor at the Breakfast Table', The Writings of Oliver Wendell Holmes (1859, 1891), Vol. 2, 113.
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Science always goes abreast with the just elevation of the man, keeping step with religion and metaphysics; or, the state of science is an index of our self-knowledge.
In James Wood, Dictionary of Quotations from Ancient and Modern, English and Foreign Sources (1893), 382:23.
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Science and common sense differ as cultivated fruits differ from wild fruits. Science sows its seeds of inquiry, and gathers the fruit. Common sense picks the fruit, such as it, is by the wayside. Common sense has no fields or orchards of knowledge.
In Sir William Withey Gull and Theodore Dyke Acland (ed.), A Collection of the Published Writings of William Withey Gull (1896), lvi.
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Science and knowledge are subject, in their extension and increase, to laws quite opposite to those which regulate the material world. Unlike the forces of molecular attraction, which cease at sensible distances; or that of gravity, which decreases rapidly with the increasing distance from the point of its origin; the farther we advance from the origin of our knowledge, the larger it becomes, and the greater power it bestows upon its cultivators, to add new fields to its dominions.
In 'Future Prospects', On the Economy of Machinery and Manufactures (1st ed., 1832), chap. 32, 277-278.
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Science arouses a soaring sense of wonder. But so does pseudoscience. Sparse and poor popularizations of science abandon ecological niches that pseudoscience promptly fills. If it were widely understood that claims to knowledge require adequate evidence before they can be accepted, there would be no room for pseudoscience.
The Demon-Haunted World: Science as a Candle in the Dark (1996), 6.
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Science asks no questions about the ontological pedigree or a priori character of a theory, but is content to judge it by its performance; and it is thus that a knowledge of nature, having all the certainty which the senses are competent to inspire, has been attained—a knowledge which maintains a strict neutrality toward all philosophical systems and concerns itself not with the genesis or a priori grounds of ideas.
Originally published in North American Review (1865). 'The Philosophy of Herbert Spencer,' repr. In Philosophical Writings of Chauncey Wright (1963), p. 8.
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Science at best is not wisdom, it is knowledge. Wisdom is knowledge tempered with judgment.
From essay, 'Mortgaging the Old Homestead', in Frank H.T. Rhodes and Richard O. Stone (eds.), Language of the Earth (2013), 361.
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Science begets knowledge; opinion, ignorance.
In Fielding Hudson Garrison, An Introduction to the History of Medicine (1929), 14.
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Science can be thought of as a large pool of knowledge, fed by a steady flow from the tap of basic research. Every now and then the water is dipped out and put to use, but one never knows which part of the water will be needed. This confuses the funding situation for basic science, because usually no specific piece of scientific work can be justified in advance; one cannot know which is going to be decisive. Yet history shows that keeping water flowing into the pool is a very worthwhile enterprise.
In 'Technology Development', Science (1983), 220, 576-580. As quoted and cited in H. Charles Romesburg, Best Research Practices (2009), 213.
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Science continually though gradually adds to our consciousness of life; but for full knowledge we are “infants in the dark.”
In Sir William Withey Gull and Theodore Dyke Acland (ed.), A Collection of the Published Writings of William Withey Gull (1896), liv.
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Science deals with judgments on which it is possible to obtain universal agreement. These judgments do not concern individual facts and events, but the invariable association of facts and events known as the laws of science. Agreement is secured by observation and experiment—impartial courts of appeal to which all men must submit if they wish to survive. The laws are grouped and explained by theories of ever increasing generality. The theories at first are ex post facto—merely plausible interpretations of existing bodies of data. However, they frequently lead to predictions that can be tested by experiments and observations in new fields, and, if the interpretations are verified, the theories are accepted as working hypotheses until they prove untenable. The essential requirements are agreement on the subject matter and the verification of predictions. These features insure a body of positive knowledge that can be transmitted from person to person, and that accumulates from generation to generation.
From manuscript on English Science in the Renaissance (1937), Edwin Hubble collection, Box 2, Huntington Library, San Marino, California. As cited by Norriss S. Hetherington in 'Philosophical Values and Observation in Edwin Hubble's Choice of a Model of the Universe', Historical Studies in the Physical Sciences (1982), 13, No. 1, 41. (Hetherington comments parenthetically that the references to court, judgment and appeal may be attributable to his prior experiences as a Rhodes Scholar reading Roman law at Oxford, and to a year's practice as an attorney in Louisville, Kentucky.)
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Science develops best when its concepts and conclusions are integrated into the broader human culture and its concerns for ultimate meaning and value. Scientists cannot, therefore, hold themselves entirely aloof from the sorts of issues dealt with by philosophers and theologians. By devoting to these issues something of the energy and care they give to their research in science, they can help others realize more fully the human potentialities of their discoveries. They can also come to appreciate for themselves that these discoveries cannot be a genuine substitute for knowledge of the truly ultimate.
In Letter (1 Jun 1988) to Father George V. Coyne, Director of the Vatican Observatory. On vatican.va website.
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Science did not germinate and grow on a healthy prairie of ignorance but in a noisome jungle of magic and superstition, which again and again choked the seedlings of knowledge.
In A Shorter History of Science (1944), 5.
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Science does not mean an idle resting upon a body of certain knowledge; it means unresting endeavor and continually progressing development toward an end which the poetic intuition may apprehend, but which the intellect can never fully grasp.
In The Philosophy of Physics (1936). Collected in The New Science: 3 Complete Works (1959), 290.
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Science doesn’t purvey absolute truth. Science is a mechanism, a way of trying to improve your knowledge of nature. It’s a system for testing your thoughts against the universe, and seeing whether they match.
'Isaac Asimov Speaks' with Bill Moyers in The Humanist (Jan/Feb 1989), 49. Reprinted in Carl Howard Freedman (ed.), Conversations with Isaac Asimov (2005), 143-144. Bill Moyers asked “What’s real knowledge?” Asimov replied, “Well, we can’t be absolutely certain.” He continued answering as in the quote above.
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Science enhances the moral value of life, because it furthers a love of truth and reverence—love of truth displaying itself in the constant endeavor to arrive at a more exact knowledge of the world of mind and matter around us, and reverence, because every advance in knowledge brings us face to face with the mystery of our own being.
In Max Planck and James Vincent Murphy (trans.), Where is Science Going?, (1932), 169.
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Science fiction writers, I am sorry to say, really do not know anything. We can’t talk about science, because our knowledge of it is limited and unofficial, and usually our fiction is dreadful.
'How to Build a Universe That Doesn't Fall Apart Two Days Later,' introduction, I Hope I Shall Arrive Soon (1986).
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Science gives us knowledge, but only philosophy can give us wisdom.
In The Story of Philosophy: The Lives and Opinions of the Greater Philosophers (1928), 3.
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Science gives us the grounds of premises from which religious truths are to be inferred; but it does not set about inferring them, much less does it reach the inference; that is not its province. It brings before us phenomena, and it leaves us, if we will, to call them works of design, wisdom, or benevolence; and further still, if we will, to proceed to confess an Intelligent Creator. We have to take its facts, and to give them a meaning, and to draw our own conclusions from them. First comes Knowledge, then a view, then reasoning, then belief. This is why Science has so little of a religious tendency; deductions have no power of persuasion. The heart is commonly reached, not through the reason, but through the imagination, by means of direct impressions, by the testimony of facts and events, by history, by description. Persons influence us, voices melt us, looks subdue us, deeds inflame us. Many a man will live and die upon a dogma; no man will be a martyr for a conclusion.
Letter collected in Tamworth Reading Room: Letters on an Address Delivered by Sir Robert Peel, Bart., M.P. on the Establishment of a Reading Room at Tamworth (1841), 32. Excerpted in John Henry Newman, An Essay in Aid of a Grammar of Assent (1870), 89 & 94 footnote.
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Science has “explained” nothing; the more we know the more fantastic the world becomes and the profounder the surrounding darkness.
Along the Road: Notes and Essays of a Tourist (1928), 108.
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Science has a simple faith, which transcends utility. Nearly all men of science, all men of learning for that matter, and men of simple ways too, have it in some form and in some degree. It is the faith that it is the privilege of man to learn to understand, and that this is his mission. If we abandon that mission under stress we shall abandon it forever, for stress will not cease. Knowledge for the sake of understanding, not merely to prevail, that is the essence of our being. None can define its limits, or set its ultimate boundaries.
Science is Not Enough (1967), 191.
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Science has radically changed the conditions of human life on earth. It has expanded our knowledge and our power but not our capacity to use them with wisdom.
In Old Myths and New Realities (1964).
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Science has to be understood in its broadest sense, as a method for apprehending all observable reality, and not merely as an instrument for acquiring specialized knowledge.
In Alfred Armand Montapert, Words of Wisdom to Live By: An Encyclopedia of Wisdom in Condensed Form (1986), 217, without citation. If you know the primary source, please contact Webmaster.
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Martin Luther King quote: Science investigates; religion interprets. Science gives man knowledge which is power; religion gives
Science investigates; religion interprets. Science gives man knowledge which is power; religion gives man wisdom which is control. Science deals mainly with facts; religion deals mainly with values. The two are not rivals. They are complementary.
In 'A Tough Mind and a Tender Heart', Strength To Love (1963), 3.
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Science is a body of truths which offers clear and certain knowledge about the real world and is therefore superior to tradition philosophy religion dogma and superstition which offer shadowy knowledge about an ideal world.
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Science is a procedure for testing and rejecting hypotheses, not a compendium of certain knowledge. … Theories that cannot be tested in principle are not a part in science.
In The Flamingo's Smile: Reflections in Natural History (1985), 111.
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Science is a progressive activity. The outstanding peculiarity of man is that he stumbled onto the possibility of progressive activities. Such progress, the accumulation of experience from generation to generation, depended first on the development of language, then of writing and finally of printing. These allowed the accumulation of tradition and of knowledge, of the whole aura of cultural inheritance that surrounds us. This has so conditioned our existence that it is almost impossible for us to stop and examine the nature of our culture. We accept it as we accept the air we breathe; we are as unconscious of our culture as a fish, presumably, is of water.
In The Nature of Natural History (1950, 1961), 4.
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Science is a way of thinking much more than it is a body of knowledge.
Broca’s Brain: Reflections on the Romance of Science (1979, 1986), 15.
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Science is best defined as a careful, disciplined, logical search for knowledge about any and all aspects of the universe, obtained by examination of the best available evidence and always subject to correction and improvement upon discovery of better evidence. What's left is magic. And it doesn't work.
The Mask of Nostradamus: The Prophecies of the World’s Most Famous Seer (1993), 66.
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Science is far from a perfect instrument of knowledge. It’s just the best one we have. In this respect, as in many others, it’s like democracy.
In 'With Science on Our Side', Washington Post (9 Jan 1994).
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Science is for those who learn; poetry for those who know.
In Meditations of a Parish Priest: Thoughts, Pt. 1, No. 71, translated from the third French edition by Isabel Florence Hapgood (1886), 43.
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Science is knowledge arranged and classified according to truth, facts, and the general laws of nature.
Interview in San Francisco Bulletin (22 Jan 1926). As cited in Michael C. and Linda Rose Thomsett, A Speaker's Treasury of Quotations: Maxims, Witticisms and Quips for Speeches and Presentations (2009), 102-103. Also in 'Science and Civilization', Prescott Evening Courier (3 Nov 1925), 6.
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Science is knowledge certain and evident in itself, or by the principles from which it is deducted, or with which it is certainly connected. It is subjective, as existing in the mind; objective, as embodied in truths; speculative, as leading to do something, as in practical science.
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Science is not about building a body of known “facts”. It is a method for asking awkward questions and subjecting them to a reality-check, thus avoiding the human tendency to believe whatever makes us feel good.
With co-author Jack Cohen. In Terry Pratchett, Ian Stewart and Jack Cohen, Chap. 10, 'The Shape of Things', The Science of Discworld (1999), 78. Pratchett wrote the fantasy story told in the odd-numbered chapters. Following each, relevant real science is provided by his co-authors, Stewart and Cohen, in the even-numbered chapters (such as Chap. 10), but which of the two wrote which lines, is not designated.
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Science is not gadgetry. The desirable adjuncts of modern living, although in many instances made possible by science, certainly do not constitute science. Basic scientific knowledge often (but not always) is a prerequisite to such developments, but technology primarily deserves the credit for having the financial courage, the ingenuity, and the driving energy to see to it that so-called ‘pure knowledge’ is in fact brought to the practical service of man. And it should also be recognized that those who have the urge to apply knowledge usefully have themselves often made significant contribution to pure knowledge and have even more often served as a stimulation to the activities of a pure researcher.
Warren Weaver (1894–1978), U.S. mathematician, scientist, educator. Science and Imagination, ch. 1, Basic Books (1967).
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Science is not the enemy of humanity but one of the deepest expressions of the human desire to realize that vision of infinite knowledge. Science shows us that the visible world is neither matter nor spirit; the visible world is the invisible organization of energy.
The Cosmic Code (1982), 348.
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Science is organised knowledge.
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Science is organized knowledge; and before knowledge can be organized, some of it must first be possessed. Every study, therefore, should have a purely experimental introduction; and only after an ample fund of observations has been accumulated, should reasoning begin.
In essay 'The Art of Education', The North British Review (May 1854), 137.
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Science is organized knowledge.
Often (almost certainly) misattributed to Immanuel Kant, since there seems to be no generally known existent citation. The sentence does appear in an essay by Herbert Spencer, 'The Art of Education', The North British Review (May 1854), 137. When “Wisdom is organized life” is added to the misattributed quote, these are the words used by Will Durant when explaining, but not quoting, Kant (see Science Quotes by Will Durant).
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Science is organized knowledge. Wisdom is organized life.
[Author Will Durant’s summary of Kant’s ideas; not a direct translation of Kant’s own words.]
Although often seen, these are (almost certainly) not Kant’s own words. While explaining Kant’s ideas, this are the words used by Will Durant in 'Kant and German Idealism: Transcendental Analytic', The Story of Philosophy (1924, 1938), 295-296. The first sentence, “Science is organized knowledge,” was first stated by Herbert Spencer in 1854 (see Science Quotes by Herbert Spencer.) On the webside of quoteinvestigator.com, which pinpoints Durant as the origin of the quote, it is further explained that Kant’s writing style used complicated expression that makes it rare to find intelligible direct quotes of Kant’s own words.
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Science is public, not private, knowledge.
In Robert King Merton and Matilda White Riley (eds.), Sociological Traditions From Generation to Generation: Glimpses of the American Experience (1980), 26.
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Science is simply the classification of the common knowledge of the common people. It is bringing together the things we all know and putting them together so we can use them. This is creation and finds its analogy in Nature, where the elements are combined in certain ways to give us fruits or flowers or grain.
In Elbert Hubbard (ed. and publ.), The Philistine (Dec 1907), 26, 10.
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Science is teaching man to know and reverence truth, and to believe that only so far as he knows and loves it can he live worthily on earth, and vindicate the dignity of his spirit.
In Where are We and Whither Tending?: Three Lectures on the Reality and Worth of Human Progress (1886), 26.
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Science is the knowledge of Consequences, and dependance of one fact upon another.
Leviathan (1651), ed. C. B. Macpherson (1968), Part 1, Chapter 5, 115.
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Science is the knowledge of constant things, not merely of passing events, and is properly less the knowledge of general laws than of existing facts.
Lectures on the Relation of Natural Science to Art, Oxford, Lecture III, 'The Relation of Wise Art to Wise Science' (15 Feb 1872). Collected in The Works of John Ruskin (1872), Vol. 4, .
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Science is the knowledge of many, orderly and methodically digested and arranged, so as to become attainable by one. The knowledge of reasons and their conclusions constitutes abstract, that of causes and their effects, and of the laws of nature, natural science.
A Preliminary Discourse on the Study of Natural Philosophy (1830).
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Science is the one human activity that is truly progressive. The body of positive knowledge is transmitted from generation to generation.
In The Realm of the Nebulae (1936), 1.
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Science is the only truth and it is the great lie. It knows nothing, and people think it knows everything. It is misrepresented. People think that science is electricity, automobilism, and dirigible balloons. It is something very different. It is life devouring itself. It is the sensibility transformed into intelligence. It is the need to know stifling the need to live. It is the genius of knowledge vivisecting the vital genius.
repr. In Selected Writings, ed. and trans. by Glen S. Burne (1966). 'Art and Science,' Promenades Philosophiques (1905-1909).
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Science is the tool of the Western mind and with it more doors can be opened than with bare hands. It is part and parcel of our knowledge and obscures our insight only when it holds that the understanding given by it is the only kind there is.
Carl Jung
In Jung’s 'Commentary' as translated for the English edition of Richard Wilhelm, The Secret Of The Golden Flower: A Chinese Book of Life (1999, 2013), 82.
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Science is what we know, and philosophy is what we don't know.
In Bertrand Russell Speaks his Mind (1960), 11.
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Science is, and must be, culturally embedded; what else could the product of human passion be?... Culture is not the enemy of objectivity but a matrix that can either aid or retard advancing knowledge.
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Science itself is badly in need of integration and unification. The tendency is more and more the other way ... Only the graduate student, poor beast of burden that he is, can be expected to know a little of each. As the number of physicists increases, each specialty becomes more self-sustaining and self-contained. Such Balkanization carries physics, and indeed, every science further away, from natural philosophy, which, intellectually, is the meaning and goal of science.
Science, The Center of Culture (1970), 92. Quoted by Victor F. Weisskopf, 'One Hundred Years of the Physical Review', in H. Henry Stroke, Physical Review: The First Hundred Years: a Selection of Seminal Papers and Commentaries, Vol. 1, 15.
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Science knows no country because knowledge belongs to humanity, and is the torch which illuminates the world. Science is the highest personification of the nation because that nation will remain the first which carries the furthest the works of thought and intelligence.
From banquet Toast (1876), at the International Congress of Sericulture, Milan, Italy, as translated in René Dubos, Louis Pasteur, Free Lance of Science (1960), 85. Banquet date identified in Maurice B. Strauss, Familiar Medical Quotations (1968), 519.
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Science may set limits to knowledge, but should not set limits to imagination.
In History of Western Philosophy (2004), 26.
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Science moves, but slowly, slowly, creeping on from point to point. ...
Yet I doubt not through the ages one increasing purpose runs,
And the thoughts of men are widened with the process of the suns.…
Knowledge comes, but wisdom lingers…
In poem, 'Locksley Hall', collected in Poems by Alfred Tennyson (1842), Vol. 1, 105-106.
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Science must be free. We can permit no restrictions to be placed upon the scientists’ right to question, to experiment, and to think. Because America has held liberty above all else, distinguished men of science have come here to live, to work, and to seek new knowledge. The world has been the benefactor and science has moved forward.
In address (Fall 1946) at a dinner in New York to commemorate the 40 years of Sarnoff’s service in the radio field, 'Institute News and Radio Notes: The Past and Future of Radio', Proceedings of the Institute of Radio Engineers (I.R.E.), (May 1947), 35, No. 5, 498.
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Science only means knowledge; and for [Greek] ancients it did only mean knowledge. Thus the favorite science of the Greeks was Astronomy, because it was as abstract as Algebra. ... We may say that the great Greek ideal was to have no use for useful things. The Slave was he who learned useful things; the Freeman was he who learned useless things. This still remains the ideal of many noble men of science, in the sense they do desire truth as the great Greeks desired it; and their attitude is an external protest against vulgarity of utilitarianism.
'About Beliefs', in As I was Saying: A Book of Essays (1936), 65-66. Collected in G. K. Chesterton and Dale Ahlquist (ed.), In Defense of Sanity: The Best Essays of G.K. Chesterton (2011), 318.
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Science requires an engagement with the world, a live encounter between the knower and the known.
In The Courage to Teach: Exploring the Inner Landscape of a Teacher’s Life (1998), 54.
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Science should leave off making pronouncements: the river of knowledge has too often turned back on itself.
The Mysterious Universe (1930, 1976), 188.
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Science usually advances by a succession of small steps, through a fog in which even the most keen-sighted explorer can seldom see more than a few paces ahead. Occasionally the fog lifts, an eminence is gained, and a wider stretch of territory can be surveyed—sometimes with startling results. A whole science may then seem to undergo a kaleidoscopic rearrangement, fragments of knowledge sometimes being found to fit together in a hitherto unsuspected manner. Sometimes the shock of readjustment may spread to other sciences; sometimes it may divert the whole current of human thought.
Opening paragraph, Physics and Philosophy (1943), 1.
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Science will continue to surprise us with what it discovers and creates; then it will astound us by devising new methods to surprise us. At the core of science’s self-modification is technology. New tools enable new structures of knowledge and new ways of discovery. The achievement of science is to know new things; the evolution of science is to know them in new ways. What evolves is less the body of what we know and more the nature of our knowing.
'Speculations on the Future of Science'. In Clifford A. Pickover, Archimedes to Hawking: Laws of Science and the Great Minds Behind Them (2008), 172.
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Science would have us believe that such accuracy, leading to certainty, is the only criterion of knowledge, would make the trial of Galileo the paradigm of the two points of view which aspire to truth, would suggest, that is, that the cardinals represent only superstition and repression, while Galileo represents freedom. But there is another criterion which is systematically neglected in this elevation of science. Man does not now—and will not ever—live by the bread of scientific method alone. He must deal with life and death, with love and cruelty and despair, and so must make conjectures of great importance which may or may not be true and which do not lend themselves to experimentation: It is better to give than to receive; Love thy neighbor as thyself; Better to risk slavery through non-violence than to defend freedom with murder. We must deal with such propositions, must decide whether they are true, whether to believe them, whether to act on them—and scientific method is no help for by their nature these matters lie forever beyond the realm of science.
In The End of the Modern Age (1973), 89.
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Science, in the immediate, produces knowledge and, indirectly, means of action. It leads to methodical action if definite goals are set up in advance. For the function of setting up goals and passing statements of value transcends its domain. While it is true that science, to the extent of its grasp of causative connections, may reach important conclusions as to the compatibility and incompatibility of goals and evaluations, the independent and fundamental definitions regarding goals and values remain beyond science’s reach.
…...
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Science, philosophy, religion and art are forms of knowledge. The method of science is experiment; the method of philosophy is speculation; the method of religion and art is moral or esthetic emotional inspiration.
In 'Forms of Knowledge', Tertium Organum: The Third Canon of Thought; a Key to the Enigmas of the World (1922), 231.
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Science, then, is the attentive consideration of common experience; it is common knowledge extended and refined. Its validity is of the same order as that of ordinary perception; memory, and understanding. Its test is found, like theirs, in actual intuition, which sometimes consists in perception and sometimes in intent. The flight of science is merely longer from perception to perception, and its deduction more accurate of meaning from meaning and purpose from purpose. It generates in the mind, for each vulgar observation, a whole brood of suggestions, hypotheses, and inferences. The sciences bestow, as is right and fitting, infinite pains upon that experience which in their absence would drift by unchallenged or misunderstood. They take note, infer, and prophesy. They compare prophesy with event, and altogether they supply—so intent are they on reality—every imaginable background and extension for the present dream.
The Life of Reason, or the Phases of Human Progress (1954), 393.
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Science, though apparently transformed into pure knowledge, has yet never lost its character of being a craft; and that it is not the knowledge itself which can rightly be called science, but a special way of getting and of using knowledge. Namely, science is the getting of knowledge from experience on the assumption of uniformity in nature, and the use of such knowledge to guide the actions of men.
In 'On The Scientific Basis of Morals', Contemporary Review (Sep 1875), collected in Leslie Stephen and Frederick Pollock (eds.), Lectures and Essays: By the Late William Kingdon Clifford, F.R.S. (1886), 289.
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Science’s defenders have identified five hallmark moves of pseudoscientists. They argue that the scientific consensus emerges from a conspiracy to suppress dissenting views. They produce fake experts, who have views contrary to established knowledge but do not actually have a credible scientific track record. They cherry-pick the data and papers that challenge the dominant view as a means of discrediting an entire field. They deploy false analogies and other logical fallacies. And they set impossible expectations of research: when scientists produce one level of certainty, the pseudoscientists insist they achieve another.
In Commencement Address at the California Institute of Technology (10 Jun 2016). Published on the website of The New Yorker (10 Jun 2016).
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Sciences distinguished have a dependence upon universal knowledge, to be augmented, and rectified by the superior light thereof; as well as the parts and members of a science have upon the maxims of the same science, and the mutual light and consent which one part receiveth of another.
From 'Interpretatio Naturæ' ('Of The Interpretation of Nature'), collected in The Works Of Francis Bacon (1803), Vol. 2, 140.
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Scientia potentia est, sed parva; quia scientia egregia rara est, nec proinde apparens nisi paucissimis, et in paucis rebus. Scientiae enim ea natura est, ut esse intelligi non possit, nisi ab illis qui sunt scientia praediti.
De Homine, cap. x. In Thomas Hobbes and William Molesworth, Thomæ Hobbes Malmesburiensis Opera Philosophica (1841), Vol. 3, 69.
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Scientific apparatus offers a window to knowledge, but as they grow more elaborate, scientists spend ever more time washing the windows.
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Scientific discovery and scientific knowledge have been achieved only by those who have gone in pursuit of them without any practical purpose whatsoever in view.
The New Science (1959), 93.
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Scientific education is catholic; it embraces the whole field of human learning. No student can master all knowledge in the short years of his academic life, but a young man of ability and industry may reasonably hope to master the outlines of science, obtain a deep insight into the methods of scientific research, and at the same time secure an initiation into some one of the departments of science, in such a manner that he may fully appreciate the multitude of facts upon which scientific conclusions rest, and be prepared to enter the field of scientific research himself and make additions to the sum of human knowledge.
From address (1 Oct 1884), at inauguration of the Corcoran School of Science and Arts, Columbian University, Washington, D.C. Published in 'The Larger Import of Scientific Education', Popular Science Monthly (Feb 1885), 26, 453.
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Scientific findings do not threaten anyone (except to the extent that Homo sapiens may prove incapable of controlling what science makes possible). But what is critical to understand is that our species (or, for that matter, God) is not in the least diminished by the idea that we emerged thanks to the processes of evolution.
In The Monkey in the Mirror: Essays on the Science of What Makes Us Human (2003), 55.
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Scientific knowledge does limit the imagination, but only in the same healthy way that sanity limits what we take as real.
As co-author with Nancy Ellen Abrams, in The View from the Center of the Universe: Discovering Our Extraordinary Place in the Cosmos (2006), 280.
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Scientific knowledge is the most reliable and useful knowledge that human beings possess.
Anonymous
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Scientific knowledge scarcely exists amongst the higher classes of society. The discussion in the Houses of Lords or of Commons, which arise on the occurrence of any subjects connected with science, sufficiently prove this fact…
In Reflections on the Decline of Science in England (1830), 8.
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Scientific method is concerned with efficient ways of generating knowledge.
In article Total Quality: Its Origins and its Future (1995), published at the Center for Quality and Productivity Improvement.
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Scientific method is not just a method which it has been found profitable to pursue in this or that abstruse subject for purely technical reasons. It represents the only method of thinking that has proved fruitful in any subject—that is what we mean when we call it scientific. It is not a peculiar development of thinking for highly specialized ends; it is thinking, so far as thought has become conscious of its proper ends and of the equipment indispensable for success in their pursuit ... When our schools truly become laboratories of knowledge-making, not mills fitted out with information-hoppers, there will no longer be need to discuss the place of science in education.
Address to Section L, Education, of the American Association for the Advancement of Science, at Boston (1909), 'Science as Subject-Matter and as Method'. Published in Science (28 Jan 1910), N.S. Vol. 31, No. 787, 127.
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Scientific modes of thought cannot be developed and become generally accepted unless people renounce their primary, unreflecting, and spontaneous attempt to understand all their experience in terms of its purpose and meaning for themselves. The development that led to more adequate knowledge and increasing control of nature was therefore, considered from one aspect, also a development toward greater self-control by men.
The Civilizing Process: The Development of Manners—Changes in the Code of Conduct and Feeling in Early Modern Times (1939), trans. Edmund Jephcott (1978), 225. Originally published as Über den Prozess der Zivilisation.
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Scientific practice is above all a story-telling practice. ... Biology is inherently historical, and its form of discourse is inherently narrative. ... Biology as a way of knowing the world is kin to Romantic literature, with its discourse about organic form and function. Biology is the fiction appropriate to objects called organisms; biology fashions the facts “discovered” about organic beings.
Primate Visions: Gender, Race and Nature in the World of Modern Science(1989), 4-5.
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Scientific research is based on the idea that everything that takes place is determined by laws of nature, and therefore this holds for the actions of people. For this reason, a research scientist will hardly be inclined to believe that events could be influenced by a prayer, i.e. by a wish addressed to a supernatural Being.
However, it must be admitted that our actual knowledge of these laws is only imperfect and fragmentary, so that, actually, the belief in the existence of basic all-embracing laws in Nature also rests on a sort of faith. All the same this faith has been largely justified so far by the success of scientific research.
Letter (24 Jan 1936) replying to a a letter (19 Jan 1936) asking if scientists pray, from a child in the sixth grade in a Sunday School in New York City. In Albert Einstein, Helen Dukas (ed.) and Banesh Hoffmann (ed.), Albert Einstein, The Human Side (1981), 32-33.
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Scientific research is one of the most exciting and rewarding of occupations. It is like a voyage of discovery into unknown lands, seeking not for new territory but for new knowledge. It should appeal to those with a good sense of adventure.
From Nobel Banquet Speech (10 Dec 1980).
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Scientific wealth tends to accumulate according to the law of compound interest. Every addition to knowledge of the properties of matter supplies the physical scientist with new instrumental means for discovering and interpreting phenomena of nature, which in their turn afford foundations of fresh generalisations, bringing gains of permanent value into the great storehouse of natural philosophy.
From Inaugural Address of the President to British Association for the Advancement of Science, Edinburgh (2 Aug 1871). Printed in The Chemical News (4 Aug 1871), 24, No. 610., 53.
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Scientists can only carry on with their work, addressing legitimate questions as they arise and challenging misinformation. … Scientists work to fill the gaps in human knowledge and to build a theory that can explain observations of the world. Climate sceptics revel in such gaps, sometimes long after they have been filled.
Editorial, Nature (28 Jul 2011), 475, 423-424.
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Scientists come in two varieties, hedgehogs and foxes. I borrow this terminology from Isaiah Berlin (1953), who borrowed it from the ancient Greek poet Archilochus. Archilochus told us that foxes know many tricks, hedgehogs only one. Foxes are broad, hedgehogs are deep. Foxes are interested in everything and move easily from one problem to another. Hedgehogs are only interested in a few problems that they consider fundamental, and stick with the same problems for years or decades. Most of the great discoveries are made by hedgehogs, most of the little discoveries by foxes. Science needs both hedgehogs and foxes for its healthy growth, hedgehogs to dig deep into the nature of things, foxes to explore the complicated details of our marvelous universe. Albert Einstein and Edwin Hubble were hedgehogs. Charley Townes, who invented the laser, and Enrico Fermi, who built the first nuclear reactor in Chicago, were foxes.
In 'The Future of Biotechnology', A Many-Colored Glass: Reflections on the Place of Life in the Universe (2007), 1.
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Scientists today … have to be able to interpret their findings just as skillfully as they conduct their research. If not, a lot of priceless new knowledge will have to wait for a better man.
In his Introduction for Dagobert David Runes (ed.), A Treasury of World Science (1962), viii.
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Scientists today are hampered by their low social and economic status. Long gone is the respect and independence given to Lavoisier, Darwin, Faraday, Maxwell, Perkin, Curie and Einstein. Hardly any laboratory scientist anywhere is as free as a good writer can be. Indeed I suspect that the only scientists we know well are those who can write entertaining books; the real contributors to knowledge are mostly unknown.
In The Revenge of Gaia: Earth’s Climate Crisis & The Fate of Humanity (2006, 2007), 93.
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Secondly, the study of mathematics would show them the necessity there is in reasoning, to separate all the distinct ideas, and to see the habitudes that all those concerned in the present inquiry have to one another, and to lay by those which relate not to the proposition in hand, and wholly to leave them out of the reckoning. This is that which, in other respects besides quantity is absolutely requisite to just reasoning, though in them it is not so easily observed and so carefully practised. In those parts of knowledge where it is thought demonstration has nothing to do, men reason as it were in a lump; and if upon a summary and confused view, or upon a partial consideration, they can raise the appearance of a probability, they usually rest content; especially if it be in a dispute where every little straw is laid hold on, and everything that can but be drawn in any way to give color to the argument is advanced with ostentation. But that mind is not in a posture to find truth that does not distinctly take all the parts asunder, and, omitting what is not at all to the point, draws a conclusion from the result of all the particulars which in any way influence it.
In Conduct of the Understanding, Sect. 7.
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Seldom, if ever, was any knowledge given to keep but to impart; the grace of this rich jewel is lost in concealment.
'The Rapture of Elijah', The Works of Joseph Hall, Vol 2, Contemplations (1808), 27.
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Several of my young acquaintances are in their graves who gave promise of making happy and useful citizens and there is no question whatever that cigarettes alone were the cause of their destruction. No boy living would commence the use of cigarettes if he knew what a useless, soulless, worthless thing they would make of him.
Quoted in Henry Ford, The Case Against the Little White Slaver (1914), Vol. 1, 20.
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Several times every day I observed the portions of the polyp with a magnifying glass. On the 4th December, that is to say on the ninth day after having cut the polyp, I seemed in the morning to be able to perceive, on the edges of the anterior end of the second part (the part that had neither head nor arms), three little points arising from those edges. They immediately made me think of the horns that serve as the legs and arms of the polyp. Nevertheless I did not want to decide at once that these were actually arms that were beginning to grow. Throughout the next day I continually observed these points: this excited me extremely, and awaited with impatience the moment when I should know with certainty what they were. At last, on the following day, they were so big that there was no longer any room for doubt that they were actually arms growing at the anterior extremity of this second part. The next day two more arms started to grow out, and a few days later three more. The second part thus had eight of them, and they were all in a short time as long as those of the first part, that is to say as long as those the polyp possessed before it was cut. I then no longer found any difference between the second part and a polyp that had never been cut. I had remarked the same thing about the first part since the day after the operation. When I observed them with the magnifying glass with all the attention of which I was capable, each of the two appeared perceptibly to be a complete polyp, and they performed all the functions that were known to me: they extended, contracted, and walked.
Mémoires, pour servir à l'histoire d'un genre de polyps d'eau douce à bras en forme de cornes (1744), 7-16. Trans. John R. Baker, in Abraham Trembley of Geneva: Scientist and Philosopher 1710-1784 (1952), 32.
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Should a young scientist working with me come to me after two years of such work and ask me what to do next, I would advise him to get out of science. After two years of work, if a man does not know what to do next, he will never make a real scientist.
Quoted in Ralph Oesper, The Human Side of Scientists (1975), 165.
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Significant inventions are not mere accidents. The erroneous view [that they are] is widely held, and it is one that the scientific and technical community, unfortunately, has done little to dispel. Happenstance usually plays a part, to be sure, but there is much more to invention than the popular notion of a bolt out of the blue. Knowledge in depth and in breadth are virtual prerequisites. Unless the mind is thoroughly charged beforehand, the proverbial spark of genius, if it should manifest itself, probably will find nothing to ignite.
Speech, at award of Perkin Medal. As quoted in 'Introduction', Royston M. Roberts, Serendipity (1989), x.
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Signs and symptoms indicate the present, past and future states of the three states of the body (health, illness, neutrality). According to Galen, knowledge of the present state is of advantage only to the patient as it helps him to follow the proper course of management. Knowledge of the past state is useful only to the physician inasmuch as its disclosure by him to the patient brings him a greater respect for his professional advice. Knowledge of the future state is useful to both. It gives an opportunity to the patient to be forewarned to adopt necessary preventative measures and it enhances the reputation of the physician by correctly forecasting the future developments.
Avicenna
'The Signs and Symptoms (Diagnosis): General Remarks,' in The Canon of Medicine, adapted by L. Bakhtiar (1999), 259.
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Simplification of modes of proof is not merely an indication of advance in our knowledge of a subject, but is also the surest guarantee of readiness for farther progress.
In Lord Kelvin and Peter Guthrie Tait Elements of Natural Philosophy (1873), Preface.
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Since Copernicus, man seems to have got himself on an inclined plane—now he is slipping faster and faster away from the center into—what? into nothingness? into a 'penetrating sense of his nothingness?' ... all science, natural as well as unnatural—which is what I call the self-critique of knowledge—has at present the object of dissuading man from his former respect for himself, as if this had been but a piece of bizarre conceit.
On the Genealogy of Morals (1887), trans. W. Kaufmann and R. J. Hollingdale (1969), 155-6.
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Since the discovery of oxygen the civilised world has undergone a revolution in manners and customs. The knowledge of the composition of the atmosphere, of the solid crust of the earth, of water, and of their influence upon the life of plants and animals, was linked to that discovery. The successful pursuit of innumerable trades and manufactures, the profitable separation of metals from their ores, also stand in the closest connection therewith.
Familiar Letters on Chemistry (1851), 5.
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Sir, the reason is very plain; knowledge is of two kinds. We know a subject ourselves, or we know where we can find information upon it.
In James Boswell, The Life of Samuel Johnson, LL.D. (1820), Vol. 1, 418.
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So is not mathematical analysis then not just a vain game of the mind? To the physicist it can only give a convenient language; but isn’t that a mediocre service, which after all we could have done without; and, it is not even to be feared that this artificial language be a veil, interposed between reality and the physicist’s eye? Far from that, without this language most of the intimate analogies of things would forever have remained unknown to us; and we would never have had knowledge of the internal harmony of the world, which is, as we shall see, the only true objective reality.
From La valeur de la science. In Anton Bovier, Statistical Mechanics of Disordered Systems (2006), 3, giving translation "approximately" in the footnote of the opening epigraph in the original French: “L’analyse mathématique, n’est elle donc qu’un vain jeu d’esprit? Elle ne peut pas donner au physicien qu’un langage commode; n’est-ce pa là un médiocre service, dont on aurait pu se passer à la rigueur; et même n’est il pas à craindre que ce langage artificiel ne soit pas un voile interposé entre la réalité at l’oeil du physicien? Loin de là, sans ce langage, la pluspart des anaologies intimes des choses nous seraient demeurées à jamais inconnues; et nous aurions toujours ignoré l’harmonie interne du monde, qui est, nous le verrons, la seule véritable réalité objective.” Another translation, with a longer quote, beginning “Without this language…”, is on the Henri Poincaré Quotes" page of this website.
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So many people today–and even professional scientists–seem to me like someone who has seen thousands of trees but has never seen a forest . A knowledge of the historic and philosophical background gives that kind of independence from prejudices of his generation from which most scientists are suffering. This independence created by philosophical insight is–in my opinion–the mark of distinction between a mere artisan or specialist and a real seeker after truth.
In unpublished Letter (7 Dec 1944) to R.A. Thornton, Einstein Archive, EA 6-574, Hebrew University, Jerusalem, Israel. As quoted and cited in Don A. Howard, 'Albert Einstein as a Philosopher of Science', Physics Today (Dec 2006), 34.
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So-called extraordinary events always split into two extremes naturalists who have not witnessed them: those who believe blindly and those who do not believe at all. The latter have always in mind the story of the golden goose; if the facts lie slightly beyond the limits of their knowledge, they relegate them immediately to fables. The former have a secret taste for marvels because they seem to expand Nature; they use their imagination with pleasure to find explanations. To remain doubtful is given to naturalists who keep a middle path between the two extremes. They calmly examine facts; they refer to logic for help; they discuss probabilities; they do not scoff at anything, not even errors, because they serve at least the history of the human mind; finally, they report rather than judge; they rarely decide unless they have good evidence.
Quoted in Albert V. Carozzi, Histoire des sciences de la terre entre 1790 et 1815 vue à travers les documents inédités de la Societé de Physique et d'Histoire Naturelle de Genève, trans. Albert V. and Marguerite Carozzi. (1990), 175.
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Socrates said, our only knowledge was
“To know that nothing could be known;” a pleasant
Science enough, which levels to an ass
Each Man of Wisdom, future, past, or present.
Newton, (that Proverb of the Mind,) alas!
Declared, with all his grand discoveries recent,
That he himself felt only “like a youth
Picking up shells by the great Ocean—Truth.”
From poem, 'Don Juan,' (1822), canto 7, verse V. In Lord Byron, Don Juan: Cantos VI, VII and VIII (1823), 67.
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Some men grow mad by studying much to know,
But who grows mad by studying good to grow.
In Poor Richard's Almanack (1734).
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Some men said the atomic bomb should never have been built; researchers should have stopped working when they had realized that the bomb was feasible. Enrico did not think this would have been a sensible solution. It is no good trying to stop knowledge from going forward. Whatever Nature has in store for mankind, unpleasant as it may be, men must accept, for ignorance is never better than knowledge.
Note: Although attributed as his viewpoint to Enrico Fermi, it is probably not a direct quote by him.
This is the viewpoint of Enrico Fermi, as written in her own words by his wife, Laura Fermi, in Atoms in the Family: My Life with Enrico Fermi (1954), 244. The last sentence is also seen on its own, contracted as: “It is no good to try to stop knowledge from going forward. Ignorance is never better that knowledge.” Webmaster has therefore flags each of these wordings as “not a direct quote”, with this cautionary note. If you know a primary source of the quote in this wording, please contact Webmaster.
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Some young folks have wind-fall minds, prematurely detached from the tree of knowledge for a life-long sourness and pettiness.
From chapter 'Jottings from a Note-Book', in Canadian Stories (1918), 181.
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Something unknown is doing we don’t know what—that is what our theory amounts to.
Expressing the quantum theory description of an electron has no familiar conception of a real form. In The Nature Of The Physical World (1928), 291.
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Sometimes one has got to say difficult things, but one ought to say them as simply as one knows how.
In A Mathematician's Apology (1940, 2012), 47.
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Speaking concretely, when we say “making experiments or making observations,” we mean that we devote ourselves to investigation and to research, that we make attempts and trials in order to gain facts from which the mind, through reasoning, may draw knowledge or instruction.
Speaking in the abstract, when we say “relying on observation and gaining experience,” we mean that observation is the mind's support in reasoning, and experience the mind's support in deciding, or still better, the fruit of exact reasoning applied to the interpretation of facts. It follows from this that we can gain experience without making experiments, solely by reasoning appropriately about well-established facts, just as we can make experiments and observations without gaining experience, if we limit ourselves to noting facts.
Observation, then, is what shows facts; experiment is what teaches about facts and gives experience in relation to anything.
From An Introduction to the Study of Experimental Medicine (1865), as translated by Henry Copley Greene (1957), 11.
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Specialist—A man who knows more and more about less and less.
Modern Hospital (Sep 1939). [Also attributed to Nicholas Butler.]
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Specialization has gotten out of hand. There are more branches in the tree of knowledge than there are in the tree of life. A petrologist studies rocks; a pedologist studies soils. The first one sieves the soil and throws away the rocks. The second one picks up the rocks and brushes off the soil. Out in the field, they bump into each other only like Laurel and Hardy, by accident, when they are both backing up.
In The Next One Hundred Years (1990).
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Statistical accounts are to be referred to as a dictionary by men of riper years, and by young men as a grammar, to teach them the relations and proportions of different statistical subjects, and to imprint them on the mind at a time when the memory is capable of being impressed in a lasting and durable manner, thereby laying the foundation for accurate and valuable knowledge.
In The Statistical Breviary: Shewing, on a Principle Entirely New, the Resources of Every State and Kingdom in Europe (1801), 5-6.
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Statistics, one may hope, will improve gradually, and become good for something. Meanwhile, it is to be feared the crabbed satirist was partly right, as things go: “A judicious man,” says he, “looks at Statistics, not to get knowledge, but to save himself from having ignorance foisted on him.”
In Chartism (1839, 1840), 10.
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Stay in college, get the knowledge. And stay there until you’re through. If they can make penicillin out of moldy bread, they can sure make something out of you.
Advice to a young person to continue his education.
From address to students at New School for Social Research, New York City, 'Words of the Week',Jet (3 Jan 1980), 57, No. 16, 32.
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Strong, deeply rooted desire is the starting point of all achievement. Just as the electron is the last unit of matter discernible to the scientist. DESIRE is the seed of all achievement; the starting place, back of which there is nothing, or at least there is nothing of which we have any knowledge.
…...
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Students using astrophysical textbooks remain essentially ignorant of even the existence of plasma concepts, despite the fact that some of them have been known for half a century. The conclusion is that astrophysics is too important to be left in the hands of astrophysicists who have gotten their main knowledge from these textbooks. Earthbound and space telescope data must be treated by scientists who are familiar with laboratory and magnetospheric physics and circuit theory, and of course with modern plasma theory.
[Lamenting the traditional neglect of plasma physics]
Quoted in Anthony L. Peratt, 'Dean of the Plasma Dissidents', Washington Times, supplement: The World and I (May 1988),197.
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Students who have attended my [medical] lectures may remember that I try not only to teach them what we know, but also to realise how little this is: in every direction we seem to travel but a very short way before we are brought to a stop; our eyes are opened to see that our path is beset with doubts, and that even our best-made knowledge comes but too soon to an end.
In Notes on the Composition of Scientific Papers (1904), 3.
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Subtle as the mind is it can effect little without knowledge. It cannot construct a bridge, or a building, or make a canal, or work a problem in algebra, unless it is provided with information.
In Chap. 7, The Story of My Heart: My Autobiography (1883), 176.
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Such instances of the almost infinite unpredictability of man are known to social scientists, but they are no more affected by them than the asylum inmate is by being told that he is not Napoleon.
In Science is a Sacred Cow (1950), 156.
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Such is always the pursuit of knowledge. The celestial fruits, the golden apples of the Hesperides, are ever guarded by a hundred-headed dragon which never sleeps, so that it is an Herculean labor to pluck them.
In The Writings of Henry David Thoreau: V; Excursions and Poems (1906), 307.
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Sufficient knowledge and a solid background in the basic sciences are essential for all medical students. But that is not enough. A physician is not only a scientist or a good technician. He must be more than that—he must have good human qualities. He has to have a personal understanding and sympathy for the suffering of human beings.
From interview with Benjamin Fine, 'Einstein Stresses Critical Thinking', New York Times (5 Oct 1952), 37.
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Suppose it were perfectly certain that the life and fortune of every one of us would, one day or other, depend upon his winning or losing a game of chess. Don't you think that we should all consider it to be a primary duty to learn at least the names and the moves of the pieces; to have a notion of a gambit, and a keen eye for all the means of giving and getting out of check? Do you not think that we should look with a disapprobation amounting to scorn upon the father who allowed his son, or the state which allowed its members, to grow up without knowing a pawn from a knight?
Yet, it is a very plain and elementary truth that the life, the fortune, and the happiness of every one of us, and, more or less, of those who are connected with us, do depend upon our knowing something of the rules of a game infinitely more difficult and complicated than chess. It is a game which has been played for untold ages, every man and woman of us being one of the two players in a game of his or her own. The chess-board is the world, the pieces are the phenomena of the universe, the rules of the game are what we call the laws of nature. The player on the other side is hidden from us. We know that his play is always fair, just, and patient. But also we know, to our cost, that he never overlooks a mistake, or makes the smallest allowance for ignorance. To the man who plays well the highest stakes are paid with that sort of overflowing generosity with which the strong shows delight in strength. And one who plays ill is checkmated—without haste, but without remorse.
Address to the South London Working Men’s College. 'A Liberal Education; and Where to Find It', in David Masson, (ed.), Macmillan’s Magazine (Mar 1868), 17, 369. Also in 'A Liberal Education and Where to Find it' (1868). In Collected Essays (1893), Vol. 3, 82.
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Suppose that we are wise enough to learn and know—and yet not wise enough to control our learning and knowledge, so that we use it to destroy ourselves? Even if that is so, knowledge remains better than ignorance. It is better to know—even if the knowledge endures only for the moment that comes before destruction—than to gain eternal life at the price of a dull and swinish lack of comprehension of a universe that swirls unseen before us in all its wonder. That was the choice of Achilles, and it is mine, too.
Widely seen on the Web, but always without citation, so regard attribution as uncertain. Webmaster has not yet found reliable verification. Contact Webmaster if you know a primary print source.
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Surgical knowledge depends on long practice, not from speculations.
'Letter to Borghese' (27 Jul 1689), quoted in H.B. Adelmann (ed.), The Correspondence of Marcello Malpighi (1975), Vol. 4, 1486.
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Take an arrow, and hold it in flame for the space of ten pulses, and when it cometh forth you shall find those parts of the arrow which were on the outsides of the flame more burned, blacked, and turned almost to coal, whereas the midst of the flame will be as if the fire had scarce touched it. This is an instance of great consequence for the discovery of the nature of flame; and sheweth manifestly, that flame burneth more violently towards the sides than in the midst.
Observing, but not with the knowledge, that a flame burns at its outside in contact with air, and there is no combustion within the flame which is not mixed with air. In Sylva Sylvarum; or a Natural History in Ten Centuries (1627), Century 1, Experiment 32. Collected in The Works of Francis Bacon (1740), Vol 3, 9.
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Taking … the mathematical faculty, probably fewer than one in a hundred really possess it, the great bulk of the population having no natural ability for the study, or feeling the slightest interest in it*. And if we attempt to measure the amount of variation in the faculty itself between a first-class mathematician and the ordinary run of people who find any kind of calculation confusing and altogether devoid of interest, it is probable that the former could not be estimated at less than a hundred times the latter, and perhaps a thousand times would more nearly measure the difference between them.
[* This is the estimate furnished me by two mathematical masters in one of our great public schools of the proportion of boys who have any special taste or capacity for mathematical studies. Many more, of course, can be drilled into a fair knowledge of elementary mathematics, but only this small proportion possess the natural faculty which renders it possible for them ever to rank high as mathematicians, to take any pleasure in it, or to do any original mathematical work.]
In Darwinism, chap. 15.
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Talent accumulates knowledge, and has it packed up in the memory; genius assimilates it with its own substance, grows with every new accession, and converts knowledge into power.
In 'Genius', Wellman’s Miscellany (Dec 1871), 4, No. 6, 203.
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Talent deals with the actual, with discovered and realized truths, any analyzing, arranging, combining, applying positive knowledge, and, in action, looking to precedents. Genius deals with the possible, creates new combinations, discovers new laws, and acts from an insight into new principles.
In 'Genius', Wellman’s Miscellany (Dec 1871), 4, No. 6, 203.
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Teach your tongue to say “I do not know” and you will progress.
As quoted in Robert Taylor, White Coat Tales: Medicine's Heroes, Heritage, and Misadventures (2010), 124.
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Technology is so much fun but we can drown in our technology. The fog of information can drive out knowledge.
Speaking on the computerization of libraries. As quoted by Barbara Gamarekian in 'Working Profile: Daniel J. Boorstin. Helping the Library of Congress Fulfill Its Mission', New York Times (8 Jul 1983), B6.
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Technology means the systematic application of scientific or other organized knowledge to practical tasks.
In 'The Imperatives of Technology', The New Industrial State (1967), Chap. 2, 12.
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That a country, [England], eminently distinguished for its mechanical and manufacturing ingenuity, should be indifferent to the progress of inquiries which form the highest departments of that knowledge on whose more elementary truths its wealth and rank depend, is a fact which is well deserving the attention of those who shall inquire into the causes that influence the progress of nations.
Reflections on the Decline of Science in England and on Some of its Causes (1830), 1.
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That ability to impart knowledge … what does it consist of? … a deep belief in the interest and importance of the thing taught, a concern about it amounting to a sort of passion. A man who knows a subject thoroughly, a man so soaked in it that he eats it, sleeps it and dreams it—this man can always teach it with success, no matter how little he knows of technical pedagogy. That is because there is enthusiasm in him, and because enthusiasm is almost as contagious as fear or the barber’s itch. An enthusiast is willing to go to any trouble to impart the glad news bubbling within him. He thinks that it is important and valuable for to know; given the slightest glow of interest in a pupil to start with, he will fan that glow to a flame. No hollow formalism cripples him and slows him down. He drags his best pupils along as fast as they can go, and he is so full of the thing that he never tires of expounding its elements to the dullest.
This passion, so unordered and yet so potent, explains the capacity for teaching that one frequently observes in scientific men of high attainments in their specialties—for example, Huxley, Ostwald, Karl Ludwig, Virchow, Billroth, Jowett, William G. Sumner, Halsted and Osler—men who knew nothing whatever about the so-called science of pedagogy, and would have derided its alleged principles if they had heard them stated.
In Prejudices: third series (1922), 241-2.
For a longer excerpt, see H.L. Mencken on Teaching, Enthusiasm and Pedagogy.
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That form of popular science which merely recites the results of investigations, which merely communicates useful knowledge, is from this standpoint bad science, or no science at all. … Apply this test to every work professing to give a popular account of any branch of science. If any such work gives a description of phenomena that appeals to his imagination rather than to his reason, then it is bad science.
From The Grammar of Science (1892), 12.
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That hemisphere of the moon which faces us is better known than the earth itself; its vast desert plains have been surveyed to within a few acres; its mountains and craters have been measured to within a few yards; while on the earth's surface there are 30,000,000 square kilometres (sixty times the extent of France), upon which the foot of man has never trod, which the eye of man has never seen.
In 'Mars, by the Latest Observations', Popular Science (Dec 1873), 4, 187.
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That mathematics “do not cultivate the power of generalization,”; … will be admitted by no person of competent knowledge, except in a very qualified sense. The generalizations of mathematics, are, no doubt, a different thing from the generalizations of physical science; but in the difficulty of seizing them, and the mental tension they require, they are no contemptible preparation for the most arduous efforts of the scientific mind. Even the fundamental notions of the higher mathematics, from those of the differential calculus upwards are products of a very high abstraction. … To perceive the mathematical laws common to the results of many mathematical operations, even in so simple a case as that of the binomial theorem, involves a vigorous exercise of the same faculty which gave us Kepler’s laws, and rose through those laws to the theory of universal gravitation. Every process of what has been called Universal Geometry—the great creation of Descartes and his successors, in which a single train of reasoning solves whole classes of problems at once, and others common to large groups of them—is a practical lesson in the management of wide generalizations, and abstraction of the points of agreement from those of difference among objects of great and confusing diversity, to which the purely inductive sciences cannot furnish many superior. Even so elementary an operation as that of abstracting from the particular configuration of the triangles or other figures, and the relative situation of the particular lines or points, in the diagram which aids the apprehension of a common geometrical demonstration, is a very useful, and far from being always an easy, exercise of the faculty of generalization so strangely imagined to have no place or part in the processes of mathematics.
In An Examination of Sir William Hamilton’s Philosophy (1878), 612-13.
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That Mettals, Small Stones, Rocky-Stones, Sulphurs, Salts, and so the whole rank of Minerals, do find their Seeds in the Matrix or Womb of the Waters, which contain the Reasons, Gifts, Knowledges, Progresses, Appointments, Offices, and Durations of the same.
Oriatrike: Or, Physick Refined, trans. John Chandler (1662), 693.
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That only Galileo’s physical finger is preserved but the descendants of his techniques thrive is also symbolic of the transitoriness of personal existence in contrast to the immortality of knowledge.
In Galileo's Finger: The Ten Great Ideas of Science (2003), 1.
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That our knowledge only illuminates a small corner of the Universe, that it is incomplete, approximate, tentative and merely probable need not concert us. It is genuine nevertheless. Physical science stands as one of the great achievements of the human spirit.
Scientific Method: An Inquiry into the Character and Validy of Natural Law (1923), 201-202.
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That the great majority of those who leave school should have some idea of the kind of evidence required to substantiate given types of belief does not seem unreasonable. Nor is it absurd to expect that they should go forth with a lively interest in the ways in which knowledge is improved and a marked distaste for all conclusions reached in disharmony with the methods of scientific inquiry.
Address to Section L, Education, of the American Association for the Advancement of Science, at Boston (1909), 'Science as Subject-Matter and as Method'. Published in Science (28 Jan 1910), N.S. Vol. 31, No. 787, 126.
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The “British Association for the Promotion of Science,” … is almost necessary for the purposes of science. The periodical assemblage of persons, pursuing the same or différent branches of knowledge, always produces an excitement which is favourable to the development of new ideas; whilst the long period of repose which succeeds, is advantageous for the prosecution of the reasonings or the experiments then suggested; and the récurrence of the meeting in the succeeding year, will stimulate the activity of the inquirer, by the hope of being then enabled to produce the successful result of his labours.
In 'Future Prospects', On the Economy of Machinery and Manufactures (1st ed., 1832), chap. 32, 274. Note: The British Association for the Advancement of Science held its first meeting at York in 1831, the year before the first publication of this book in 1832.
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The acquired [space exploration] technology has immediately been aimed at practical and profitable applications: worldwide communications, global positioning systems for ships and aircraft, and remote sensing to better know our planet and monitor its resources and to trace migrations of whales, fish, and birds. Unfortunately, it is now almost monopolized by the military.
Written for 'Foreword' to Kevin W. Kelley (ed.), The Home Planet (1988), paragraph 5 (unpaginated).
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The action of the mind in the acquisition of knowledge of any sort is synthetic-analytic; that is, uniting and separating. These are the two sides, or aspects, of the one process. … There is no such thing as a synthetic activity that is not accompanied by the analytic; and there is no analytic activity that is not accompanied by the synthetic. Children cannot be taught to perform these knowing acts. It is the nature of the mind to so act when it acts at all.
In The Public-School Journal (Jan 1895), Vol. 14, 281-282.
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The advance of scientific knowledge does not seem to make either our universe or our inner life in it any less mysterious.
The Sciences and Philosophy: Gifford Lectures, University of Glasgow, 1927 & 1925 (1929), 165.
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The amount of knowledge which we can justify from evidence directly available to us can never be large. The overwhelming proportion of our factual beliefs continue therefore to be held at second hand through trusting others, and in the great majority of cases our trust is placed in the authority of comparatively few people of widely acknowledged standing.
Personal Knowledge (1958), 208.
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The analysis of Nature into its individual parts, the grouping of the different natural processes and natural objects in definite classes, the study of the internal anatomy of organic bodies in their manifold forms—these were the fundamental conditions of the gigantic strides in our knowledge of Nature which have been made during the last four hundred years. But this method of investigation has also left us as a legacy the habit of observing natural objects and natural processes in their isolation, detached from the whole vast interconnection of things; and therefore not in their motion, but in their repose; not as essentially changing, but fixed constants; not in their life, but in their death.
Herr Eugen Dühring's Revolution in Science (Anti-Dühring), First Publication (1878). Trans. Emile Burns and ed. C.P. Dutt (1935), 27-8.
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The architect should be equipped with knowledge of many branches of study and varied kinds of learning, for it is by his judgement that all work done by the other arts is put to test. This knowledge is the child of practice and theory.
Vitruvius
In De Architectura, Book 1, Chap 1, Sec. 1. As translated in Morris Hicky Morgan (trans.), Vitruvius: The Ten Books on Architecture (1914), 3.
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The art and science of asking questions is the source of all knowledge.
Epigraph, without source citation, in The Art & Science of Assessing General Education Outcomes: A Practical Guide (2005), 1.
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The art of being wise is the art of knowing what to overlook.
In The Principles of Psychology (1918), Vol. 2, 369.
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The art of writing history is the art of emphasizing the significant facts at the expense of the insignificant. And it is the same in every field of knowledge. Knowledge is power only if a man knows what facts not to bother about.
In The Orange Tree: A Volume of Essays (1926), 60.
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The atheist movement declares religion to be an arbitrary illusion—devised by power-hungry priests—for the pious belief in a higher Power over us. At this point, it is not surprising that the atheist movement describes religion with only words of mockery. The atheist movement eagerly makes use of the advance of scientific knowledge. In apparent unity with the progress of science, atheism accelerates its subverting action on the peoples of earth in all social classes. In short, after a victory by atheism, not only all the most precious wealth of our culture would topple, but—what is worse—the prospects for a better future also fade.
This is a loose translation by Webmaster. It has been gently rephrased for clarity, from a passage in Religion und Naturwissenschaft, Vortrag Gehalten im Baltikum Mai 1937 (1958), 7. The passage in the original German is prolix. The original German version of this quote can be found, together with a closer translation, elsewhere on this web page, beginning: “Under these circumstances….”
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The atmosphere is much too near for dreams. It forces us to action. It is close to us. We are in it and of it. It rouses us both to study and to do. We must know its moods and also its motive forces.
From Address (16 Mar 1909) at Columbia University, printed in 'Meteorology of the Future', Popular Science Monthly (Dec 1910), 78, 22.
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The attainment of knowledge is the high and exclusive attribute of man, among the numberless myriads of animated beings, inhabitants of the terrestrial globe. On him alone is bestowed, by the bounty of the Creator of the universe, the power and the capacity of acquiring knowledge. Knowledge is the attribute of his nature which at once enables him to improve his condition upon earth, and to prepare him for the enjoyment of a happier existence hereafter.
Report, as chairman of a committee, on the establishment of the Smithsonian Institution (Jan 1836). In Josiah Quincy, Memoir of the life of John Quincy Adams (1858), 265.
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The barrenness of doubt had to make itself felt before it could be supplanted by knowledge. It was not until Hume, by carrying scepticism to its uttermost extent, had shown its unsatisfactory character and vain results, that the germs of scientific method, implanted by Bacon and Descartes, could develop and bear fruit in the positive philosophy of Comte.
In 'Mr. Buckle’s Fallacies', Darwinism and Other Essays (1893), 190.
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The basis of the discovery is imagination, careful reasoning and experimentation where the use of knowledge created by those who came before is an important component.
Nobel Banquet speech (10 Dec 1982). In Wilhelm Odelberg (ed.), Les Prix Nobel. The Nobel Prizes 1982 (1983)
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The beginning of wisdom is the statement “I do not know.” The person who cannot make that statement is one who will never learn anything.
In World of Warcraft: Cycle of Hatred (2007), 77.
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The bent of our time is towards science, towards knowing things as they are …
On the Study of Celtic Literature (1867), in R.H. Super (ed.) The Complete Prose Works of Matthew Arnold: Lectures and Essays in Criticism (1962), Vol. 3, 298.
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The biggest difficulty with mankind today is that our knowledge has increased so much faster than our wisdom
…...
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The biggest thrill of my life was finding out something that nobody in the world ever knew before. Another gratification is a recognition of the fact that you really do understand a lot of things that go on in the world that most people don’t—like planets moving around the sun.
In interview, Rushworth M. Kidder, 'Grounded in Space Science', Christian Science Monitor (22 Dec 1989).
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The book of knowledge of ingenious mechanical devices.
The Book of Knowledge of Ingenious Mechanical Devices (c. 1204 or 1206).
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The books of the great scientists are gathering dust on the shelves of learned libraries. ... While the artist's communication is linked forever with its original form, that of the scientist is modified, amplified, fused with the ideas and results of others and melts into the stream of knowledge and ideas which forms our culture. The scientist has in common with the artist only this: that he can find no better retreat from the world than his work and also no stronger link with the world than his work.
From Nobel Lecture (10 Dec 1969), 'A Physicist's Renewed Look at Biology – Twenty Years Later.' in Nobel Lectures, Physiology or Medicine 1963-1970 (1972), 409.
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The century of biology upon which we are now well embarked is no matter of trivialities. It is a movement of really heroic dimensions, one of the great episodes in man’s intellectual history. The scientists who are carrying the movement forward talk in terms of nucleo-proteins, of ultracentrifuges, of biochemical genetics, of electrophoresis, of the electron microscope, of molecular morphology, of radioactive isotopes. But do not be misled by these horrendous terms, and above all do not be fooled into thinking this is mere gadgetry. This is the dependable way to seek a solution of the cancer and polio problems, the problems of rheumatism and of the heart. This is the knowledge on which we must base our solution of the population and food problems. This is the understanding of life.
Letter to H. M. H. Carsan (17 Jun 1949). Quoted in Raymond B. Fosdick, The Story of the Rockefeller Foundation (1952), 166.
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The chemist studies the effects produced by heat and by mixture, in all bodies, or mixtures of bodies, natural or artificial, and studies them with a view to the improvement of arts, and the knowledge of nature.
Restating his own definition in fewer words, from the first of a series of lectures on chemistry, collected in John Robison (ed.), Lectures on the Elements of Chemistry: Delivered in the University of Edinburgh (1807), Vol. 1, 11.
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The chief requisite for the making of a good chicken pie is chicken; nay, no amount of culinary legerdemain can make up for the lack of chicken. In the same way, the chief requisite for the history of science is intimate scientific knowledge; no amount of philosophic legerdemain can make up for its absence.
In 'The Teaching of the History of Science', The Scientific Monthly (Sep 1918), 194.
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The child asks, “What is the moon, and why does it shine?” “What is this water and where does it run?” “What is this wind?” “What makes the waves of the sea?” “Where does this animal live, and what is the use of this plant?” And if not snubbed and stunted by being told not to ask foolish questions, there is no limit to the intellectual craving of a young child; nor any bounds to the slow, but solid, accretion of knowledge and development of the thinking faculty in this way. To all such questions, answers which are necessarily incomplete, though true as far as they go, may be given by any teacher whose ideas represent real knowledge and not mere book learning; and a panoramic view of Nature, accompanied by a strong infusion of the scientific habit of mind, may thus be placed within the reach of every child of nine or ten.
In 'Scientific Education', Lay Sermons, Addresses, and Reviews (1870), 71. https://books.google.com/books?id=13cJAAAAIAAJ Thomas Henry Huxley - 1870
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The choice of zoology as a main subject [at university] was to follow up my childhood love of nature. … My animal studies never became quite what I had hoped for. We hardly heard of wild beasts and the way they lived in the wilderness. We sliced up intestines and looked at them under the microscope … but their life and function in the environment was ignored in favor of their Latin names. … Was our knowledge of nature superior to, or only different from, that of the eagle-eyed Polynesian islanders, who specialized in appraising nature the way it could best benefit man? I had to think as a scientist now. Not as a Polynesian yet. Knowledge was to be sought independently of its purpose.
In Ch. 1, 'Farewell to Civilization', Fatu-Hiva (1974), 9-10.
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The Commissioner of Patents may be likened to a wine merchant. He has in his office the wine of human progress of every kind and quality—wine, one may say, produced from the fermentation of the facts of the world through the yeast of human effort. Sometimes the yeast is “wild” and sometimes the “must” is poor, and while it all lies there shining with its due measure of the sparkle of divine effort, it is but occasionally that one finds a wine whose bouquet is the result of a pure culture on the true fruit of knowledge. But it is this true, pure wine of discovery that is alone of lasting significance.
In Some Chemical Problems of Today (1911), 108.
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The Commonwealth of Learning is not at this time without Master-Builders, whose mighty Designs, in advancing the Sciences, will leave lasting Monuments to the Admiration of Posterity; But every one must not hope to be a Boyle, or a Sydenham; and in an Age that produces such Masters, as the Great-Huygenius, and the incomparable Mr. Newton, with some other of that Strain; 'tis Ambition enough to be employed as an Under-Labourer in clearing Ground a little, and removing some of the Rubbish, that lies in the way to Knowledge.
An Essay Concerning Human Understanding (1690). Edited by Peter Nidditch (1975), The Epistle to the Reader, 9-10.
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The complacent manner in which geologists have produced their theories has been extremely amusing; for often with knowledge (and that frequently inaccurate) not extending beyond a given province, they have described the formation of a world with all the detail and air of eye-witnesses. That much good ensues, and that the science is greatly advanced, by the collision of various theories, cannot be doubted. Each party is anxious to support opinions by facts. Thus, new countries are explored, and old districts re-examined; facts come to light that do not suit either party; new theories spring up; and, in the end, a greater insight into the real structure of the earth's surface is obtained.
Sections and Views Illustrative of Geological Phenomena (1830), iii.
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The conception of objective reality … has thus evaporated … into the transparent clarity of mathematics that represents no longer the behavior of particles but rather our knowledge of this behavior.
In 'The Representation of Nature in Contemporary Physics', Daedalus (1958), 87, 95-108. As cited in Karl Popper, Quantum Theory and the Schism in Physics (1992), 85.
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The consideration of mathematics is at the base of knowledge of the mind as it is at the base of the natural sciences, and for the same reason: the free and fertile work of thought dates from that epoch when mathematics brought to man the true norm of truth.
As translated in James Byrnie Shaw, Lectures on the Philosophy of Mathematics (1918), 193. From Léon Brunschvicg, Les Étapes de La Philosophie Mathématique (1912), 577, “La considération de la mathématique est à la base de la connaissance de l’esprit comme elle est à la base des sciences de la nature, et pour une même raison: l’œuvre libre et féconde de la pensée date de l’époque où la mathématique vint apporter à l’homme la norme véritable de la vérité.”
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The contributions of physiological knowledge to an understanding of distribution are necessarily inferential. Distribution is a historical phenomenon, and the data ordinarily obtained by students of physiology are essentially instantaneous. However, every organism has a line of ancestors which extends back to the beginning of life on earth and which, during this immensity of time, has invariably been able to avoid, to adapt to, or to compensate for environmental changes.
From 'The role of physiology in the distribution of terrestrial vertebrates', collected in C.L. Hubbs (ed.), Zoogeography: Publ. 51 (1958), 84.
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The cult of individual personalities is always, in my view, unjustified. To be sure, nature distributes her gifts variously among her children. But there are plenty of the well-endowed ones too, thank God, and I am firmly convinced that most of them live quiet, unregarded lives. It strikes me as unfair, and even in bad taste, to select a few of them for boundless admiration, attributing superhuman powers of mind and character to them. This has been my fate, and the contrast between the popular estimate of my powers and achievements and the reality is simply grotesque. The consciousness of this extraordinary state of affairs would be unbearable but for one great consoling thought: it is a welcome symptom in an age which is commonly denounced as materialistic, that it makes heroes of men whose ambitions lie wholly in the intellectual and moral sphere. This proves that knowledge and justice are ranked above wealth and power by a large section of the human race. My experience teaches me that this idealistic outlook is particularly prevalent in America, which is usually decried as a particularly materialistic country.
From Mein Weltbild, as translated by Alan Harris (trans.), 'Some Notes on my American Impressions', The World as I See It (1956, 1993), 37-38.
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The dawn of the modern world was breaking in the era of the Renaissance before natural science took its stand on the firm ground of slowly won observation. Then, ceasing to be speculative philosophy, tossed about by every wind of doctrine, it became an independent and progressive branch of knowledge, developed by the healthy interaction of inductive observation and deductive reasoning.
In Science and the Human Mind: A Critical and Historical Account of the Development of Natural Knowledge (1912), 7. Co-authored with Catherine Durning Whetham (his wife).
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The degree of one’s emotions varies inversely with one’s knowledge of the facts—the less you know the hotter you get.
…...
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The Designe of the Royall Society being the Improvement of Naturall knowledge all ways and meanes that tend thereunto ought to be made use of in the prosecution thereof. Naturall knowledge then being the thing sought for, we are to consider by what meanes it may soonest easiest and most certainly attaind. These meanes we shall the sooner find if we consider where tis to be had to wit in three places. first in bookes, 2dly in men. 3ly in the things themselves. and these three point us out the search of books. the converse & correspondence with men the Experimenting and Examining the things themselves under each of these there is a multitude of businesse to be done but the first hath the Least [and is] the most easily attained, the 2d hath a great Deal and requires much en[deavour] and Industry; and the 3d is infinite and the difficultest of all.
'Proposals for advancement of the R[oyal] S[ociety]' (c.1700), quoted in Michael Hunter, Establishing the New Science: The Experience of the Early Royal Society (1989), 232.
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The dexterous management of terms and being able to fend and prove with them, I know has and does pass in the world for a great part of learning; but it is learning distinct from knowledge, for knowledge consists only in perceiving the habitudes and relations of ideas one to another, which is done without words; the intervention of sounds helps nothing to it. And hence we see that there is least use of distinction where there is most knowledge: I mean in mathematics, where men have determined ideas with known names to them; and so, there being no room for equivocations, there is no need of distinctions.
In Conduct of the Understanding, Sect. 31.
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The difference between myth and science is the difference between divine inspiration of “unaided reason” (as Bertrand Russell put it) on the one hand and theories developed in observational contact with the real world on the other. It is the difference between the belief in prophets and critical thinking, between Credo quia absurdum (I believe because it is absurd–Tertullian) and De omnibus est dubitandum (Everything should be questioned–Descartes). To try to write a grand cosmical drama leads necessarily to myth. To try to let knowledge substitute ignorance in increasingly large regions of space and time is science.
In 'Cosmology: Myth or Science?' Journal of Astrophysics and Astronomy (1984), 5, 79-98.
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The distinction is, that the science or knowledge of the particular subject-matter furnishes the evidence, while logic furnishes the principles and rules of the estimation of evidence.
In A System of Logic, Ratiocinative and Inductive: Being a Connected View of the Principles of Evidence, and the Methods of Scientific Investigation (1843), Vol. 1, 11.
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The end of knowledge is power ... the scope of all speculation is the performing of some action or thing to be done.
De Corp, EW, i, I, 1, 6, 7. In Jean Hampton, Hobbes and the social contract tradition (1988), 46. Hampton indicates that this quote is 'after Bacon' and in a footnote, that 'Hobbes was Bacon's secretary as a young man and had philosophical discussions with him (Aubrey 1898, 331).'
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The end of our foundation [Salomon's House in the New Atlantis] is the knowledge of Causes and the secret motions of things; and the enlarging of the bounds of Human Empire, to the effecting of all things possible.
In Francis Bacon and William Rawle (ed.), The Works of Francis Bacon: Philosophical Works (1887), 156.
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The End of our Foundation is the knowledge of Causes; and secret motions of things; and the enlarging of the bounds of Human Empire, to the effecting of all things possible.
'New Atlantis' (1626) in James Spedding, Robert Ellis and Douglas Heath (eds.), The Works of Francis Bacon (1887-1901), Vol. 3, 156.
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The ends to be attained [in Teaching of Mathematics in the secondary schools] are the knowledge of a body of geometrical truths, the power to draw correct inferences from given premises, the power to use algebraic processes as a means of finding results in practical problems, and the awakening of interest in the science of mathematics.
In 'Aim of the Mathematical Instruction', International Commission on Teaching of Mathematics, American Report: United States Bureau of Education: Bulletin 1912, No. 4, 7.
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The engineer is the key figure in the material progress of the world. It is his engineering that makes a reality of the potential value of science by translating scientific knowledge into tools, resources, energy and labor to bring them to the service of man ... To make contribution of this kind the engineer requires the imagination to visualize the needs of society and to appreciate what is possible as well as the technological and broad social age understanding to bring his vision to reality.
In Philip Sporn, Foundations of Engineering: Cornell College of Engineering Lectures, Spring 1963 (1964), 22.
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The equations of dynamics completely express the laws of the historical method as applied to matter, but the application of these equations implies a perfect knowledge of all the data. But the smallest portion of matter which we can subject to experiment consists of millions of molecules, not one of which ever becomes individually sensible to us. We cannot, therefore, ascertain the actual motion of anyone of these molecules; so that we are obliged to abandon the strict historical method, and to adopt the statistical method of dealing with large groups of molecules … Thus molecular science teaches us that our experiments can never give us anything more than statistical information, and that no law derived from them can pretend to absolute precision. But when we pass from the contemplation of our experiments to that of the molecules themselves, we leave a world of chance and change, and enter a region where everything is certain and immutable.
'Molecules' (1873). In W. D. Niven (ed.), The Scientific Papers of James Clerk Maxwell (1890), Vol. 2, 374.
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The essence of knowledge is generalization. That fire can be produced by rubbing wood in a certain way is a knowledge derived by generalization from individual experiences; the statement means that rubbing wood in this way will always produce fire. The art of discovery is therefore the art of correct generalization. ... The separation of relevant from irrelevant factors is the beginning of knowledge.
The Rise of Scientific Philosophy (1951), 5.
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The essence of knowledge is, having it, to apply it.
Confucius
…...
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The essence of modernity is that progress no longer waits on genius; instead we have learned to put our faith in the organized efforts of ordinary men. Science is as old as the race, but the effective organization of science is new. Ancient science, like placer mining, was a pursuit of solitary prospectors. Nuggets of truth were found, but the total wealth of knowledge increased slowly. Modern man began to transform this world when he began to mine the hidden veins of knowledge systematically.
In School and Society (1930), 31, 581.
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The examination system, and the fact that instruction is treated mainly as a training for a livelihood, leads the young to regard knowledge from a purely utilitarian point of view as the road to money, not as the gateway to wisdom.
In 'Education as a Political Institution', Atlantic Monthly, (Jun 1916), 117 755. Also in Principles of Social Reconstruction (1916, 2013), 113.
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The explorations of space end on a note of uncertainty. And necessarily so. … We know our immediate neighborhood rather intimately. With increasing distance our knowledge fades, and fades rapidly. Eventually, we reach the dim boundary—the utmost limits of our telescopes. There, we measure shadows, and we search among ghostly errors of measurement for landmarks that are scarcely more substantial. The search will continue. Not until the empirical resources are exhausted, need we pass on to the dreamy realms of speculation.
From conclusion of The Silliman Memorial Lectures Series delivered at Yale University (Fall 1935). Collected in The Realm of the Nebulae: The Silliman Memorial Lectures Series (1936), 201-202.
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The eyes of the world now look into space, to the moon and to the planets beyond, and we have vowed that we shall not see it governed by a hostile flag of conquest, but by a banner of freedom and peace. We have vowed that we shall not see space filled with weapons of mass destruction, but with instruments of knowledge and understanding.
Address at Rice University in Houston (12 Sep 1962). On website of John F. Kennedy Presidential Library and Museum. [This go-to-the-moon speech was largely written by presidential advisor and speechwriter Ted Sorensen.]
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The fact is, a biologist to-day [1928] is pretty much where an engineer would be if he knew even in detail the cycle of chemical changes which took place within an internal combustion engine but was wholly ignorant of the disposition of tho moving parts.
As guest of honour, closing day address (Jun 1928), Sixth Colloid Symposium, Toronto, Canada, 'Living Matter', printed in Harry Boyer Weiser (ed.), Colloid Symposium Monograph (1928), Vol. 6, 7.
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The fact that human life can be prolonged with fewer physical problems requires that we give increasing attention to improving the quality of life. As the poet Edwin Markham stated: “We are all fools until we know that in the common plan, nothing is worth the building if it does not build the man; why build these temples glorious, if man unbuilded goes?”
In 'Millenial Musings', Chemical & Engineering News (6 Dec 1999), 77, No. 49, 48.
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The fact that no limits exist to the destructiveness of this weapon [the “Super”, i.e. the hydrogen bomb] makes its very existence and the knowledge of its construction a danger to humanity as a whole. It is necessarily an evil thing considered in any light. For these reasons, we believe it important for the President of the United States to tell the American public and the world what we think is wrong on fundamental ethical principles to initiate the development of such a weapon.
Enrico Fermi and I.I. Rabi, 'Minority Report of the General Advisory Committee', United States Atomic Energy Commission: In the Matter of J. Robert Oppenheimer: Transcript of Hearing before Personnel Security Board, Washington, D.C. April 12th 1954—May 6th 1954 (1954), 79-80.
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The fact that stares one in the face is that people of the greatest sincerity and of all levels of intelligence differ and have always differed in their religious beliefs. Since at most one faith can be true, it follows that human beings are extremely liable to believe firmly and honestly in something untrue in the field of revealed religion. One would have expected this obvious fact to lead to some humility, to some thought that however deep one's faith, one may conceivably be mistaken. Nothing is further from the believer, any believer, than this elementary humility. All in his power … must have his faith rammed down their throats. In many cases children are indeed indoctrinated with the disgraceful thought that they belong to the one group with superior knowledge who alone have a private wire to the office of the Almighty, all others being less fortunate than they themselves.
From 'Religion is a Good Thing', collected in R. Duncan and M. Wesson-Smith (eds.) Lying Truths: A Critical Scruting of Current Beliefs and Conventions (1979), 205. As quoted in Paul Davies, God and the New Physics (1984), 6-7.
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The fairest thing we can experience is the mysterious. It is the fundamental emotion which stands at the cradle of true art and true science. He who knows it not and can no longer wonder, no longer feel amazement, is as good as dead, a snuffed-out candle. It was the experience of mystery–even if mixed with fear–that engendered religion. A knowledge of the existence of something we cannot penetrate, of the manifestations of the profoundest reason and the most radiant beauty, which are only accessible to our reason in their most elementary forms–it is this knowledge and this emotion that constitute the truly religious attitude; in this sense, and in this alone, I am a deeply religious man.
From 'What I Believe: Living Philosophies XIII', Forum and Century (Oct 1930), 84, No. 4, 193-194. Alan Harris (trans.), The World as I See It (1956, 1993), 5.
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The familiar idea of a god who is omniscient: someone who knows everything … does not immediately ring alarm bells in our brains; it is plausible that such a being could exist. Yet, when it is probed more closely one can show that omniscience of this sort creates a logical paradox and must, by the standards of human reason, therefore be judged impossible or be qualified in some way. To see this consider this test statement:
This statement is not known to be true by anyone.
Now consider the plight of our hypothetical Omniscient Being (“Big O”). Suppose first that this statement is true and Big O does not know it. Then Big O would not be omniscient. So, instead, suppose our statement is false. This means that someone must know the statement to be true; hence it must be true. So regardless of whether we assume at the outset that this statement is true or false, we are forced to conclude that it must be true! And therefore, since the statement is true, nobody (including Big O) can know that it is true. This shows that there must always be true statements that no being can know to be true. Hence there cannot be an Omniscient Being who knows all truths. Nor, by the same argument, could we or our future successors, ever attain such a state of omniscience. All that can be known is all that can be known, not all that is true.
In Impossibility: The Limits of Science and the Science of Limits (1999), 11.
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The fate of the physiology of the brain is independent of the truth and falsity of my assertions relative to the laws of the organization of the nervous system, in general, and of the brain in particular, just as the knowledge of the functions of a sense is independent of the knowledge of the structure of its apparatus.
Critical Review of Some Anatomical- Physiological Works; With an Explanation of a New Philosophy of the Moral Qualities and Intellectual Faculties (1835), 237-8.
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The fear of the Lord is the beginning of knowledge: but fools despise wisdom and instruction.
Bible
King James Version, Proverbs 1:7.
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The field of scientific abstraction encompasses independent kingdoms of ideas and of experiments and within these, rulers whose fame outlasts the centuries. But they are not the only kings in science. He also is a king who guides the spirit of his contemporaries by knowledge and creative work, by teaching and research in the field of applied science, and who conquers for science provinces which have only been raided by craftsmen.
While president of the German Chemical Society, making memorial remarks dedicated to the deceased Professor Lunge (Jan 1923). As quoted in Richard Willstätter, Arthur Stoll (ed. of the original German) and Lilli S. Hornig (trans.), From My Life: The Memoirs of Richard Willstätter (1958), 174-175.
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The final discovery is the discovery of knowledge.
Quotations: Superultramodern Science and Philosophy (2005).
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The first business of a man of science is to proclaim the truth as he finds it, and let the world adjust itself as best it can to the new knowledge.
Letter to R. M. Hunter, 23 October 1919. In Maila L. Walter, Science and Cultural Crisis: An Intellectual Biography of Percy Williams Bridgman (1990), 32.
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The first fundamental rule of historical science and research, when by these is sought a knowledge of the general destinies of mankind, is to keep these and every object connected with them steadily in view, without losing ourselves in the details of special inquiries and particular facts, for the multitude and variety of these subjects is absolutely boundless; and on the ocean of historical science the main subject easily vanishes from the eye.
In Friedrich von Schlegel and James Burton Robertson (trans.), The Philosophy of History (1835), 8.
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The first man of science was he who looked into a thing, not to learn whether it furnished him with food, or shelter, or weapons, or tools, armaments, or playwiths but who sought to know it for the gratification of knowing.
In Samuel Taylor Coleridge and ‎Ernest Hartley Coleridge (ed.), 'Chapter IX: 1814-1818', Anima Poetæ from the Unpublished Note-books of Samuel Taylor Coleridge (1895),
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The first step in knowledge is to learn that we are ignorant.
In Hialmer Day Gould, New Practical Spelling (1905), 15.
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The first steps in the path of discovery, and the first approximate measures, are those which add most to the existing knowledge of mankind.
Reflections on the Decline of Science in England (1830), 167.
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The first thing the reasonable man must do is to be content with a very little knowledge and a very great deal of ignorance. The second thing he must do is to make the utmost possible use of the knowledge he has and not waste his energy crying for the moon. The third thing he must do is try and see clearly where his knowledge ends and his ignorance begins.
Scientific Method: An Inquiry into the Character and Validy of Natural Law (1923), 177.
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The forces of nature, such as electricity for instance, were not discovered by men who started out with the set purpose of adapting them for utilitarian purposes. Scientific discovery and scientific knowledge have been achieved only by those who have gone in pursuit of it without any practical purpose whatsoever in view. … Heinrich Hertz, for instance, never dreamt that his discoveries would have been developed by Marconi and finally evolved into a system of wireless telegraphy.
In Max Planck and James Vincent Murphy (trans.), Where Is Science Going? (1932), 138.
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The fox knows many things—the hedgehog one big one.
A widely used aphorism, from ancient Greece. It appears for example, in Isaiah Berlin, The Hedgehog and the Fox: An Essay on Tolstoy’s View of History (1953), 1. It is usually taken to describe the division of thinkers between those with the single, all-embracing, central vision of a “hedgehog”, and the wide, varied considerations contemplated by a “fox”. Seen earlier in E. Diehl (ed.), Anthologia Lyrica Graeca (1925), 241, No. 103.
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The frontiers of science are separated now by long years of study, by specialized vocabularies, arts, techniques, and knowledge from the common heritage even of a most civilized society; and anyone working at the frontier of such science is in that sense a very long way from home, a long way too from the practical arts that were its matrix and origin, as indeed they were of what we today call art.
Address at the close of the year-long Bicentennial Celebration of Columbia University (26 Dec 54). Printed in 'Prospects in the Arts and Sciences', Bulletin of the Atomic Scientists (Feb 1955), 52.
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The fruit of the tree of knowledge, always drives man from some paradise or other.
Dean Inge
From Romanes Lecture (27 May 1920), 'The Idea of Progress', collected in Outspoken Essays: Second Series (1922), 159.
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The fundamental hypothesis of genetic epistemology is that there is a parallelism between the progress made in the logical and rational organization of knowledge and the corresponding formative psychological processes. With that hypothesis, the most fruitful, most obvious field of study would be the reconstituting of human history—the history of human thinking in prehistoric man. Unfortunately, we are not very well informed in the psychology of primitive man, but there are children all around us, and it is in studying children that we have the best chance of studying the development of logical knowledge, physical knowledge, and so forth.
'Genetic Epistemology', Columbia Forum (1969), 12, 4.
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The further the spiritual evolution of mankind advances, the more certain it seems to me that the path to genuine religiosity does not lie through the fear of life, and the fear of death, and blind faith, but through striving after rational knowledge.
…...
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The future of humanity is uncertain, even in the most prosperous countries, and the quality of life deteriorates; and yet I believe that what is being discovered about the infinitely large and the infinitely small is sufficient to absolve this end of the century and millennium. What a very few are acquiring in knowledge of the physical world will perhaps cause this period not to be judged as a pure return to barbarism.
In 'News from the Sky', Other People’s Trades (1989), 23-24.
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The general knowledge of our author [Leonhard Euler] was more extensive than could well be expected, in one who had pursued, with such unremitting ardor, mathematics and astronomy as his favorite studies. He had made a very considerable progress in medical, botanical, and chemical science. What was still more extraordinary, he was an excellent scholar, and possessed in a high degree what is generally called erudition. He had attentively read the most eminent writers of ancient Rome; the civil and literary history of all ages and all nations was familiar to him; and foreigners, who were only acquainted with his works, were astonished to find in the conversation of a man, whose long life seemed solely occupied in mathematical and physical researches and discoveries, such an extensive acquaintance with the most interesting branches of literature. In this respect, no doubt, he was much indebted to an uncommon memory, which seemed to retain every idea that was conveyed to it, either from reading or from meditation.
In Philosophical and Mathematical Dictionary (1815), 493-494.
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The good life is one inspired by life and guided by knowledge.
…...
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The great difference between science and technology is a difference of initial attitude. The scientific man follows his method whithersoever it may take him. He seeks acquaintance with his subject­matter, and he does not at all care about what he shall find, what shall be the content of his knowledge when acquaintance-with is transformed into knowledge-about. The technologist moves in another universe; he seeks the attainment of some determinate end, which is his sole and obsessing care; and he therefore takes no heed of anything that he cannot put to use as means toward that end.
Systematic Psychology: Prolegomena (1929), 66.
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The great end of life is not knowledge, but action. What men need is as much knowledge as they can organize for action; give them more and it may become injurious. Some men are heavy and stupid from undigested learning.
'Technical Education' (1877). In Collected Essays (1893), Vol. 3, 422. [A similar statement was made in the same time period by Karl Marx.]
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The great object I desire to accomplish by this institution [the Cooper Institute], is to open the avenues of scientific knowledge to the youth of our country, so unfolding the volume of Nature, that the young may see the beauties of creation.
Speech (17 Sep 1853), laying the foundation stone of the Cooper Institute, in New York Times (19 Sep 1853), 3. The article clarifies that although the ceremony was spoken of as the laying of the corner-stone, the basement stories were already completed at that time.
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The great object of all knowledge is to enlarge and purify the soul, to fill the mind with noble contemplations, to furnish a refined pleasure, and to lead our feeble reason from the works of nature up to its great Author and Sustainer. Considering this as the ultimate end of science, no branch of it can surely claim precedence of Astronomy. No other science furnishes such a palpable embodiment of the abstractions which lie at the foundation of our intellectual system; the great ideas of time, and space, and extension, and magnitude, and number, and motion, and power. How grand the conception of the ages on ages required for several of the secular equations of the solar system; of distances from which the light of a fixed star would not reach us in twenty millions of years, of magnitudes compared with which the earth is but a foot-ball; of starry hosts—suns like our own—numberless as the sands on the shore; of worlds and systems shooting through the infinite spaces.
Oration at Inauguration of the Dudley Astronomical Observatory, Albany (28 Jul 1856). Text published as The Uses of Astronomy (1856), 36.
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The great obstacle to discovering the shape of the earth, the continents, and the oceans was not ignorance, but the illusion of knowledge.
The Discoverers (1985), 86.
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The greater our knowledge increases the more our ignorance unfolds.
From Address at Rice Stadium (12 Sep 1962). On website of John F. Kennedy Presidential Library and Museum. [This go-to-the-moon speech was largely written by presidential advisor and speechwriter Ted Sorensen.]
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The greater the man, the more he is soaked in the atmosphere of his time; only thus can he get a wide enough grasp of it to be able to change substantially the pattern of knowledge and action.
Science in History (1954), 22.
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The greatest obstacle to discovery is not ignorance—it is the illusion of knowledge.
From interview, Carol Krucoff, 'The 6 O’Clock Scholar: Librarian of Congress Daniel Boorstin And His Love Affair With Books', The Washington Post (29 Jan 1984), K8.
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The growing complexity of civilized life demands with each age broader and more exact knowledge as to the material surroundings and greater precision in our recognition of the invisible forces or tendencies about us.
From Presidential Address (5 Dec 1896) to the Biological Society of Washington, 'The Malarial Parasite and Other Pathogenic Protozoa', Popular Science Monthly (Mar 1897), 642.
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The growth of our knowledge is the result of a process closely resembling what Darwin called “natural selection”; that is, the natural selection of hypotheses: our knowledge consists, at every moment, of those hypotheses which have shown their (comparative) fitness by surviving so far in their struggle for existence, a competitive struggle which eliminates those hypotheses which are unfit.
From Objective Knowledge: An Evolutionary Approach (1971), 261. As quoted in Dean Keith Simonton, Origins of Genius: Darwinian Perspectives on Creativity (1999), 26.
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The heart of the prudent getteth knowledge; and the ear of the wise seeketh knowledge.
Bible
King James Version, Proverbs 18:15.
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The High-Elves, … the Noldor or Loremasters, were always on the side of ‘science and technology’, as we should call it: they wanted to have the knowledge that Sauron genuinely had.
From Letter draft to Peter Hastings (manager of a Catholic bookshop in Oxford, who wrote about his enthusiasm for Lord of the Rings) (Sep 1954). In Humphrey Carpenter (ed.) assisted by Christopher Tolkien, The Letters of J.R.R. Tolkien (1995, 2014), 190, Letter No. 153.
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The highest purpose of science is the search for knowledge, truth and a greater understanding of the world around us. That will be my goal as President of the United States.
From weekly Democratic address as President-Elect, online video (20 Dec 2008), announcing his selection of science and technology advisers. C-Span video 282995-102.
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The historical order is very interesting, but accidental and capricious; if we would to understand the growth of knowledge, we cannot be satisfied with accidents, we must explain how knowledge was gradually built up.
In A History of Science: Volume 1: Ancient Science Through the Golden Age of Greece (1952), xi.
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The History of Evolution is the real source of light in the investigation of organic bodies. It is applicable at every step, and all our ideas of the correlation of organic bodies will be swayed by our knowledge of the history of evolution. To carry the proof of it into all branches of research would be an almost endless task. (1828)
Quoted as an epigraph to Chap. 3, in Ernst Haeckel, The Evolution of Man, (1886), Vol 1, 48.
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The history of the knowledge of the phenomena of life and of the organized world can be divided into two main periods. For a long time anatomy, and particularly the anatomy of the human body, was the α and ω of scientific knowledge. Further progress only became possible with the discovery of the microscope. A long time had yet to pass until through Schwann the cell was established as the final biological unit. It would mean bringing coals to Newcastle were I to describe here the immeasurable progress which biology in all its branches owes to the introduction of this concept of the cell concept. For this concept is the axis around which the whole of the modern science of life revolves.
Nobel Lecture (11 Dec 1908) 'Partial Cell Functions.' Collected in Nobel Lectures: Physiology or Medicine 1901-1921 (1967), 304.
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The history of the word sankhyā shows the intimate connection which has existed for more than 3000 years in the Indian mind between ‘adequate knowledge’ and ‘number.’ As we interpret it, the fundamental aim of statistics is to give determinate and adequate knowledge of reality with the help of numbers and numerical analysis. The ancient Indian word Sankhyā embodies the same idea, and this is why we have chosen this name for the Indian Journal of Statistics.
Editorial, Vol. 1, Part 1, in the new statistics journal of the Indian Statistical Institute, Sankhayā (1933). Also reprinted in Sankhyā: The Indian Journal of Statistics (Feb 2003), 65, No. 1, xii.
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The history of the world is replete with illustrations to the effect that the greater the ignorance the greater the abomination of unconforming opinion, and the greater the knowledge the greater the charity for dissenting opinions.
From address (1 Oct 1884), at inauguration of the Corcoran School of Science and Arts, Columbian University, Washington, D.C. Published in 'The Larger Import of Scientific Education', Popular Science Monthly (Feb 1885), 26, 456.
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The history of Western science confirms the aphorism that the great menace to progress is not ignorance but the illusion of knowledge.
In Cleopatra’s Nose: Essays on the Unexpected (1994), 7.
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The horrors of Vivisection have supplanted the solemnity, the thrilling fascination, of the old unetherized operation upon the human sufferer. Their recorded phenomena, stored away by the physiological inquisitor on dusty shelves, are mostly of as little present use to man as the knowledge of a new comet or of a tungstate of zirconium … —contemptibly small compared with the price paid for it in agony and torture.
From address to the Massachusetts Medical Society (7 Jun 1871), 'Medical Education in America', collected in Surgical Anaesthesia: Addresses, and Other Papers (1894, 1900), 309.
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The humble knowledge of thyself is a surer way to God than the deepest search after science.
…...
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The idea that our natural resources were inexhaustible still obtained, and there was as yet no real knowledge of their extent and condition. The relation of the conservation of natural resources to the problems of National welfare and National efficiency had not yet dawned on the public mind. The reclamation of arid public lands in the West was still a matter for private enterprise alone; and our magnificent river system, with its superb possibilities for public usefulness, was dealt with by the National Government not as a unit, but as a disconnected series of pork-barrel problems, whose only real interest was in their effect on the re-election or defeat of a Congressman here and there —a theory which, I regret to say, still obtains.
The Works of Theodore Roosevelt. Vol. 20: Theodore Roosevelt, An Autobiography (1926), 386.
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The ideal engineer is a composite ... He is not a scientist, he is not a mathematician, he is not a sociologist or a writer; but he may use the knowledge and techniques of any or all of these disciplines in solving engineering problems.
…...
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The ideal engineer is a composite. … He is not a scientist, he is not a mathematician, he is not a sociologist or a writer. But he may use the knowledge and techniques of any or all of these disciplines in solving problems.
Student, Teacher, and Engineer: Selected Speeches and Articles of Nathan W Dougherty (1972), 33.
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The ideas which these sciences, Geometry, Theoretical Arithmetic and Algebra involve extend to all objects and changes which we observe in the external world; and hence the consideration of mathematical relations forms a large portion of many of the sciences which treat of the phenomena and laws of external nature, as Astronomy, Optics, and Mechanics. Such sciences are hence often termed Mixed Mathematics, the relations of space and number being, in these branches of knowledge, combined with principles collected from special observation; while Geometry, Algebra, and the like subjects, which involve no result of experience, are called Pure Mathematics.
In The Philosophy of the Inductive Sciences (1868), Part 1, Bk. 2, chap. 1, sect. 4.
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The imagination merely enables us to wander into the darkness of the unknown where, by the dim light of the knowledge that we carry, we may glimpse something that seems of interest. But when we bring it out and examine it more closely it usually proves to be only trash whose glitter had caught our attention.
In The Art of Scientific Investigation (1957), 58.
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The important thing is not so much that every child should be taught, as that every child should have the opportunity of teaching itself. What does it matter if the pupil know a little more or a little less? A boy who leaves school knowing much, but hating his lessons, will soon have forgotten all he ever learned; while another who had acquired a thirst for knowledge, even if he had learned little, would soon teach himself more than the first ever knew.
[Elementary Education, Revised New Code (1871), Resolution.] Hansard's Parliamentary Debates (19 Jul 1872), vol. 207, 1463. Also in The Pleasures of Life (2007), 71.(Appleton, 1887), 183-184, or (2007), 71.
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The improver of natural knowledge absolutely refuses to acknowledge authority as such. For him, scepticism is the highest of duties, blind faith the one unpardonable sin. The man of science has learned to believe in justification, not by faith, but by verification.
In Lecture (7 Jan 1866), a Lay Sermon delivered at St. Martin’s Hall, 'Advisableness of Improving Natural Knowledge', Lay Sermons, Addresses, and Reviews (1872), 18. Previously published in Fortnightly Review.
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The incomplete knowledge of a system must be an essential part of every formulation in quantum theory. Quantum theoretical laws must be of a statistical kind. To give an example: we know that the radium atom emits alpha-radiation. Quantum theory can give us an indication of the probability that the alpha-particle will leave the nucleus in unit time, but it cannot predict at what precise point in time the emission will occur, for this is uncertain in principle.
The Physicist's Conception of Nature (1958), 41.
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The inhabitants of Harley Street and Wimpole Street had so taken up with their private practices that they had neglected to add to knowledge. The pursuit of learning had been handicapped by the pursuit of gain.
Anonymous
Royal Commission on University Education (1915). Quoted in Reginald Pound, Harley Street (1967), 186.
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The institutional goal of science is the extension of certified knowledge. The technical methods employed toward this end provide the relevant definition of knowledge: empirically confirmed and logically consistent predictions. The institutional imperatives (mores) derive from the goal and the methods. The entire structure of technical and moral norms implements the final objective. The technical norm of empirical evidence, adequate, valid and reliable, is a prerequisite for sustained true prediction; the technical norm of logical consistency, a prerequisite for systematic and valid prediction. The mores of science possess a methodologic rationale but they are binding, not only because they are procedurally efficient, but because they are believed right and good. They are moral as well as technical prescriptions. Four sets of institutional imperatives–universalism, communism, disinterestedness, organized scepticism–comprise the ethos of modern science.
Social Theory and Social Structure (1957), 552-3.
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The interpretation of dreams is the royal road to a knowledge of the unconscious activities of the mind.
The Interpretation of Dreams (1900), In James Strachey (ed.), The Standard Edition of the Complete Psychological Works of Sigmund Freud (1953), Vol. 5, 608.
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The intrinsic character of mathematical research and knowledge is based essentially on three properties: first, on its conservative attitude towards the old truths and discoveries of mathematics; secondly, on its progressive mode of development, due to the incessant acquisition of new knowledge on the basis of the old; and thirdly, on its self-sufficiency and its consequent absolute independence.
In Mathematical Essays and Recreations (1898), 87.
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The investigator may be made to dwell in a garret, he may be forced to live on crusts and wear dilapidated clothes, he may be deprived of social recognition, but if he has time, he can steadfastly devote himself to research. Take away his free time and he is utterly destroyed as a contributor to knowledge.
From 'The Career of the Investigator', collected in J. McKeen Cattell (ed.), Science and Education: Vol. 2: Medical Research and Education (1913), 301.
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The Johns Hopkins University certifies that John Wentworth Doe does not know anything but Biochemistry. Please pay no attention to any pronouncements he may make on any other subject, particularly when he joins with others of his kind to save the world from something or other. However, he worked hard for this degree and is potentially a most valuable citizen. Please treat him kindly.
[An imaginary academic diploma reworded to give a more realistic view of the value of the training of scientists.]
'Our Splintered Learning and the Nature of Scientists', Science (15 Apr 1955), 121, 516.
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The justification for [basic research] is that this constitutes the fount of all new knowledge, without which the opportunities for further technical progress must eventually become exhausted.
From a British government publication, Technological Innovation in Britain (1968), quoted by M. Gibbons and C. Johnson in 'Relationship between Science and Technology', Nature, (11 Jul 1970), 125. As cited in Arie Leegwater, 'Technology and Science', Stephen V. Monsma (ed.), Responsible Technology: A Christian Perspective (1986), 79.
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The key to SETI is to guess the type of communication that an alien society would use. The best guesses so far have been that they would use radio waves, and that they would choose a frequency based on 'universal' knowledge—for instance, the 1420 MHz hydrogen frequency. But these are assumptions formulated by the human brain. Who knows what sort of logic a superadvanced nonhuman life form might use? ... Just 150 years ago, an eyeblink in history, radio waves themselves were inconceivable, and we were thinking of lighting fires to signal the Martians.
Quoted on PBS web page related to Nova TV program episode on 'Origins: Do Aliens Exist in the Milky Way'.
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The knowledge of Natural-History, being Observation of Matters of Fact, is more certain than most others, and in my slender Opinion, less subject to Mistakes than Reasonings, Hypotheses, and Deductions are; ... These are things we are sure of, so far as our Senses are not fallible; and which, in probability, have been ever since the Creation, and will remain to the End of the World, in the same Condition we now find them.
A Voyage to the Islands Madera, Barbados, Nieves, S. Christophers and Jamaica: With the Natural History of the Herbs and Trees, Four-footed Beasts, Fishes, Birds, Insects, Reptiles, &c. of the Last of those Islands (1707), Vol. 1, 1.
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The knowledge we have aquired ought not to resemble a great shop without order, and without inventory; we ought to know what we possess, and be able to make it serve us in our need.
In Hialmer Day Gould, New Practical Spelling (1905), 27
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The knowledge whose content makes up astronomy is the gain from more than 2,000 years’ work on one of the most abundant objects of human knowledge, in which the foremost minds of all times have summoned up all the resources of genius and diligence.
From 'Inaugural Lecture on Astronomy', collected in G. Waldo Dunnington (ed.), Carl Friedrich Gauss: Inaugural Lecture on Astronomy and Papers on the Foundations of Mathematics (1937), 49.
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The known is finite, the unknown infinite; intellectually we stand on an islet in the midst of an illimitable ocean of inexplicability. Our business in every generation is to reclaim a little more land, to add something to the extent and the solidity of our possessions. And even a cursory glance at the history of the biological sciences during the last quarter of a century is sufficient to justify the assertion, that the most potent instrument for the extension of the realm of natural knowledge which has come into men’s hands, since the publication of Newton's ‘Principia’, is Darwin's ‘Origin of Species.’
From concluding remarks to a chapter by Thomas Huxley, 'On the Reception of the ‘Origin of Species’', the last chapter in Charles Darwin and Francis Darwin (ed.), The Life and Letters of Charles Darwin (1887), Vol. 1, 557.
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The large collection of problems which our modern Cambridge books supply will be found to be almost an exclusive peculiarity of these books; such collections scarcely exist in foreign treatises on mathematics, nor even in English treatises of an earlier date. This fact shows, I think, that a knowledge of mathematics may be gained without the perpetual working of examples. … Do not trouble yourselves with the examples, make it your main business, I might almost say your exclusive business, to understand the text of your author.
In 'Private Study of Mathematics', Conflict of Studies and other Essays (1873), 74.
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The law is this: that each of our leading conceptions—each branch of our knowledge—passes successively through three different theoretical conditions: the Theological, or fictitious; the Metaphysical, or abstract; and the Scientific, or positive.
The Positive Philosophy, trans. Harriet Martineau (1853), Vol. 1, 1-2.
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The law of the conservation of energy is already known, viz. that the sum of the actual and potential energies in the universe is unchangeable.
'On the General Law of the Transformation of Energy', Philosophical Magazine (1853), 5, 106.
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The laws of nature, as we understand them, are the foundation of our knowledge in natural things. So much as we know of them has been developed by the successive energies of the highest intellects, exerted through many ages. After a most rigid and scrutinizing examination upon principle and trial, a definite expression has been given to them; they have become, as it were, our belief or trust. From day to day we still examine and test our expressions of them. We have no interest in their retention if erroneous. On the contrary, the greatest discovery a man could make would be to prove that one of these accepted laws was erroneous, and his greatest honour would be the discovery.
Experimental researches in chemistry and physics (1859), 469.
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The laws of science are the permanent contributions to knowledge—the individual pieces that are fitted together in an attempt to form a picture of the physical universe in action. As the pieces fall into place, we often catch glimpses of emerging patterns, called theories; they set us searching for the missing pieces that will fill in the gaps and complete the patterns. These theories, these provisional interpretations of the data in hand, are mere working hypotheses, and they are treated with scant respect until they can be tested by new pieces of the puzzle.
In Commencement Address, California Institute of Technology (10 Jun 1938), 'Experiment and Experience'. Collected in abridged form in The Huntington Library Quarterly (Apr 1939), 2, No. 3, 244.
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The life and soul of science is its practical application, and just as the great advances in mathematics have been made through the desire of discovering the solution of problems which were of a highly practical kind in mathematical science, so in physical science many of the greatest advances that have been made from the beginning of the world to the present time have been made in the earnest desire to turn the knowledge of the properties of matter to some purpose useful to mankind.
From 'Electrical Units of Measurement', a lecture delivered at the Institution of Civil Engineers, London (3 May 1883), Popular Lectures and Addresses Vol. 1 (1891), 86-87.
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The major producer of the social chaos, the indeterminacy of thought and values that rational knowledge is supposed to eliminate, is none other than science itself.
In Zen and the Art of Motorcycle Maintenance (1974).
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The man of perfect knowledge should not unsettle the foolish whose knowledge is imperfect.
Anonymous
In Bhagavad-gîtâ, third discourse, v.29, translation by Annie Wood Besant (1904), 49.
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The mathematical facts worthy of being studied are those which, by their analogy with other facts, are capable of leading us to the knowledge of a physical law. They reveal the kinship between other facts, long known, but wrongly believed to be strangers to one another.
From Lecture to the Psychological Society, Paris, 'Mathematical Creation', translation collected in James Roy Newman The World of Mathematics (1956), Vol. 4, 2043.
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The mathematician pays not the least regard either to testimony or conjecture, but deduces everything by demonstrative reasoning, from his definitions and axioms. Indeed, whatever is built upon conjecture, is improperly called science; for conjecture may beget opinion, but cannot produce knowledge.
In Essays on the Intellectual Powers of Man, Essay 1, chap. 3.
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The mechanist is intimately convinced that a precise knowledge of the chemical constitution, structure, and properties of the various organelles of a cell will solve biological problems. This will come in a few centuries. For the time being, the biologist has to face such concepts as orienting forces or morphogenetic fields. Owing to the scarcity of chemical data and to the complexity of life, and despite the progresses of biochemistry, the biologist is still threatened with vertigo.
Problems of Morphogenesis in Ciliates: The Kinetosomes in Development, Reproduction and Evolution (1950), 92-3.
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The mere man of pleasure is miserable in old age, and the mere drudge in business is but little better, whereas, natural philosophy, mathematical and mechanical science, are a continual source of tranquil pleasure, and in spite of the gloomy dogmas of priests and of superstition, the study of these things is the true theology; it teaches man to know and admire the Creator, for the principles of science are in the creation, and are unchangeable and of divine origin.
Age of Reason (1794, 1818), 35.
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The mind can proceed only so far upon what it knows and can prove. There comes a point where the mind takes a higher plane of knowledge, but can never prove how it got there. All great discoveries have involved such a leap
As recollected from a visit some months earlier, and quoted in William Miller, 'Old Man’s Advice to Youth: “Never Lose a Holy Curiosity”', Life (2 May 1955), 64.
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The mind-stuff is not spread in space and time. But we must presume that in some other way or aspect it can be differentiated into parts. Only here and there does it arise to the level of consciousness, but from such islands proceeds all knowledge. The latter includes our knowledge of the physical world.
From Gifford Lecture, Edinburgh, (1927), 'Reality', collected in The Nature of the Physical World (1928), 277.
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The moon, which is a favorite of the poets and portrayed by the Buddhists as representing the esthetic qualities of peace, serenity and beauty, is now being conquered by man’s ever expanding knowledge of science and technology. What was a mere conceptional imagination is today a concrete reality. The American landing on the moon symbolizes the very acme of scientific achievement. It is indeed a phenomenal feat of far-reaching consequences for the world of science.
In 'Reactions to Man’s Landing on the Moon Show Broad Variations in Opinions', The New York Times (21 Jul 1969), 6.
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The more a man is imbued with the ordered regularity of all events the firmer becomes his conviction that there is no room left by the side of this ordered regularity for causes of a different nature. For him neither the rule of human nor the rule of divine will exists as an independent cause of natural events. To be sure, the doctrine of a personal God interfering with natural events could never be refuted, in the real sense, by science, for this doctrine can always take refuge in those domains in which scientific knowledge has not yet been able to set foot.
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The more intelligence mankind bestows upon technology, the less knowledge a child is required to learn. If this pattern is never changed, the generation of the future may become reduced to nothing more than lifeless drones born for nothing except pushing buttons on a machine that lives the lives of their masters.
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The most beautiful emotion we can experience is the mystical. It is the power of all true art and science. He to whom this emotion is a stranger, who can no longer wonder and stand rapt in awe, is as good as dead. To know that what is impenetrable to us really exists, manifesting itself as the highest wisdom and the most radiant beauty, which our dull faculties can comprehend only in their most primitive forms — this knowledge, this feeling, is at the center of true religiousness. In this sense, and in this sense only, I belong to the rank of devoutly religious men.
As quoted in Philip Frank, Einstein: His Life and Times (1947), chap. 12, sec. 5 - “Einstein’s Attitude Toward Religion.”
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The most direct, and in a sense the most important, problem which our conscious knowledge of Nature should enable us to solve is the anticipation of future events, so that we may arrange our present affairs in accordance with such anticipation. As a basis for the solution of this problem we always make use of our knowledge of events which have already occurred, obtained by chance observation or by prearranged experiment.
In Heinrich Hertz, D.E. Jones (trans.) and J.T. Walley (trans.), 'Introduction', The Principles of Mechanics (1899), 1.
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The most disgraceful cause of the scarcity [of remedies] is that even those who know them do not want to point them out, as if they were going to lose what they pass on to others.
Natural History, 25, 16. Trans. R. W. Sharples.
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The most important discoveries will provide answers to questions that we do not yet know how to ask and will concern objects that we can not yet imagine.
In Hubble Space Telescope flaw: hearing before the Committee on Science, Space, and Technology, U.S. House of Representatives, One Hundred First Congress, second session, July 13, 1990 (1990), 105.
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The most important effect of the suffrage is psychological. The permanent consciousness of power for effective action, the knowledge that their own thoughts have an equal chance with those of any other person … this is what has always rendered the men of a free state so energetic, so acutely intelligent, so powerful.
In “Common Sense” Applied to Woman Suffrage (1894), 180.
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The most merciful thing in the world, I think, is the inability of the human mind to correlate all its contents. We live on a placid island of ignorance in the midst of black seas of infinity, and it was not meant that we should voyage far. The sciences, each straining in its own direction, have hitherto harmed us little; but some day the piecing together of dissociated knowledge will open up such terrifying vistas of reality, and of our frightful position therein, that we shall either go mad from the revelation or flee from the light into the peace and safety of a new dark age.
Written in 1926, and first published in magazine, Weird Tales (Feb 1928), 11, No. 2, first paragraph. In The Call of Cthulhu (2014), 2.
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The motto in the pursuit of knowledge, of whatever kind, has always been, “Hope all things;—Prove all things.”
From Address (Oct 1874) delivered at Guy’s Hospital, 'On The Study of Medicine', printed in British Medical journal (1874), 2, 425. Collected in Sir William Withey Gull and Theodore Dyke Acland (ed.), A Collection of the Published Writings of William Withey Gull (1896), 5.
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The Native writer and educator Greg Cajete has written that we humans have the gifts of using mind, body, emotion, and spirit to understand the world—and that we cannot claim to truly understand unless we learn to use all four.
From interview with Stephanie Muise (19 May 2015) published on web site of Northland College.
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The natural history of an animal is the knowledge of the whole animal. Its internal structure is as much, and perhaps more, as its external form.
From 'Lettre à M. de la Cépède', collected in G. L. Duvernpy (ed.) Leçons d’Anatomie Comparée de Georges Cuvier: Tome IV, Première Partie: Corrigée et Augmentée (2nd ed. 1833), xxij. Translation using Google from the original French: “L'histoire naturelle d'un animal est la connaissance de tout l'animal. Sa structure interne est à lui autant, et peut-être plus, que sa forme extérieure.”
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The natural scientists of the previous age knew less than we do and believed they were very close to the goal: we have taken very great steps in its direction and now discover we are still very far away from it. With the most rational philosophers an increase in their knowledge is always attended by an increased conviction of their ignorance.
Aphorisms, trans. R. J. Hollingdale (1990), 89.
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The nature of the atoms, and the forces called into play in their chemical union; the interactions between these atoms and the non-differentiated ether as manifested in the phenomena of light and electricity; the structures of the molecules and molecular systems of which the atoms are the units; the explanation of cohesion, elasticity, and gravitation—all these will be marshaled into a single compact and consistent body of scientific knowledge.
In Light Waves and Their Uses? (1902), 163.
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The next care to be taken, in respect of the Senses, is a supplying of their infirmities with Instruments, and, as it were, the adding of artificial Organs to the natural; this in one of them has been of late years accomplisht with prodigious benefit to all sorts of useful knowledge, by the invention of Optical Glasses. By the means of Telescopes, there is nothing so far distant but may be represented to our view; and by the help of Microscopes, there is nothing so small, as to escape our inquiry; hence there is a new visible World discovered to the understanding. By this means the Heavens are open'd, and a vast number of new Stars, and new Motions, and new Productions appear in them, to which all the ancient Astronomers were utterly Strangers. By this the Earth it self, which lyes so neer us, under our feet, shews quite a new thing to us, and in every little particle of its matter, we now behold almost as great a variety of creatures as we were able before to reckon up on the whole Universe it self.
Micrographia, or some Physiological Descriptions of Minute Bodies made by Magnifying Glasses with Observations and Inquiries thereupon (1665), preface, sig. A2V.
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THE OATH. I swear by Apollo [the healing God], the physician and Aesclepius [son of Apollo], and Health [Hygeia], and All-heal [Panacea], and all the gods and goddesses, that, according to my ability and judgment, I will keep this Oath and this stipulation—to reckon him who taught me this Art equally dear to me as my parents, to share my substance with him, and relieve his necessities if required; to look upon his offspring in the same footing as my own brothers, and to teach them this art, if they shall wish to learn it, without fee or stipulation; and that by precept, lecture, and every other mode of instruction, I will impart a knowledge of the Art to my own sons, and those of my teachers, and to disciples bound by a stipulation and oath according to the law of medicine, but to none others. I will follow that system of regimen which, according to my ability and judgment, I consider for the benefit of my patients, and abstain from whatever is deleterious and mischievous. I will give no deadly medicine to any one if asked, nor suggest any such counsel; and in like manner I will not give to a woman a pessary to produce abortion. With purity and with holiness I will pass my life and practice my Art. I will not cut persons laboring under the stone, but will leave this to be done by men who are practitioners of this work. Into whatever houses I enter, I will go into them for the benefit of the sick, and will abstain from every voluntary act of mischief and corruption; and, further, from the seduction of females or males, of freemen and slaves. Whatever, in connection with my professional practice or not, in connection with it, I see or hear, in the life of men, which ought not to be spoken of abroad, I will not divulge, as reckoning that all such should be kept secret. While I continue to keep this Oath unviolated, may it be granted to me to enjoy life and the practice of the art, respected by all men, in all times! But should I trespass and violate this Oath, may the reverse be my lot!
The Genuine Works of Hippocrates, trans. Francis Adams (1886), Vol. 2, 344-5.
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The object of science is knowledge; the objects of art are works. In art, truth is the means to an end; in science, it is the only end. Hence the practical arts are not to be classed among the sciences
Aphorism 25, 'Aphorisms Respecting Knowledge', The Philosophy of the Inductive Sciences (1840), Vol. 1, xli.
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The observer is never entirely replaced by instruments; for if he were, he could obviously obtain no knowledge whatsoever ... They must be read! The observer’s senses have to step in eventuality. The most careful record, when not inspected, tells us nothing.
…...
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The old scientific ideal of episteme — of absolutely certain, demonstrable knowledge — has proved to be an idol. The demand for scientific objectivity makes it inevitable that every scientific statement must remain tentative for ever. (1959)
The Logic of Scientific Discovery: Logik Der Forschung (1959, 2002), 280.
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The one thing that scientists ought to be is humble because they, more than anyone, know how little they can explain.
Quoted by Sean O'Hagan, in 'End of sperm report', The Observer (14 Sep 2002).
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The only fence against the world is a thorough knowledge of it.
Some Thoughts Concerning Education (1693).
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The only sure foundations of medicine are, an intimate knowledge of the human body, and observation on the effects of medicinal substances on that. The anatomical and clinical schools, therefore, are those in which the young physician should be formed. If he enters with innocence that of the theory of medicine, it is scarcely possible he should come out untainted with error. His mind must be strong indeed, if, rising above juvenile credulity, it can maintain a wise infidelity against the authority of his instructors, and the bewitching delusions of their theories.
In letter to Caspar Wistar (21 Jun 1807), collected in Thomas Jefferson Randolph (ed.), Memoir, Correspondence, And Miscellanies, From The Papers Of Thomas Jefferson (1829), Vol. 4, 93.
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The open society, the unrestricted access to knowledge, the unplanned and uninhibited association of men for its furtherance—these are what may make a vast, complex, ever growing, ever changing, ever more specialized and expert technological world, nevertheless a world of human community.
'Science and the Common Understanding' (1954), 95. Reprinted in John Dewey and Julius A. Sigler, Classical Selections On Great Issues, Vol. 8, Science, Technology, and Society (1997), 35.
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The opinion of Bacon on this subject [geometry] was diametrically opposed to that of the ancient philosophers. He valued geometry chiefly, if not solely, on account of those uses, which to Plato appeared so base. And it is remarkable that the longer Bacon lived the stronger this feeling became. When in 1605 he wrote the two books on the Advancement of Learning, he dwelt on the advantages which mankind derived from mixed mathematics; but he at the same time admitted that the beneficial effect produced by mathematical study on the intellect, though a collateral advantage, was “no less worthy than that which was principal and intended.” But it is evident that his views underwent a change. When near twenty years later, he published the De Augmentis, which is the Treatise on the Advancement of Learning, greatly expanded and carefully corrected, he made important alterations in the part which related to mathematics. He condemned with severity the pretensions of the mathematicians, “delidas et faslum mathematicorum.” Assuming the well-being of the human race to be the end of knowledge, he pronounced that mathematical science could claim no higher rank than that of an appendage or an auxiliary to other sciences. Mathematical science, he says, is the handmaid of natural philosophy; she ought to demean herself as such; and he declares that he cannot conceive by what ill chance it has happened that she presumes to claim precedence over her mistress.
In 'Lord Bacon', Edinburgh Review (Jul 1837). Collected in Critical and Miscellaneous Essays: Contributed to the Edinburgh Review (1857), Vol. 1, 395.
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The ordinary man (or woman) thinks he knows what time is but cannot say. The learned man, physicist or philosopher, is not sure he knows but is ready to write volumes on the subject of his speculation and ignorance.
In Revolution in Time: Clocks and the Making of the Modern World (1983), 1.
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The origin of all science is the desire to know causes, and the origin of all false science and imposture is the desire to accept false causes rather than none; or, which is the same thing, in the unwillingness to acknowledge our own ignorance.
From 'Burke and the Edinburgh Phrenologists', The Atlas (15 Feb 1829). Collected in William Hazlitt and Percival Presland Howe (ed.), New Writings by William Hazlitt (2nd Ed., 1925), 117.
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The outlook seems grim. Natural selection under civilized conditions may lead mankind to evolve towards a state of genetic overspecialization for living in gadget-ridden environments. It is certainly up to man to decide whether this direction of his evolution is or is not desirable. If it is not, man has, or soon will have, the knowledge requisite to redirect the evolution of his species pretty much as he sees fit. Perhaps we should not be too dogmatic about this choice of direction. We may be awfully soft compared to paleolithic men when it comes to struggling, unaided by gadgets, with climatic difficulties and wild beasts. Most of us feel most of the time that this is not a very great loss. If our remote descendants grow to be even more effete than we are, they may conceivably be compensated by acquiring genotypes conducive to kindlier dispositions and greater intellectual capacities than those prevalent in mankind today.
[Co-author with American statistician Gordon Allen.]
Theodosius Dobzhansky and Gordon Allen, 'Does Natural Selection Continue to Operate in Modern Mankind?', American Anthropologist, 1956, 58 599.
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The overwhelming astonishment, the queerest structure we know about so far in the whole universe, the greatest of all cosmological scientific puzzles, confounding all our efforts to comprehend it, is the earth.
In Late Night Thoughts on Listening to Mahler's Ninth Symphony(1984), 16.
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The partitions of knowledge are not like several lines that meet in one angle, and so touch not in a point; but are like branches of a tree, that meet in a stem, which hath a dimension and quantity of entireness and continuance, before it come to discontinue and break itself into arms and boughs.
Francis Bacon, Basil Montagu (Ed.), The Works of Francis Bacon (1852), Vol. 1, 193.
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The peculiar character of mathematical truth is, that it is necessarily and inevitably true; and one of the most important lessons which we learn from our mathematical studies is a knowledge that there are such truths, and a familiarity with their form and character.
This lesson is not only lost, but read backward, if the student is taught that there is no such difference, and that mathematical truths themselves are learned by experience.
In Thoughts on the Study of Mathematics. Principles of English University Education (1838).
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The picture of scientific method drafted by modern philosophy is very different from traditional conceptions. Gone is the ideal of a universe whose course follows strict rules, a predetermined cosmos that unwinds itself like an unwinding clock. Gone is the ideal of the scientist who knows the absolute truth. The happenings of nature are like rolling dice rather than like revolving stars; they are controlled by probability laws, not by causality, and the scientist resembles a gambler more than a prophet. He can tell you only his best posits—he never knows beforehand whether they will come true. He is a better gambler, though, than the man at the green table, because his statistical methods are superior. And his goal is staked higher—the goal of foretelling the rolling dice of the cosmos. If he is asked why he follows his methods, with what title he makes his predictions, he cannot answer that he has an irrefutable knowledge of the future; he can only lay his best bets. But he can prove that they are best bets, that making them is the best he can do—and if a man does his best, what else can you ask of him?
The Rise of Scientific Philosophy (1951, 1973), 248-9. Collected in James Louis Jarrett and Sterling M. McMurrin (eds.), Contemporary Philosophy: A Book of Readings (1954), 376.
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The pioneering practitioners of the new science [of the seventeenth century] knew that they were producing a new kind of knowledge and so they declared this newness in the titles of their books and articles. Thus we have Galileo’s Two New Sciences, Boyle’s New Experiments, Kepler’s New Astronomy, and Tartaglia’s New Science.
From The Triumph of Numbers: How Counting Shaped Modern Life (2005), 36.
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The position of the anthropologist of to-day resembles in some sort the position of classical scholars at the revival of learning. To these men the rediscovery of ancient literature came like a revelation, disclosing to their wondering eyes a splendid vision of the antique world, such as the cloistered of the Middle Ages never dreamed of under the gloomy shadow of the minster and within the sound of its solemn bells. To us moderns a still wider vista is vouchsafed, a greater panorama is unrolled by the study which aims at bringing home to us the faith and the practice, the hopes and the ideals, not of two highly gifted races only, but of all mankind, and thus at enabling us to follow the long march, the slow and toilsome ascent, of humanity from savagery to civilization. And as the scholar of the Renaissance found not merely fresh food for thought but a new field of labour in the dusty and faded manuscripts of Greece and Rome, so in the mass of materials that is steadily pouring in from many sides—from buried cities of remotest antiquity as well as from the rudest savages of the desert and the jungle—we of to-day must recognise a new province of knowledge which will task the energies of generations of students to master.
'Author’s Introduction' (1900). In Dr Theodor H. Gaster (ed.), The New Golden Bough (1959), xxv-xxvi.
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The present knowledge of the biochemical constitution of the cell was achieved largely by the use of destructive methods. Trained in the tradition of the theory of solutions, many a biochemist tends, even today, to regard the cell as a “bag of enzymes”. However, everyone realizes now that the biochemical processes studied in vitro may have only a remote resemblance to the events actually occurring in the living cell.
Nucleo-cytoplasmic Relations in Micro-Organisms: Their Bearing on Cell Heredity and Differentiation (1953), 108.
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The present state of atomic theory is characterized by the fact that we not only believe the existence of atoms to be proved beyond a doubt, but also we even believe that we have an intimate knowledge of the constituents of the individual atoms.
'The structure of the atom', Nobel Lecture, 11 December 1922. In Nobel Lectures: Physics 1922-1941 (1998), 5.
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The present state of the system of nature is evidently a consequence of what it was in the preceding moment, and if we conceive of an intelligence that at a given instant comprehends all the relations of the entities of this universe, it could state the respective position, motions, and general affects of all these entities at any time in the past or future. Physical astronomy, the branch of knowledge that does the greatest honor to the human mind, gives us an idea, albeit imperfect, of what such an intelligence would be. The simplicity of the law by which the celestial bodies move, and the relations of their masses and distances, permit analysis to follow their motions up to a certain point; and in order to determine the state of the system of these great bodies in past or future centuries, it suffices for the mathematician that their position and their velocity be given by observation for any moment in time. Man owes that advantage to the power of the instrument he employs, and to the small number of relations that it embraces in its calculations. But ignorance of the different causes involved in the production of events, as well as their complexity, taken together with the imperfection of analysis, prevents our reaching the same certainty about the vast majority of phenomena. Thus there are things that are uncertain for us, things more or less probable, and we seek to compensate for the impossibility of knowing them by determining their different degrees of likelihood. So it was that we owe to the weakness of the human mind one of the most delicate and ingenious of mathematical theories, the science of chance or probability.
'Recherches, 1º, sur l'Intégration des Équations Différentielles aux Différences Finies, et sur leur Usage dans la Théorie des Hasards' (1773, published 1776). In Oeuvres complètes de Laplace, 14 Vols. (1843-1912), Vol. 8, 144-5, trans. Charles Coulston Gillispie, Pierre-Simon Laplace 1749-1827: A Life in Exact Science (1997), 26.
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The price one pays for pursuing any profession, or calling, is an intimate knowledge of its ugly side.
Nobody Knows My Name (1961). In The Price of the Ticket: Collected Nonfiction, 1948-1985 (1985), 302.
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The Principle of Uncertainty is a bad name. In science or outside of it we are not uncertain; our knowledge is merely confined, within a certain tolerance. We should call it the Principle of Tolerance. And I propose that name in two senses: First, in the engineering sense, science has progressed, step by step, the most successful enterprise in the ascent of man, because it has understood that the exchange of information between man and nature, and man and man, can only take place with a certain tolerance. But second, I also use the word, passionately, about the real world. All knowledge, all information between human beings, can only be exchanged within a play of tolerance. And that is true whether the exchange is in science, or in literature, or in religion, or in politics, or in any form of thought that aspires to dogma. It’s a major tragedy of my lifetime and yours that scientists were refining, to the most exquisite precision, the Principle of Tolerance, and turning their backs on the fact that all around them, tolerance was crashing to the ground beyond repair. The Principle of Uncertainty or, in my phrase, the Principle of Tolerance, fixed once for all the realization that all knowledge is limited. It is an irony of history that at the very time when this was being worked out there should rise, under Hitler in Germany and other tyrants elsewhere, a counter-conception: a principle of monstrous certainty. When the future looks back on the 1930s it will think of them as a crucial confrontation of culture as I have been expounding it, the ascent of man, against the throwback to the despots’ belief that they have absolute certainty. It is said that science will dehumanize people and turn them into numbers. That is false: tragically false. Look for yourself. This is the concentration camp and crematorium at Auschwitz. This is where people were turned into numbers. Into this pond were flushed the ashes of four million people. And that was not done by gas. It was done by arrogance. It was done by dogma. It was done by ignorance. When people believe that they have absolute knowledge, with no test in reality this is how they behave. This is what men do when they aspire to the knowledge of gods. Science is a very human form of knowledge. We are always at the brink of the known; we always feel forward for what is to be hoped. Every judgment in science stands on the edge of error, and is personal. Science is a tribute to what we can know although we are fallible. In the end, the words were said by Oliver Cromwell: “I beseech you, in the bowels of Christ: Think it possible you may be mistaken.” We have to cure ourselves of the itch for absolute knowledge and power. We have to close the distance between the push-button order and the human act. We have to touch people. [Referring to Heisenberg’s Uncertainty Principle.]
'Knowledge or Certainty,' episode 11, The Ascent of Man (1972), BBC TV series.
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The process of discovery is very simple. An unwearied and systematic application of known laws to nature, causes the unknown to reveal themselves. Almost any mode of observation will be successful at last, for what is most wanted is method.
In A Week on the Concord and Merrimack Rivers (1862), 382.
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The professor may choose familiar topics as a starting point. The students collect material, work problems, observe regularities, frame hypotheses, discover and prove theorems for themselves. … the student knows what he is doing and where he is going; he is secure in his mastery of the subject, strengthened in confidence of himself. He has had the experience of discovering mathematics. He no longer thinks of mathematics as static dogma learned by rote. He sees mathematics as something growing and developing, mathematical concepts as something continually revised and enriched in the light of new knowledge. The course may have covered a very limited region, but it should leave the student ready to explore further on his own.
In A Concrete Approach to Abstract Algebra (1959), 1-2.
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The purpose of science is to develop, without prejudice or preconception of any kind, a knowledge of the facts, the laws, and the processes of nature. The even more important task of religion, on the other hand, is to develop the consciences, the ideals, and the aspirations of mankind.
'A Joint Statement Upon the Relations of Science and Religion' formulated by Millikan (1923), signed by forty-five leaders of religion, science and human affairs. Reproduced in Bulletin of the American Association of University Professors (May 1923), 9, No. 5, 47. Included in Science and Life (1924), 86. (Note the context in time: the contemporary social climate by 1925 led to the Butler Act banning the teaching of evolution in Tennessee schools and the resulting trial of John Scopes.)
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The pursuit of knowledge is but a course between two ignorances, as human life is itself only a wayfaring from grave to grave.
In Philosophy of Sir William Hamilton (1853), 517.
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The pursuit of natural knowledge, the investigation of the world – mental and material – in which we live, is not a dull and spiritless affair: rather is it a voyage of adventure of the human mind, a holiday for reckless and imaginative souls.
A.V. Hill
In speech at Nobel Banquet, Stockholm (10 Dec 1923). Collected in Carl Gustaf Santesson (ed.), Les Prix Nobel en 1921-1922 (1923).
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The question whether atoms exist or not... belongs rather to metaphysics. In chemistry we have only to decide whether the assumption of atoms is an hypothesis adapted to the explanation of chemical phenomena... whether a further development of the atomic hypothesis promises to advance our knowledge of the mechanism of chemical phenomena... I rather expect that we shall some day find, for what we now call atoms, a mathematico-mechanical explanation, which will render an account of atomic weight, of atomicity, and of numerous other properties of the so-called atoms.
Laboratory (1867), 1, 303.
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The ravages committed by man subvert the relations and destroy the balance which nature had established between her organized and her inorganic creations; and she avenges herself upon the intruder, by letting loose upon her defaced provinces destructive energies hitherto kept in check by organic forces destined to be his best auxiliaries, but which he has unwisely dispersed and driven from the field of action. When the forest is gone, the great reservoir of moisture stored up in its vegetable mould is evaporated, and returns only in deluges of rain to wash away the parched dust into which that mould has been converted. The well-wooded and humid hills are turned to ridges of dry rock, which encumbers the low grounds and chokes the watercourses with its debris, and–except in countries favored with an equable distribution of rain through the seasons, and a moderate and regular inclination of surface–the whole earth, unless rescued by human art from the physical degradation to which it tends, becomes an assemblage of bald mountains, of barren, turfless hills, and of swampy and malarious plains. There are parts of Asia Minor, of Northern Africa, of Greece, and even of Alpine Europe, where the operation of causes set in action by man has brought the face of the earth to a desolation almost as complete as that of the moon; and though, within that brief space of time which we call “the historical period,” they are known to have been covered with luxuriant woods, verdant pastures, and fertile meadows, they are now too far deteriorated to be reclaimable by man, nor can they become again fitted for human use, except through great geological changes, or other mysterious influences or agencies of which we have no present knowledge, and over which we have no prospective control. The earth is fast becoming an unfit home for its noblest inhabitant, and another era of equal human crime and human improvidence, and of like duration with that through which traces of that crime and that improvidence extend, would reduce it to such a condition of impoverished productiveness, of shattered surface, of climatic excess, as to threaten the depravation, barbarism, and perhaps even extinction of the species.
Man and Nature, (1864), 42-3.
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The Reader may here observe the Force of Numbers, which can be successfully applied, even to those things, which one would imagine are subject to no Rules. There are very few things which we know, which are not capable of being reduc’d to a Mathematical Reasoning, and when they cannot, it’s a sign our Knowledge of them is very small and confus’d; and where a mathematical reasoning can be had, it’s as great folly to make use of any other, as to grope for a thing in the dark when you have a Candle standing by you.
From 'Preface' to Of the Laws of Chance, or, a Method of the Hazards of Game (1692), The book was Arbuthnot’s translation of Christiaan Huygen, Tractatus de Rationciniis in Aleae Ludo, in which Huygen expanded on the work of Blaise Pascal in probability and statistics.
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The real accomplishment of modern science and technology consists in taking ordinary men, informing them narrowly and deeply and then, through appropriate organization, arranging to have their knowledge combined with that of other specialized but equally ordinary men. This dispenses with the need for genius. The resulting performance, though less inspiring, is far more predictable.
In The New Industrial State (1967), 62.
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The real value of science is in the getting, and those who have tasted the pleasure of discovery alone know what science is. A problem solved is dead. A world without problems to be solved would be devoid of science.
In Matter and Energy (1912), 18.
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The really profound changes in human life all have their ultimate origin in knowledge pursued for its own sake. The use of the compass was not introduced into Europe till the end of the twelfth century A.D., more than three thousand years after its first use in China. The importance which the science of electromagnetism has since assumed in every department of human life is due not to the superior practical bias of Europeans, but to the fact that in the West electrical and magnetic phenomena were studied by men who were dominated by abstract theoretic interests.
In Introduction to Mathematics (1911), 32-33.
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The realm of science is the public domain of positive knowledge. The world of values is the private domain of personal convictions. These two realms, together, form the universe in which we spend our lives; they do not overlap.
The Nature of Science and Other Lectures (1954), 6-7.
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The reason of ordinary man is the reason of knowledge. The reason of normal man is the reason of understanding. Knowledge is temporary, can be changed. Understanding is permanent—unchangeable.
In On Love & Psychological Exercises: With Some Aphorisms & Other Essays (1998), 52.
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The recipe for perpetual ignorance is: be satisfied with your opinions and content with your knowledge.
Philistine: A Periodical of Protest (Sep 1902), 15, No. 4, 92.
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The regularity with which we conclude that further advances in a particular field are impossible seems equaled only by the regularity with which events prove that we are of too limited vision. And it always seems to be those who have the fullest opportunity to know who are the most limited in view. What, then, is the trouble? I think that one answer should be: we do not realize sufficiently that the unknown is absolutely infinite, and that new knowledge is always being produced.
Quoted in Guy Suits, 'Willis Rodney Whitney', National Academy of Sciences, Biographical Memoirs (1960), 357.
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The resolution of revolutions is selection by conflict within the scientific community of the fittest way to practice future science. The net result of a sequence of such revolutionary selections, separated by periods of normal research, is the wonderfully adapted set of instruments we call modern scientific knowledge.
The Structure of Scientific Revolutions (1962), 171.
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The role of the teacher is to create the conditions for invention rather than provide ready-made knowledge.
Quoted in Richard Saul Wurman, Information Anxiety 2 (2001), 240.
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The saddest aspect of life right now is that science gathers knowledge faster than society gathers wisdom.
IIsaac Asimov's Book of Science and Nature Quotations (1988), 281.
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The saying often quoted from Lord Kelvin… that “where you cannot measure your knowledge is meagre and unsatisfactory,” as applied in mental and social science, is misleading and pernicious. This is another way of saying that these sciences are not science in the sense of physical science and cannot attempt to be such without forfeiting their proper nature and function. Insistence on a concretely quantitative economics means the use of statistics of physical magnitudes, whose economic meaning and significance is uncertain and dubious. (Even wheat is approximately homogeneous only if measured in economic terms.) And a similar statement would even apply more to other social sciences. In this field, the Kelvin dictum very largely means in practice, “if you cannot measure, measure anyhow!”
'What is Truth' in Economics? (1956), 166.
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The saying that a little knowledge is a dangerous thing is, to my mind, a very dangerous adage. If knowledge is real and genuine, I do not believe that it is other than a very valuable posession, however infinitesimal its quantity may be. Indeed, if a little knowledge is dangerous, where is a man who has so much as to be out of danger?
'Instruction in Physiology', in Science and Culture and Other Essays (1882), 91.
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The science [geometry] is pursued for the sake of the knowledge of what eternally exists, and not of what comes for a moment into existence, and then perishes.
[Also seen condensed as: ``Geometry is knowledge of the eternally existent” or “The knowledge at which geometry aims is the knowledge of the eternal.”]
Plato
The Republic of Plato Book VII, trans. by John Llewelyn Favies and David James Vaughan (1908), 251.
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The science and technology which have advanced man safely into space have brought about startling medical advances for man on earth. Out of space research have come new knowledge, techniques and instruments which have enabled some bedridden invalids to walk, the totally deaf to hear, the voiceless to talk, and, in the foreseeable future, may even make it possible for the blind to “see.”
'From Outer Space—Advances For Medicine on Earth', contributed in Lillian Levy, Space, Its Impact on Man and Society (1965, reprinted 1973), 117.
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The science of Theology is indeed the first Philosophy—the only Philosophy—it comprehends all Philosophy—and all science, it is the Science of the Universe and its Ruler—and what other object of knowledge can there be.
Letter to Andrew Norton (24 Nov 1819). Quoted in James H. Hutson (ed.), The Founders on Religion: A Book of Quotations (2009), xiii; citing Adams Papers (microfilm), reel 124, Library of Congress.
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The scientific attitude of mind involves a sweeping away of all other desires in the interest of the desire to know.
Mysticism and Logic: And Other Essays (1919), 44.
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The scientific method can teach us nothing else beyond how facts are related to, and conditioned by, each other. The aspiration toward such objective knowledge belongs to the highest of which man is capable…. Yet it is equally clear that knowledge of what is does not open the door directly to what should be. One, can have the clearest and most complete knowledge of is, and yet not be able to deduct from that what should be the goal of our human aspirations.
From an Address (19 May 1939) at Princeton Theological Seminary, 'Science and Religion', collected in Ideas And Opinions (1954, 2010), 41.
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The scientist explores the world of phenomena by successive approximations. He knows that his data are not precise and that his theories must always be tested. It is quite natural that he tends to develop healthy skepticism, suspended judgment, and disciplined imagination.
In Commencement Address, California Institute of Technology (10 Jun 1938), 'Experiment and Experience'. Collected in abridged form in The Huntington Library Quarterly (Apr 1939), 2, No. 3, 245
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The scientist is not much given to talking of the riddle of the universe. “Riddle” is not a scientific term. The conception of a riddle is “something which can he solved.” And hence the scientist does not use that popular phrase. We don’t know the why of anything. On that matter we are no further advanced than was the cavedweller. The scientist is contented if he can contribute something toward the knowledge of what is and how it is.
As quoted in 'Electricity Will Keep The World From Freezing Up', New York Times (12 Nov 1911), SM4.
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The scientist knows that the ultimate of everything is unknowable. No matter What subject you take, the current theory of it if carried to the ultimate becomes ridiculous. Time and space are excellent examples of this.
As quoted in 'Electricity Will Keep The World From Freezing Up', New York Times (12 Nov 1911), SM4.
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The scientist knows very well that he is approaching ultimate truth only in an asymptotic curve and is barred from ever reaching it; but at the same time he is proudly aware of being indeed able to determine whether a statement is a nearer or a less near approach to the truth.
In On Aggression (1966, 2002), 279.
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The scope of Medicine is so wide as to give exercise to all the faculties of the mind, and it borrows from the stores of almost every form of human knowledge—it is an epitome of science.
From Address (Oct 1874) delivered at Guy’s Hospital, 'On The Study of Medicine', printed in British Medical journal (1874), 2, 425. Collected in Sir William Withey Gull and Theodore Dyke Acland (ed.), A Collection of the Published Writings of William Withey Gull (1896), 4.
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The Senses place before us the Characters of the Book of Nature; but these convey no knowledge to us, till we have discovered the Alphabet by which they are to be read.
In 'Aphorisms Concerning Ideas', The Philosophy of the Inductive Sciences (1840), Vol. 1, xvii.
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The shortest and surest way of arriving at real knowledge is to unlearn the lessons we have been taught, to remount to first principles, and take no body’s word about them.
In Letters, on the Spirit of Patriotism: On the Idea of a Patriot King (1749), 78.
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The significance of a fact is relative to [the general body of scientific] knowledge. To say that a fact is significant in science, is to say that it helps to establish or refute some general law; for science, though it starts from observation of the particular, is not concerned essentially with the particular, but with the general. A fact, in science, is not a mere fact, but an instance. In this the scientist differs from the artist, who, if he deigns to notice facts at all, is likely to notice them in all their particularity.
In The Scientific Outlook (1931, 2009), 38.
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The silencing of the rainforests is a double deforestation, not only of trees but a deforestation of the mind’s music, medicine and knowledge.
In 'Fifty Years On, the Silence of Rachel Carson’s Spring Consumes Us', The Guardian (25 Sep 2012),
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The so-called ‘crank’ may be quite original in his ideas. … Invention, however, in the engineering sense involves originality; but not that alone, if the results are to be of value. There is imagination more or less fertile, but with it a knowledge of what has been done before, carried perhaps by the memory, together with a sense of the present or prospective needs in art or industry. Necessity is not always the mother of invention. It may be prevision.
Address as M.I.T. acting president, to the graduating class (11 Jun 1920). Published in Massachusetts Institute of Technology, Technology Review (Jul 1920), 22, 419-420.
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The specific character of the greater part of the toxins which are known to us (I need only instance such toxins as those of tetanus and diphtheria) would suggest that the substances produced for effecting the correlation of organs within the body, through the intermediation of the blood stream, might also belong to this class, since here also specificity of action must be a distinguishing characteristic. These chemical messengers, however, or 'hormones' (from όρμάω, I excite or arouse), as we might call them, have to be carried from the organ where they are produced to the organ which they affect by means of the blood stream and the continually recurring physiological needs of the organism must determine their repeated production and circulation through the body.
'The Chemical Correlation of the Functions of the Body', The Lancet (1905), ii, 340.
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The strangest thing of all is that our ulama these days have divided science into two parts. One they call Muslim science, and one European science. Because of this they forbid others to teach some of the useful sciences. They have not understood that science is that noble thing that has no connection with any nation, and is not distinguished by anything but itself. Rather, everything that is known is known by science, and every nation that becomes renowned becomes renowned through science. Men must be related to science, not science to men. How very strange it is that the Muslims study those sciences that are ascribed to Aristotle with the greatest delight, as if Aristotle were one of the pillars of the Muslims. However, if the discussion relates to Galileo, Newton, and Kepler, they consider them infidels. The father and mother of science is proof, and proof is neither Aristotle nor Galileo. The truth is where there is proof, and those who forbid science and knowledge in the belief that they are safeguarding the Islamic religion are really the enemies of that religion. Lecture on Teaching and Learning (1882).
In Nikki R. Keddie, An Islamic Response to Imperialism (1983), 107.
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The stream of human knowledge is heading towards a non-mechanical reality. The universe begins to look more like a great thought than a great machine. Mind no longer appears to be an accidental intruder into the realm of matter. We are beginning to suspect that we ought rather to hail it as the creator and governor of this realm.
The Mysterious Universe (1930), 137.
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The study of mathematics—from ordinary reckoning up to the higher processes—must be connected with knowledge of nature, and at the same time with experience, that it may enter the pupil’s circle of thought.
In Johann Friedrich Herbart, Henry M. Felkin (trans.) and Emmie Felkin (trans.), Letters and Lectures on Education [Felkin] (1898), 117.
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The study of taxonomy in its broadest sense is probably the oldest branch of biology or natural history as well as the basis for all the other branches, since the first step in obtaining any knowledge of things about us is to discriminate between them and to learn to recognize them.
From paper presented to New York Entomological Society (12 Dec 1939), 'Some Aspects of Modern Taxonomy', published in Journal of the New York Entomological Society (Sep 1940), 48, No. 3, 245.
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The suppression of uncomfortable ideas may be common in religion or in politics, but it is not the path to knowledge; it has no in the endeavor of science. We do not know in advance who will discover fundamental insights.
In Cosmos (1985), 74.
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The task of science is to stake out the limits of the knowable, and to center consciousness within them.
As found in Bernard E. Farber, A Teacher’s Treasury of Quotations (1985), 264. This is probably a loose translation of the original German: “Die Aufgabe der Wissenschaftquote”..., See the more literal translation on this page, also beginning “The task of science…,” for full citation. Webmaster has not yet found a primary source for the shorter translation in these words—can you help?
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The task of science, therefore, is not to attack the objects of faith, but to establish the limits beyond which knowledge cannot go and found a unified self-consciousness within these limits.
Translation of the original German: Die Aufgabe der Wissenschaft ist es daher nicht, die Gegenstände des Glaubens anzugreifen, sondern nur die Grenzen zu stecken, welche die Erkenntniss erreichen kann, und innerhalb derselben das einheitliche Selbstbewusstsein zu begründen., from 'Der Mensch' (1849), collected in Gesammelte abhandlungen zur wissenschaftlichen medicin (1856), 6. As translated in Lelland J. Rather (ed., trans.), 'On Man', Disease, Life, and Man: Selected Essays (1958), 83-84.
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The teaching process, as commonly observed, has nothing to do with the investigation and establishment of facts, assuming that actual facts may ever be determined. Its sole purpose is to cram the pupils, as rapidly and as painlessly as possible, with the largest conceivable outfit of current axioms, in all departments of human thought—to make the pupil a good citizen, which is to say, a citizen differing as little as possible, in positive knowledge and habits of mind, from all other citizens.
From Baltimore Evening Sun (12 Mar 1923). Collected in A Mencken Chrestomathy (1949, 1956), 316.
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The tendency of the sciences has long been an increasing proclivity of separation and dismemberment … The mathematician turns away from the chemist; the chemist from the naturalist; the mathematician, left to himself divides himself into a pure mathematician and a mixed mathematician, who soon part company … And thus science, even mere physical science, loses all traces of unity. A curious illustration of this result may be observed in the want of any name by which we can designate the students of the knowledge of the material world collectively. We are informed that this difficulty was felt very oppressively by the members of the British Association for the Advancement of Science, at their meetings at York, Oxford and Cambridge, in the last three summers. There was no general term by which these gentlemen could describe themselves with reference to their pursuits … some ingenious gentleman [William Whewell] proposed that, by analogy with artist, they might form Scientist, and added that there could be no scruple … when we have words such as sciolist, economist, and atheist—but this was not generally palatable.
In Review of Mrs Somerville, 'On the Connexion of the Physical Sciences', The Quarterly Review (1834), 51, 58-61.
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The theory of medicine, therefore, presents what is useful in thought, but does not indicate how it is to be applied in practice—the mode of operation of these principles. The theory, when mastered, gives us a certain kind of knowledge. Thus we say, for example, there are three forms of fevers and nine constitutions. The practice of medicine is not the work which the physician carries out, but is that branch of medical knowledge which, when acquired, enables one to form an opinion upon which to base the proper plan of treatment.
Avicenna
'The Definition of Medicine', in The Canon of Medicine, adapted by L. Bakhtiar (1999), 10.
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The theory of probabilities is at bottom only common sense reduced to calculation; it makes us appreciate with exactitude what reasonable minds feel by a sort of instinct, often without being able to account for it. … It is remarkable that [this] science, which originated in the consideration of games of chance, should have become the most important object of human knowledge.
From A Philosophical Essay on Probabilities. As given in epigraph, E.T. Bell, Men of Mathematics (2014), 71.
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The theory of the method of knowing which is advanced in these pages may be termed pragmatic. ... Only that which has been organized into our disposition so as to enable us to adapt the environment to our needs and adapt our aims and desires to the situation in which we live is really knowledge.
Democracy and Education: an Introduction to the Philosophy of Education (1916), 400.
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The time has come to link ecology to economic and human development. When you have seen one ant, one bird, one tree, you have not seen them all. What is happening to the rain forests of Madagascar and Brazil will affect us all.
Quoted in Jamie Murphy and Andrea Dorfman, 'The Quiet Apocalypse,' Time (13 Oct 1986).
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The totality of our so-called knowledge or beliefs, from the most casual matters of geography and history to the profoundest laws of atomic physics or even of pure mathematics and logic, is a man-made fabric which impinges on experience only along the edges. Or, to change the figure, total science is like a field of force whose boundary conditions are experience. A conflict with experience at the periphery occasions readjustments in the interior of the field. Truth values have to be redistributed over some of our statements. Reevaluation of some statements entails reevaluation of others, because of their logical interconnections—the logical laws being in turn simply certain further statements of the system, certain further elements of the field.
'Two Dogmas of Experience,' in Philosophical Review (1951). Reprinted in From a Logical Point of View (1953), 42.
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The tragedy of the world is that those who are imaginative have but slight experience, and those who are experienced have feeble imaginations. Fools act on imagination without knowledge, pedants act on knowledge without imagination.
In 'Universities and Their Function', Aims of Education: & Other Essays (1917), 140.
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The transistor came about because fundamental knowledge had developed to a stage where human minds could understand phenomena that had been observed for a long time. In the case of a device with such important consequences to technology, it is noteworthy that a breakthrough came from work dedicated to the understanding of fundamental physical phenomena, rather than the cut-and-try method of producing a useful device.
In 'Discovery of the Transistor Effect: One Researcher’s Personal Account', Adventures in Experimental Physics (1976), 5, 3-13. As quoted and partially cited in Leon M. Lederman, 'Physics and Development', collected in Encyclopedia of Life Support Systems. Citation complete in footnotes of other articles found online.
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The true delight is in the finding out rather than in the knowing.
Quoted, without citation, in Journal of Nuclear Medicine Technology (1997), 25, 4. Various other instances of the quote published later also show no citation. Please contact Webmaster if you know a primary print source.
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The truth is that the scientific value of Polar exploration is greatly exaggerated. The thing that takes men on such hazardous trips is really not any thirst for knowledge, but simply a yearning for adventure. ... A Polar explorer always talks grandly of sacrificing his fingers and toes to science. It is an amiable pretention, but there is no need to take it seriously.
'Penguin's Eggs'. From the American Mercury (Sep 1930), 123-24. Reprinted in A Second Mencken Chrestomathy: A New Selection from the Writings of America's Legendary Editor, Critic, and Wit (2006), 166.
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The universe is of the nature of a thought or sensation in a universal Mind… To put the conclusion crudely—the stuff of the world is mind-stuff. As is often the way with crude statements, I shall have to explain that by “mind” I do not exactly mean mind and by “stuff” I do not at all mean stuff. Still that is about as near as we can get to the idea in a simple phrase. The mind-stuff of the world is something more general than our individual conscious minds; but we may think of its nature as not altogether foreign to feelings in our consciousness… Having granted this, the mental activity of the part of world constituting ourselves occasions no great surprise; it is known to us by direct self-knowledge, and we do not explain it away as something other than we know it to be—or rather, it knows itself to be.
From Gifford Lecture, Edinburgh, (1927), 'Reality', collected in The Nature of the Physical World (1928), 276.
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The university imparts information, but it imparts it imaginatively. At least, this is the function which it should perform for society. A university which fails in this respect has no reason for existence. This atmosphere of excitement, arising from imaginative consideration, transforms knowledge. A fact is no longer a bare fact: it is invested with all its possibilities. It is no longer a bur. den on the memory: it is energising as the poet of our dreams, and as the architect of our purposes.
In 'Universities and Their Function', The Aims of Education: & Other Essays (1917), 139.
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The University is a Mecca to which students come with something less than perfect faith. It is important that students bring a certain ragamuffin, barefoot irreverence to their studies; they are not here to worship what is known, but to question it.
From The Ascent of Man (1973,2011), 275.
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The university’s business is the conservation of useless knowledge; and what the university itself apparently fails to see is that this enterprise is not only noble but indispensable as well, that society can not exist unless it goes on.
…...
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The utmost extent of man’s knowledge, is to know that he knows nothing.
In Interesting Anecdotes, Memoirs, Allegories, Essays, and Poetical Fragments (1793), Vols 3-4, Vol. 3, 226.
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The variety of minds served the economy of nature in many ways. The Creator, who designed the human brain for activity, had insured the restlessness of all minds by enabling no single one to envisage all the qualities of the creation. Since no one by himself could aspire to a serene knowledge of the whole truth, all men had been drawn into an active, exploratory and cooperative attitude.
In The Lost World of Thomas Jefferson (1948, 1993), 125.
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The various branches of knowledge always tend as a whole to stray away from life, and return thither only by a roundabout way.
In The Maxims and Reflections of Goethe (1906), 189.
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The venereal Disease first invaded the Spaniards and Italians, before the Efficacy of Mercury was known. … By the Use of Mercury, given with Discretion, so as to raise a Salivation; after the Use of which the whole Body, in a manner, seems to grow young again.
In Dr. Boerhaave's Academical Lectures on the Theory of Physic (1746), Vol. 6, 266-267.
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The vulgar opinion, then, which, on health reasons, condemns vegetable food and so much praises animal food, being so ill-founded, I have always thought it well to oppose myself to it, moved both by experience and by that refined knowledge of natural things which some study and conversation with great men have given me. And perceiving now that such my constancy has been honoured by some learned and wise physicians with their authoritative adhesion (della autorevole sequela), I have thought it my duty publicly to diffuse the reasons of the Pythagorean diet, regarded as useful in medicine, and, at the same time, as full of innocence, of temperance, and of health. And it is none the less accompanied with a certain delicate pleasure, and also with a refined and splendid luxury (non è privo nemmeno d’una certa delicate voluttà e d’un lusso gentile e splendido ancora), if care and skill be applied in selection and proper supply of the best vegetable food, to which the fertility and the natural character of our beautiful country seem to invite us. For my part I have been so much the more induced to take up this subject, because I have persuaded myself that I might be of service to intending diet-reformers, there not being, to my knowledge, any book of which this is the sole subject, and which undertakes exactly to explain the origin and the reasons of it.
From Dell Vitto Pitagorico (1743), (The Pythagorean Diet: for the Use of the Medical Faculty), as translated quotes in Howard Williams, The Ethics of Diet: A Catena of Authorities Deprecatory of the Practice of Flesh-Eating (1883), 158.
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The well-marked path to knowledge is open to anyone willing to make the effort to follow it, though no one will ever quite reach its end.
In 'Prologue', Conversation with the Earth (1954), 4. As translated by E.B. Garside from Gespräch mit der Erde (1947).
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The whole question of imagination in science is often misunderstood by people in other disciplines. ... They overlook the fact that whatever we are allowed to imagine in science must be consistent with everything else we know.
In The Feynman Lectures in Physics (1964), Vol. 2, Lecture 20, p.20-10. As quoted by James Gleick in Genius: The Life and Science of Richard Feynman (1992), 324.
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The whole question of imagination in science is often misunderstood by people in other disciplines. They try to test our imagination in the following way. They say, “Here is a picture of some people in a situation. What do you imagine will happen next?” When we say, “I can’t imagine,” they may think we have a weak imagination. They overlook the fact that whatever we are allowed to imagine in science must be consistent with everything else we know; that the electric fields and the waves we talk about are not just some happy thoughts which we are free to make as we wish, but ideas which must be consistent with all the laws of physics we know. We can’t allow ourselves to seriously imagine things which are obviously in contradiction to the laws of nature. And so our kind of imagination is quite a difficult game. One has to have the imagination to think of something that has never been seen before, never been heard of before. At the same time the thoughts are restricted in a strait jacket, so to speak, limited by the conditions that come from our knowledge of the way nature really is. The problem of creating something which is new, but which is consistent with everything which has been seen before, is one of extreme difficulty
In The Feynman Lectures in Physics (1964), Vol. 2, Lecture 20, p.20-10 to p.20-11.
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The whole value of science consists in the power which it confers upon us of applying to one object the knowledge acquired from like objects; and it is only so far, therefore, as we can discover and register resemblances that we can turn our observations to account.
Principles of Science: A Treatise on Logic and Scientific Method (1874, 2nd ed., 1913), 1.
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The wisest man could ask no more of fate
Than to be simple, modest, manly, true,
Safe from the many, honored by the few;
Nothing to count in world, or church, or state,
But inwardly in secret to be great;
To feel mysterious nature ever new,
To touch, if not to grasp, her endless clue,
And learn by each discovery how to wait,
To widen knowledge and escape the praise;
Wisely to teach because more wise to learn;
To toil for science, not to draw men’s gate,
But for her love of self denial stern;
That such a man could spring from our decays
Fans the soul’s nobler faith until it burn.
Elegy to Dr. Leidy for introduction to the inauguration of the Joseph Leidy Memorial Lectureship. As published in 'The Joseph Leidy Lecture: Introduction by the Provost of the University of Pennsylvania', Science (30 May 1913), 37, No. 961, 809.
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The word “chance” then expresses only our ignorance of the causes of the phenomena that we observe to occur and to succeed one another in no apparent order. Probability is relative in part to this ignorance, and in part to our knowledge.
'Mémoire sur les Approximations des Formules qui sont Fonctions de Très Grands Nombres' (1783, published 1786). In Oeuvres complète de Laplace, 14 Vols. (1843-1912), Vol. 10, 296, trans. Charles Coulston Gillispie, Pierre-Simon Laplace 1749-1827: A Life in Exact Science (1997), 91.
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The word “mathematics” is a Greek word and, by origin, it means “something that has been learned or understood,” or perhaps “acquired knowledge,” or perhaps even, somewhat against grammar, “acquirable knowledge,” that is, “learnable knowledge,” that is, “knowledge acquirable by learning.”
'Why Mathematics Grows', Journal of the History of Ideas (Jan-Mar 1965), 26, No. 1, 4. In Salomon Bochner and Robert Clifford Gunning (ed.) Collected Papers of Salomon Bochner (1992), Vol. 4, 192.
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The work of the true man of Science is a perpetual striving after a better and closer knowledge of the planet on which his lot is cast, and of the universe in the vastness of which that planet is lost. The only way of doing this effectually, is to proceed as gradually, and therefore as surely as possible, along the dim untrodden ground lying beyond the known. Such is scientific work.
First sentence in Chap. 1, 'Waves: Preliminary', Studies in Spectrum Analysis (1878), 1.
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The world has achieved brilliance without wisdom, power without conscience. Ours is a world of nuclear giants and ethical infants. We know more about war than we know about peace, more about killing than we know about living.
Speech (10 Nov 1948) in Boston, Massachusetts, preceding Armistice Day, Collected Writings (1967), Vol. 1. Quoted in Bulletin of the Atomic Scientists (Apr 1952), 8, No. 4, 114.
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The world has arisen in some way or another. How it originated is the great question, and Darwin's theory, like all other attempts, to explain the origin of life, is thus far merely conjectural. I believe he has not even made the best conjecture possible in the present state of our knowledge.
In Evolution and Permanence of Type (1874), 12.
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The world tells us what we need to know when we are ready to know it and not before. That’s the way of things.
In World of Warcraft: Cycle of Hatred (2007), 17.
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The young specialist in English Lit, having quoted me, went on to lecture me severely on the fact that in every century people have thought they understood the Universe at last, and in every century they were proved to be wrong. It follows that the one thing we can say about our modern “knowledge” is that it is wrong.
The young man then quoted with approval what Socrates had said on learning that the Delphic oracle had proclaimed him the wisest man in Greece. “If I am the wisest man,” said Socrates, “it is because I alone know that I know nothing.” The implication was that I was very foolish because I was under the impression I knew a great deal.
Alas, none of this was new to me. (There is very little that is new to me; I wish my correspondents would realize this.) This particular theme was addressed to me a quarter of a century ago by John Campbell, who specialized in irritating me. He also told me that all theories are proven wrong in time.
My answer to him was, “John, when people thought the Earth was flat, they were wrong. When people thought the Earth was spherical, they were wrong. But if you think that thinking the Earth is spherical is just as wrong as thinking the Earth is flat, then your view is wronger than both of them put together.”
In The Relativity of Wrong (1989), 214.
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Their minds sang with the ecstatic knowledge that either what they were doing was completely and utterly and totally impossible or that physics had a lot of catching up to do.
So Long, and Thanks for All the Fish (1985). Quoted in Gary Westfahl, Science Fiction Quotations (2005), 322.
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Their vain presumption of knowing all can take beginning solely from their never having known anything; for if one has but once experienced the perfect knowledge of one thing, and truly tasted what it is to know, he shall perceive that of infinite other conclusions he understands not so much as one.
Dialogue on the Great World Systems (1632). Revised and Annotated by Giorgio De Santillana (1953), 112.
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Theorists tend to peak at an early age; the creative juices tend to gush very early and start drying up past the age of fifteen—or so it seems. They need to know just enough; when they’re young they haven’t accumulated the intellectual baggage.
In Leon Lederman and Dick Teresi, The God Particle: If the Universe is the Answer, What is the Question (1993), 16.
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Theory is the essence of facts. Without theory scientific knowledge would be only worthy of the madhouse.
From article 'Electro-magnetic Theory II', in The Electrician (16 Jan 1891), 26, No. 661, 331.
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There are all kinds of interesting questions that come from a knowledge of science, which only adds to the excitement and mystery and awe of a flower.
From interview by BBC TV in episode 'The Pleasure of Finding Things Out', Horizon (1981). Collected in Richard P. Feynman, 'The Making of a Scientist', What Do You Care What Other People Think?": Further Adventures of a Curious Character (2001), 11.
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There are but few saints among scientists, as among other men, but truth itself is a goal comparable to sanctity. As the Pythagoreans had already understood it more than twenty-four centuries ago, there is sanctity in pure knowledge, as there is in pure beauty, and the disinterested quest of truth is perhaps the greatest purification.
In The History of Science and the New Humanism (1987), 46-47.
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There are few substances to which it [iron] yields in interest, when it is considered how very intimately the knowledge and properties and uses is connected with human civilization.
In A Manual of Elementary Chemistry, Theoretical and Practical (1858), 310.
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There are four great sciences, without which the other sciences cannot be known nor a knowledge of things secured … Of these sciences the gate and key is mathematics … He who is ignorant of this [mathematics] cannot know the other sciences nor the affairs of this world.
Opus Majus [1266-1268], Part IV, distinction I, chapter I, trans. R. B. Burke, The Opus Majus of Roger Bacon (1928), Vol. I, 116.
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There are in fact two things, science and opinion; the former begets knowledge, the latter ignorance.
The Canon Law sect. 4, in Hippocrates, trans. W. H. S. Jones (1923), Vol. 2, 265. The second part is also seen translated as “Science is the father of knowledge, but opinion breeds ignorance,” as in Hippocratic Writings (1978), 69.
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There are many arts and sciences of which a miner should not be ignorant. First there is Philosophy, that he may discern the origin, cause, and nature of subterranean things; for then he will be able to dig out the veins easily and advantageously, and to obtain more abundant results from his mining. Secondly there is Medicine, that he may be able to look after his diggers and other workman ... Thirdly follows astronomy, that he may know the divisions of the heavens and from them judge the directions of the veins. Fourthly, there is the science of Surveying that he may be able to estimate how deep a shaft should be sunk … Fifthly, his knowledge of Arithmetical Science should be such that he may calculate the cost to be incurred in the machinery and the working of the mine. Sixthly, his learning must comprise Architecture, that he himself may construct the various machines and timber work required underground … Next, he must have knowledge of Drawing, that he can draw plans of his machinery. Lastly, there is the Law, especially that dealing with metals, that he may claim his own rights, that he may undertake the duty of giving others his opinion on legal matters, that he may not take another man’s property and so make trouble for himself, and that he may fulfil his obligations to others according to the law.
In De Re Metallica (1556), trans. H.C. and L.H. Hoover (1950), 3-4.
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There are no royal roads to knowledge, and we can only advance to new and important truths along the rugged path of experience, guided by cautious induction.
In 'Report of the Secretary', Annual Report of the Board of Regents of the Smithsonian Institution for 1856 (1857), 36.
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There are other sources of psychological knowledge, which become accessible at the very point where the experimental method fails us.
Principles of Physiological Psychology (1904)
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There are seven sins in the world: wealth without work, pleasure without conscience, knowledge without character, commerce without morality, science without humanity, worship without sacrifice, and politics without principle.
Respectfully Quoted: A Dictionary of Quotations (1989), 319.
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There are three stages in the development of science: First, there is the observation of things and facts—the scientists map out and inventory the objects in each department of Nature; secondly, the interrelations are investigated, and this leads to a knowledge of forces and influences which produce or modify those objects…. This is the dynamic stage, the discovery of forces and laws connecting each fact with all other facts, and each province of Nature with all other provinces of Nature. The goal of this second stage of science is to make each fact in Nature throw light on all the other facts, and thus to illuminate each by all. … Science in its third and final stage learns to know everything in Nature as a part of a process which it studies in the history of its development. When it comes to see each thing in the perspective of its evolution, it knows it and comprehends it.
In Psychologic Foundations of Education: An Attempt to Show the Genesis of the Higher Faculties of the Mind (1907), 378.
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There are two classes [of scientists], those who want to know, and do not care whether others think they know or not, and those who do not much care about knowing, but care very greatly about being reputed as knowing.
Samuel Butler, Henry Festing Jones (ed.), The Note-Books of Samuel Butler (1917), 58.
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There are two kinds of equality, one potential and the other actual, one theoretical and the other practical. We should not be satisfied by merely quoting the doctrine of equality as laid down in the Declaration of Independence, but we should give it practical illustration. We have to do as well as to be. If we had built great ships, sailed around the world, taught the science of navigation, discovered far-off islands, capes, and continents, enlarged the boundaries of human knowledge, improved the conditions of man’s existence, brought valuable contributions of art, science, and literature, revealed great truths, organized great states, administered great governments, defined the laws of the universe, formulated systems of mental and moral philosophy, invented railroads, steam engines, mowing machines, sewing machines, taught the sun to take pictures, the lightning to carry messages, we then might claim, not only potential and theoretical equality, but actual and practical equality.
From Speech (16 Apr 1889) delivered to the Bethel Literary and Historical Society, Washington D.C., 'The Nation’s Problem'. Collected in Philip S. Foner, Yuval Taylor (eds.), Frederick Douglass: Selected Speeches and Writings (2000), 731.
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There is a cult of ignorance in the United States, and there has always been. The strain of anti-intellectualism has been a constant thread winding its way through our political and cultural life, nurtured by the false notion that democracy means that “my ignorance is just as good as your knowledge.”
In 'A Cult of Ignorance', Newsweek (21 Jan 1980), 19. As cited in Igor Ž. Žagar and Polona Kelava, From Formal to Non-Formal: Education, Learning and Knowledge (2014), 74.
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There is a difference between discovery and invention. A discovery brings to light what existed before, but what was not known; an invention is the contrivance of something that did not exist before.
First line of 'How Discoveries Are Made', Cassell’s Magazine, Illustrated (May 1908), 629.
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There is a fifth dimension beyond that which is known to man. It is a dimension as vast as space and as timeless as infinity. It is the middle ground between light and shadow, between science and superstition, and it lies between the pit of man’s fears and the summit of his knowledge. This is the dimension of imagination. It is an area which we call the Twilight Zone.
Opening narration of the first season episodes of CBS TV Series, The Twilight Zone (1959). Collected in Vincent Terrace, Television Introductions: Narrated TV Program Openings since 1949 (2013), 183.
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There is a genuine thirst for scientific knowledge in most homes. Satisfying that thirst will, I believe, create a friendly attitude toward science and scientists which will favor the cause of science in the future. Science needs an informed and friendly public to back it up.
[Stating the goals of his NBC TV show, Nature of Things, which first aired on 5 Feb 1948.]
'Televising Science'. Physics Today (Jan 1949), 2, 26. Quoted in Marcel Chotkowski LaFollette, Science on the Air (2008), 215.
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There is beauty in discovery. There is mathematics in music, a kinship of science and poetry in the description of nature, and exquisite form in a molecule. Attempts to place different disciplines in different camps are revealed as artificial in the face of the unity of knowledge. All illiterate men are sustained by the philosopher, the historian, the political analyst, the economist, the scientist, the poet, the artisan, and the musician.
From address (1958), upon being appointed Chancellor of the University of California.
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There is much pleasure to be gained from useless knowledge.
…...
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There is no more convincing proof of the truth of a comprehensive theory than its power of absorbing and finding a place for new facts, and its capability of interpreting phenomena which had been previously looked upon as unaccountable anomalies. It is thus that the law of universal gravitation and the undulatory theory of light have become established and universally accepted by men of science. Fact after fact has been brought forward as being apparently inconsistent with them, and one alter another these very facts have been shown to be the consequences of the laws they were at first supposed to disprove. A false theory will never stand this test. Advancing knowledge brings to light whole groups of facts which it cannot deal with, and its advocates steadily decrease in numbers, notwithstanding the ability and scientific skill with which it may have been supported.
From a review of four books on the subject 'Mimicry, and Other Protective Resemblances Among Animals', in The Westminster Review (Jul 1867), 88, 1. Wallace is identified as the author in the article as reprinted in William Beebe, The Book of Naturalists: An Anthology of the Best Natural History (1988), 108.
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There is no philosophy which is not founded upon knowledge of the phenomena, but it is absolutely necessary to be a mathematician to get any profit from this knowledge.
Letter to John Bernoulli III (7 Dec 1763), held at the Basel University Library. As quoted and cited in Leonhard Euler, Commentationes Mechanicae ad Theoriam Corporum Fluidorum Pertinentes (1955), Vol. 2, lviii. The editor, Clifford Ambrose Truesdell III, states he viewed the letters firsthand.
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There is no science which does not spring from pre-existing knowledge, and no certain and definite idea which has not derived its origin from the senses.
In Willis (trans.) and Alex Bowie (trans.), 'The First Anatomical Disquisition on the Circulation of the Blood, Addressed to Jo. Riolan', On the Motion of the Heart and Blood in Animals (1889), 93.
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There is no short cut, nor “royal road” to the attainment of medical knowledge. The path which we have to pursue is long, difficult, and unsafe. In our progress, we must frequently take up our abode with death and corruption, we must adopt loathsome diseases for our familiar associates, or we shall never be acquainted with their nature and dispositions ; we must risk, nay, even injure our own health, in order to be able to preserve, or restore that of others.
Hunterian Oration (1819). Quoted in Clement Carlyon, Early Years and Late Reflections (1856), 110-111.
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There is no substitute for knowledge.
The New Economics: For Industry, Government, Education (), 17.
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There is nothing so captivating as NEW knowledge.
In The Collected Works of Dr. P.M. Latham (1878), Vol. 1, 51.
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There is nothing which can better deserve your patronage, than the promotion of Science and Literature. Knowledge is in every country the surest basis of publick happiness.
First Annual Message to Congress on the State of the Union (8 Jan 1790).
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There is only one law of Nature—the second law of thermodynamics—which recognises a distinction between past and future more profound than the difference of plus and minus. It stands aloof from all the rest. … It opens up a new province of knowledge, namely, the study of organisation; and it is in connection with organisation that a direction of time-flow and a distinction between doing and undoing appears for the first time.
In The Nature of the Physical World (1928, 2005), 67-68.
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There is scarce any one invention, which this nation has produced in our age, but it has some way or other been set forward by his assistance. ... He is indeed a man born for the good of mankind, and for the honour of his country. ... So I may thank God, that Dr. Wilkins was an Englishman, for wherever he had lived, there had been the chief seat of generous knowledge and true philosophy.
In Micrographia, Preface. Cited in Charles Coulston Gillispie, Dictionary of Scientific Biography (1976), Vol. 14, 369-370.
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There is something irreversible about acquiring knowledge; and the simulation of the search for it differs in a most profound way from the reality.
In Physics in the Contemporary World (1949), 20.
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There may be a golden ignorance. If Professor Bell had known how difficult a task he was attempting, he would never have given us the telephone.
From chapter 'Jottings from a Note-book', in Canadian Stories (1918), 178.
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There seems no limit to research, for as been truly said, the more the sphere of knowledge grows, the larger becomes the surface of contact with the unknown.
from A History of Science and Its Relations with Philosophy and Religion (1929, 4th Ed., 1948), 500.
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There should be no mystery in our use of the word science; it means knowledge, not theory nor speculation nor hypothesis, but hard facts, and the framework of laws to which they belong.
In 'The Meteorological Work of the U.S. Signal Service, 1870 to 1891', U.S. Department of Agriculture, Weather Bureau, Bulletin No. 11, Report of the International Meteorological Congress, Chicago, Ill., August 21-24, 1893 (1894), 242.
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Arthur Stanley Eddington quote: There was a time when we wanted to be told what an electron is. The question was never answered.
Background image credit: Lu Viatour, www.lucnix.be (source)
There was a time when we wanted to be told what an electron is. The question was never answered. No familiar conceptions can be woven around the electron; it belongs to the waiting list.
The Nature Of The Physical World (1928), 290.
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There's a tendency these days to use science as a religion, and to see geneticists as the high priests of that religion. But, the irony is that, as geneticists know more, they get less and less confident.
Quoted by Sean O'Hagan, in 'End of sperm report', The Observer (14 Sep 2002).
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These Disciplines [mathematics] serve to inure and corroborate the Mind to a constant Diligence in Study; to undergo the Trouble of an attentive Meditation, and cheerfully contend with such Difficulties as lie in the Way. They wholly deliver us from a credulous Simplicity, most strongly fortify us against the Vanity of Scepticism, effectually restrain from a rash Presumption, most easily incline us to a due Assent, perfectly subject us to the Government of right Reason, and inspire us with Resolution to wrestle against the unjust Tyranny of false Prejudices. If the Fancy be unstable and fluctuating, it is to be poized by this Ballast, and steadied by this Anchor, if the Wit be blunt it is sharpened upon this Whetstone; if luxuriant it is pared by this Knife; if headstrong it is restrained by this Bridle; and if dull it is rouzed by this Spur. The Steps are guided by no Lamp more clearly through the dark Mazes of Nature, by no Thread more surely through the intricate Labyrinths of Philosophy, nor lastly is the Bottom of Truth sounded more happily by any other Line. I will not mention how plentiful a Stock of Knowledge the Mind is furnished from these, with what wholesome Food it is nourished, and what sincere Pleasure it enjoys. But if I speak farther, I shall neither be the only Person, nor the first, who affirms it; that while the Mind is abstracted and elevated from sensible Matter, distinctly views pure Forms, conceives the Beauty of Ideas, and investigates the Harmony of Proportions; the Manners themselves are sensibly corrected and improved, the Affections composed and rectified, the Fancy calmed and settled, and the Understanding raised and excited to more divine Contemplations. All which I might defend by Authority, and confirm by the Suffrages of the greatest Philosophers.
Prefatory Oration in Mathematical Lectures (1734), xxxi.
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These duplicates in those parts of the body, without which a man might have very well subsisted, though not so well as with them, are a plain demonstration of an all-wise Contriver, as those more numerous copyings which are found among the vessels of the same body are evident demonstrations that they could not be the work of chance. This argument receives additional strength if we apply it to every animal and insect within our knowledge, as well as to those numberless living creatures that are objects too minute for a human eye: and if we consider how the several species in this whole world of life resemble one another in very many particulars, so far as is convenient for their respective states of existence, it is much more probable that a hundred millions of dice should be casually thrown a hundred millions of times in the same number than that the body of any single animal should be produced by the fortuitous concourse of matter.
In The Spectator (22 Nov 1712), No. 543, as collected in Vol. 4 (1721, 10th ed.), 48.
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They assembled together and dedicated these as the first-fruits of their love to Apollo in his Delphic temple, inscribing there those maxims which are on every tongue- “know thyself” and “Nothing overmuch”.
Plato
In Protagoras 343ab, trans. W. R. M. Lamb, in Plato: Laches Protagoras Meno Euthydemus (1924), 197.
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This ability to incorporate the past gives the sharpest diagnostic tool, if one asks whether a body of knowledge is a science or not. Do present practitioners have to go back to an original work of the past? Or has it been incorporated? … Science is cumulative, and embodies its past.
'The Case of Leavis and the Serious Case’, Times Literary Supplement (9 Jul 1970), 737-740. Collected in Public Affairs (1971), 95.
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This alleged damage which the small radioactivity is causing—supposedly cancer and leukemia—has not been proved, to the best of my knowledge, by decent and clear statistics. It is possible that there is damage. It is even possible, to my mind, that there is no damage; and there is the possibility, further, that very small amounts of radioactivity are helpful.
From debate (20 Feb 1958) between Linus Pauling and Edward Teller on WQED-TV, San Francisco. Transcript published as Fallout and Disarmament: The Pauling-Teller Debate (1958). Reprinted in 'Fallout and Disarmament: A Debate between Linus Pauling and Edward Teller', Daedalus (Spring 1958), 87, No. 2, 155.
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This is the element that distinguishes applied science from basic. Surprise is what makes the difference. When you are organized to apply knowledge, set up targets, produce a usable product, you require a high degree of certainty from the outset. All the facts on which you base protocols must be reasonably hard facts with unambiguous meaning. The challenge is to plan the work and organize the workers so that it will come out precisely as predicted. For this, you need centralized authority, elaborately detailed time schedules, and some sort of reward system based on speed and perfection. But most of all you need the intelligible basic facts to begin with, and these must come from basic research. There is no other source. In basic research, everything is just the opposite. What you need at the outset is a high degree of uncertainty; otherwise it isn’t likely to be an important problem. You start with an incomplete roster of facts, characterized by their ambiguity; often the problem consists of discovering the connections between unrelated pieces of information. You must plan experiments on the basis of probability, even bare possibility, rather than certainty.
The Planning of Science, The Lives of a Cell: Notes of a Biology Watcher, (1974) .
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This is the most extraordinary collection of talent, of human knowledge, that has ever been gathered together at the White House, with the possible exception of when Thomas Jefferson dined alone.
[Welcoming Nobel Prize winners as his guests at a White House dinner.]
Remarks at a dinner honoring Nobel Prize Winners of the Western Hemisphere (29 Apr 1962).
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This is the reason why all attempts to obtain a deeper knowledge of the foundations of physics seem doomed to me unless the basic concepts are in accordance with general relativity from the beginning. This situation makes it difficult to use our empirical knowledge, however comprehensive, in looking for the fundamental concepts and relations of physics, and it forces us to apply free speculation to a much greater extent than is presently assumed by most physicists.
…...
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This missing science of heredity, this unworked mine of knowledge on the borderland of biology and anthropology, which for all practical purposes is as unworked now as it was in the days of Plato, is, in simple truth, ten times more important to humanity than all the chemistry and physics, all the technical and indsutrial science that ever has been or ever will be discovered.
Mankind in the Making (1903), 72.
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This new knowledge has all to do with honor and country but it has nothing to do directly with defending our country except to help make it worth defending.
Explaining the value of building Fermilab’s first accelerator in testimony to Congressional Joint Committee on Atomic Energy (17 Apr 1969).
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This notion that “science” is something that belongs in a separate compartment of its own, apart from everyday life, is one that I should like to challenge. We live in a scientific age; yet we assume that knowledge of science is the prerogative of only a small number of human beings, isolated and priest-like in their laboratories. This is not true. It cannot be true. The materials of science are the materials of life itself. Science is part of the reality of living; it is the what, the how, and the why of everything in our experience. It is impossible to understand man without understanding his environment and the forces that have molded him physically and mentally.
Address upon receiving National Book Award at reception, Hotel Commodore, New York (27 Jan 1952). As cited in Linda Lear, Rachel Carson: Witness for Nature (1997), 218-219.
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This property of human languages—their resistance to algorithmic processing— is perhaps the ultimate reason why only mathematics can furnish an adequate language for physics. It is not that we lack words for expressing all this E = mc² and ∫eiS(Φ)DΦ … stuff … , the point is that we still would not be able to do anything with these great discoveries if we had only words for them. … Miraculously, it turns out that even very high level abstractions can somehow reflect reality: knowledge of the world discovered by physicists can be expressed only in the language of mathematics.
In 'Mathematical Knowledge: Internal, Social, And Cultural Aspects', Mathematics As Metaphor: Selected Essays (2007), 5.
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This quality of genius is, sometimes, difficult to be distinguished from talent, because high genius includes talent. It is talent, and something more. The usual distinction between genius and talent is, that one represents creative thought, the other practical skill: one invents, the other applies. But the truth is, that high genius applies its own inventions better than talent alone can do. A man who has mastered the higher mathematics, does not, on that account, lose his knowledge of arithmetic. Hannibal, Napoleon, Shakespeare, Newton, Scott, Burke, Arkwright, were they not men of talent as well as men of genius?
In 'Genius', Wellman’s Miscellany (Dec 1871), 4, No. 6, 203.
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This relation logical implication is probably the most rigorous and powerful of all the intellectual enterprises of man. From a properly selected set of the vast number of prepositional functions a set can be selected from which an infinitude of prepositional functions can be implied. In this sense all postulational thinking is mathematics. It can be shown that doctrines in the sciences, natural and social, in history, in jurisprudence and in ethics are constructed on the postulational thinking scheme and to that extent are mathematical. Together the proper enterprise of Science and the enterprise of Mathematics embrace the whole knowledge-seeking activity of mankind, whereby “knowledge” is meant the kind of knowledge that admits of being made articulate in the form of propositions.
In Mathematics as a Culture Clue: And Other Essays (1947), 127.
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This science, Geometry, is one of indispensable use and constant reference, for every student of the laws of nature; for the relations of space and number are the alphabet in which those laws are written. But besides the interest and importance of this kind which geometry possesses, it has a great and peculiar value for all who wish to understand the foundations of human knowledge, and the methods by which it is acquired. For the student of geometry acquires, with a degree of insight and clearness which the unmathematical reader can but feebly imagine, a conviction that there are necessary truths, many of them of a very complex and striking character; and that a few of the most simple and self-evident truths which it is possible for the mind of man to apprehend, may, by systematic deduction, lead to the most remote and unexpected results.
In The Philosophy of the Inductive Sciences Part 1, Bk. 2, chap. 4, sect. 8 (1868).
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Those afraid of the universe as it really is, those who pretend to nonexistent knowledge and envision a Cosmos centered on human beings will prefer the fleeting comforts of superstition. They avoid rather than confront the world. But those with the courage to explore the weave and structure of the Cosmos, even where it differs profoundly from their wishes and prejudices, will penetrate its deepest mysteries.
Cosmos (1985), 275.
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Those people who think they know everything are a great annoyance to those of us who do.
Anonymous
Sometimes seen on the web attributed to Isaac Asimov, but without citation. Webmaster has not yet found a reliable source. Meanwhile, consider it uncertain. Please contact Webmaster if you know a primary print source.
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Those that can readily master the difficulties of Mathematics find a considerable charm in the study, sometimes amounting to fascination. This is far from universal; but the subject contains elements of strong interest of a kind that constitutes the pleasures of knowledge. The marvellous devices for solving problems elate the mind with the feeling of intellectual power; and the innumerable constructions of the science leave us lost in wonder.
In Education as a Science (1879), 153.
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Those who consider James Watt only as a great practical mechanic form a very erroneous idea of his character: he was equally distinguished as a natural philosopher and a chemist, and his inventions demonstrate his profound knowledge of those sciences, and that peculiar characteristic of genius, the union of them for practical application.
As reported in Proceedings of the Public Meeting held at Preemasons' Hall, on the 18th June, 1824, for Erecting a Monument to the Late James Watt (1824), 8.
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Those who eat most, and who take the most exercise, are not in better health than they who eat just as much as is good for them; and in the same way it is not those who know a great many things, but they who know what is useful who are valuable men.
In Diogenes Laertius, translated by Charles Duke Yonge, 'Life of Aristippus', The Lives and Opinions of Eminent Philosophers (1853), 83.
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Those who intend to practise Midwifery, ought first of all to make themselves masters of anatomy, and acquire a competent knowledge in surgery and physic; because of their connections with the obstetric art, if not always, at least in many cases. He ought to take the best opportunities he can find of being well instructed; and of practising under a master, before he attempts to deliver by himself. ... He should also embrace every occasion of being present at real labours, ... he will assist the poor as well as the rich, behaving always with charity and compassion.
In A Treatise on the Theory and Practice of Midwifery (1766), 440-441.
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Thou, youthful seeker after knowledge, investigate and experiment and never desist therefrom, for thou willst harvest, fruits a thousand-fold.
Epigraph, in Paul Walden, Salts, Acids, and Bases: Electrolytes: Stereochemistry (1929), 5.
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Thoughts without content are empty, intuitions without concepts are blind... The understanding can intuit nothing, the senses can think nothing. Only through their union can knowledge arise.
Critique of Pure Reason (1781), trans. Norman Kemp Smith (1929), 93.
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Three passions, simple but overwhelmingly strong, have governed my life: the longing for love, the search for knowledge, and unbearable pity for the suffering of mankind.
The Autobiography of Betrand Russell (1998), 9, first sentence of the Prologue.
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Through purely logical thinking we can attain no knowledge whatsoever of the empirical world.
In Francis Crick, The Astonishing Hypothesis: the Scientific Search for the Soul (1995), 215.
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Through seven figures come sensations for a man; there is hearing for sounds, sight for the visible, nostril for smell, tongue for pleasant or unpleasant tastes, mouth for speech, body for touch, passages outwards and inwards for hot or cold breath. Through these come knowledge or lack of it.
Regimen, in Hippocrates, trans. W. H. S. Jones (1931), Vol. 4, 261.
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Throughout the last four hundred years, during which the growth of science had gradually shown men how to acquire knowledge of the ways of nature and mastery over natural forces, the clergy have fought a losing battle against science, in astronomy and geology, in anatomy and physiology, in biology and psychology and sociology. Ousted from one position, they have taken up another. After being worsted in astronomy, they did their best to prevent the rise of geology; they fought against Darwin in biology, and at the present time they fight against scientific theories of psychology and education. At each stage, they try to make the public forget their earlier obscurantism, in order that their present obscurantism may not be recognized for what it is.
From An Outline of Intellectual Rubbish (1937, 1943), 6. Collected in The Basic Writings of Bertrand Russell (2009), 47.
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Thus identified with astronomy, in proclaiming truths supposed to be hostile to Scripture, Geology has been denounced as the enemy of religion. The twin sisters of terrestrial and celestial physics have thus been joint-heirs of intolerance and persecution—unresisting victims in the crusade which ignorance and fanaticism are ever waging against science. When great truths are driven to make an appeal to reason, knowledge becomes criminal, and philosophers martyrs. Truth, however, like all moral powers, can neither be checked nor extinguished. When compressed, it but reacts the more. It crushes where it cannot expand—it burns where it is not allowed to shine. Human when originally divulged, it becomes divine when finally established. At first, the breath of a rage—at last it is the edict of a god. Endowed with such vital energy, astronomical truth has cut its way through the thick darkness of superstitious times, and, cheered by its conquests, Geology will find the same open path when it has triumphed over the less formidable obstacles of a civilized age.
More Worlds than One: The Creed of the Philosopher and the Hope of the Christian (1854), 42.
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Thus with every advance in our scientific knowledge new elements come up, often forcing us to recast our entire picture of physical reality. No doubt, theorists would much prefer to perfect and amend their theories rather than be obliged to scrap them continually. But this obligation is the condition and price of all scientific progress.
New Perspectives in Physics (1962), 31.
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To appreciate a work of art we need bring with us nothing but a sense of form and colour and a knowledge of three-dimensional space.
In Art (1913), 27.
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To appreciate a work of art we need bring with us nothing from life, no knowledge of its ideas and affairs, no familiarity with its emotions. Art transports us from the world of man’s activity to a world of æsthetic exaltation. For a moment we are shut off from human interests; our anticipations and memories are arrested; we are lifted above the stream of life. The pure mathematician rapt in his studies knows a state of mind which I take to be similar, if not identical. He feels an emotion for his speculations which arises from no perceived relation between them and the lives of men, but springs, inhuman or super-human, from the heart of an abstract science. I wonder, sometimes, whether the appreciators of art and of mathematical solutions are not even more closely allied.
In Art (1913), 25.
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To Archimedes once came a youth intent upon knowledge.
Said he “Initiate me into the Science divine,
Which to our country has borne glorious fruits in abundance,
And which the walls of the town ’gainst the Sambuca protects.”
“Callst thou the science divine? It is so,” the wise man responded;
“But so it was, my son, ere the state by her service was blest.
Would’st thou have fruit of her only? Mortals with that can provide thee,
He who the goddess would woo, seek not the woman in her.”
Poem, 'Archimedes und der Schuler', collected in Gedichte von Friedrich Schiller (1807), Vol. 1, 149. English version 'Archimedes and the Student', in Edgar A. Bowring (trans.), The Poems of Schiller (1875), 262-263. From the original German: Zu Archimedes kam einst ein wissbegieriger Jüngling. / “Weihe mich,” sprach er zu ihm, “ein in die gottliche Kunst, / Die so herrliche Frucht dem Vaterlande getragen, / Und die Mauern der Stadt vor der Sambuca beschützt!” / “Gottlieb nennst du die Kunst? Sie ists,” versetzte der Weise; / “Aber das war sie, mein Sohn, eh sie dem Staat noch gedient. / Willst du nur Früchte von ihr, die kann auch die Sterbliche zeugen; / Wer um die Göttin freit, suche in ihr nicht das Weib.” [Note: “Sambuca” is the name of a machine used in sieges, employed by Marcellus against Syracuse.]
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To be acceptable as scientific knowledge a truth must be a deduction from other truths.
Aristotle
Unverified. Webmaster has not yet pinpointed the source in these words. In Astounding Science Fiction (1945), 35, No. 5, it appears as an epigraph, and cites 'Nichomachean Ethics'. This may only be a summary of a theme of Archimedes. Please contact Webmaster if you have a specific reference to the primary source.
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To demonstrate experimentally that a microscopic organism actually is the cause of a disease and the agent of contagion, I know no other way, in the present state of Science, than to subject the microbe (the new and happy term introduced by M. Sédillot) to the method of cultivation out of the body.
Paper read to the French Academy of Sciences (29 Apr 1878), published in Comptes Rendus de l'Academie des Sciences, 86, 1037-43, as translated by H.C.Ernst. Collected in Charles W. Eliot (ed.) The Harvard Classics, Vol. 38; Scientific Papers: Physiology, Medicine, Surgery, Geology (1910), 364.
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To describe all the several pairs of the spinal Nerves, and to rehearse all their branchings, and to unfold the uses and actions of them, would be a work of an immense labour and trouble: and as this Neurologie cannot be learned nor understood without an exact knowledge of the Muscles, we may justly here forbear entring upon its particular institution.
In Anatomy of the Brain and Nerves (1664), trans. Samuel Pordage (1681), reprinted in William Peindel (ed.), Thomas Willis: Anatomy of the Brain and Nerves (1965), Vol. 2, 178.
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To eliminate the discrepancy between men's plans and the results achieved, a new approach is necessary. Morphological thinking suggests that this new approach cannot be realized through increased teaching of specialized knowledge. This morphological analysis suggests that the essential fact has been overlooked that every human is potentially a genius. Education and dissemination of knowledge must assume a form which allows each student to absorb whatever develops his own genius, lest he become frustrated. The same outlook applies to the genius of the peoples as a whole.
Halley Lecture for 1948, delivered at Oxford (12 May 1948). In "Morphological Astronomy", The Observatory (1948), 68, 143.
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To emphasize this opinion that mathematicians would be unwise to accept practical issues as the sole guide or the chief guide in the current of their investigations, ... let me take one more instance, by choosing a subject in which the purely mathematical interest is deemed supreme, the theory of functions of a complex variable. That at least is a theory in pure mathematics, initiated in that region, and developed in that region; it is built up in scores of papers, and its plan certainly has not been, and is not now, dominated or guided by considerations of applicability to natural phenomena. Yet what has turned out to be its relation to practical issues? The investigations of Lagrange and others upon the construction of maps appear as a portion of the general property of conformal representation; which is merely the general geometrical method of regarding functional relations in that theory. Again, the interesting and important investigations upon discontinuous two-dimensional fluid motion in hydrodynamics, made in the last twenty years, can all be, and now are all, I believe, deduced from similar considerations by interpreting functional relations between complex variables. In the dynamics of a rotating heavy body, the only substantial extension of our knowledge since the time of Lagrange has accrued from associating the general properties of functions with the discussion of the equations of motion. Further, under the title of conjugate functions, the theory has been applied to various questions in electrostatics, particularly in connection with condensers and electrometers. And, lastly, in the domain of physical astronomy, some of the most conspicuous advances made in the last few years have been achieved by introducing into the discussion the ideas, the principles, the methods, and the results of the theory of functions. … the refined and extremely difficult work of Poincare and others in physical astronomy has been possible only by the use of the most elaborate developments of some purely mathematical subjects, developments which were made without a thought of such applications.
In Presidential Address British Association for the Advancement of Science, Section A, (1897), Nature, 56, 377.
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To furnish the means of acquiring knowledge is … the greatest benefit that can be conferred upon mankind. It prolongs life itself and enlarges the sphere of existence.
Report, as chairman of a committee, on the establishment of the Smithsonian Institution (Jan 1836). In Josiah Quincy, Memoir of the life of John Quincy Adams (1858), 265.
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To generalize is to be an idiot. To particularize is the alone distinction of merit. General knowledges are those knowledges that idiots possess.
Annotations to Sir Joshua Reynolds, 'Discourse II', Discourses (c.1808), as given in Geoffrey Keynes, Complete Writings (1957).
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To have heard without retaining does not make knowledge.
In 'Paradise', The Divine Comedy of Dante Alighieri (1308-1320), translated by Charles Eliot Norton (1902), Vol. 3, Canto 5, line 41-2, 36.
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To honor the multiple ways of knowing which are available to us: indigenous knowledge, scientific knowledge, artistic knowledge to master more than one so we can be fluent and flexible and creative and whole. Each kind of knowledge is a lens, each gives us a different tool—and then its up to us to learn how to find a balance among them.
From interview with Stephanie Muise (19 May 2015) published on web site of Northland College.
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To inquisitive minds like yours and mine the reflection that the quantity of human knowledge bears no proportion to the quantity of human ignorance must be in one view rather pleasing, viz., that though we are to live forever we may be continually amused and delighted with learning something new.
In letter to Dr. Ingenhouz. Quoted in Theodore Diller, Franklin's Contribution to Medicine (1912), 65. The source gives no specific cite for the letter, and Webmaster has found the quote in no other book checked, so authenticity is in question.
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To me, science is an expression of the human spirit, which reaches every sphere of human culture. It gives an aim and meaning to existence as well as a knowledge, understanding, love, and admiration for the world. It gives a deeper meaning to morality and another dimension to esthetics.
From a letter to his long-time associate, Jerrold Zacharias. Quoted in A tribute to I. I. Rabi, Department of Physics, Columbia University, June 1970. In John S. Rigden, in Rabi, Scientist and Citizen (2000), xxi.
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To my knowledge there are no written accounts of Fermi’s contributions to the [first atomic bomb] testing problems, nor would it be easy to reconstruct them in detail. This, however, was one of those occasions in which Fermi’s dominion over all physics, one of his most startling characteristics, came into its own. The problems involved in the Trinity test ranged from hydrodynamics to nuclear physics, from optics to thermodynamics, from geophysics to nuclear chemistry. Often they were closely interrelated, and to solve one’it was necessary to understand all the others. Even though the purpose was grim and terrifying, it was one of the greatest physics experiments of all time. Fermi completely immersed himself in the task. At the time of the test he was one of the very few persons (or perhaps the only one) who understood all the technical ramifications.
In Enrico Fermi: Physicist (1970), 145
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To Nature nothing can be added; from Nature nothing can be taken away; the sum of her energies is constant, and the utmost man can do in the pursuit of physical truth, or in the applications of physical knowledge, is to shift the constituents of the never-varying total. The law of conservation rigidly excludes both creation and annihilation. Waves may change to ripples, and ripples to waves; magnitude may be substituted for number, and number for magnitude; asteroids may aggregate to suns, suns may resolve themselves into florae and faunae, and floras and faunas melt in air: the flux of power is eternally the same. It rolls in music through the ages, and all terrestrial energy—the manifestations of life as well as the display of phenomena—are but the modulations of its rhythm.
Conclusion of Heat Considered as a Mode of Motion: Being a Course of Twelve Lectures Delivered at the Royal Institution of Great Britain in the Season of 1862 (1863), 449.
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To present science in purely abstract terms as a collection of information or as a system of knowledge, thereby ignoring the place of science in the drama of human history, is simply to rob the students of their own heritage as human beings and to reduce one of the most exciting chapters in the history of mankind to the bare bones of observed fact and the skeletons of dry theories built of them.
From 'The History of Science and the Teaching of Science', collected in I.B. Cohen and F.G. Watson(eds.), General Education in Science (1952), 72.
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To prove to an indignant questioner on the spur of the moment that the work I do was useful seemed a thankless task and I gave it up. I turned to him with a smile and finished, “To tell you the truth we don’t do it because it is useful but because it’s amusing.” The answer was thought of and given in a moment: it came from deep down in my soul, and the results were as admirable from my point of view as unexpected. My audience was clearly on my side. Prolonged and hearty applause greeted my confession. My questioner retired shaking his head over my wickedness and the newspapers next day, with obvious approval, came out with headlines “Scientist Does It Because It’s Amusing!” And if that is not the best reason why a scientist should do his work, I want to know what is. Would it be any good to ask a mother what practical use her baby is? That, as I say, was the first evening I ever spent in the United States and from that moment I felt at home. I realised that all talk about science purely for its practical and wealth-producing results is as idle in this country as in England. Practical results will follow right enough. No real knowledge is sterile. The most useless investigation may prove to have the most startling practical importance: Wireless telegraphy might not yet have come if Clerk Maxwell had been drawn away from his obviously “useless” equations to do something of more practical importance. Large branches of chemistry would have remained obscure had Willard Gibbs not spent his time at mathematical calculations which only about two men of his generation could understand. With this faith in the ultimate usefulness of all real knowledge a man may proceed to devote himself to a study of first causes without apology, and without hope of immediate return.
A.V. Hill
From lecture to a scientific society in Philadelphia on “The Mechanism of the Muscle” given by invitation after he received a Nobel Prize for that work. The quote is Hill’s response to a post-talk audience question asking disapprovingly what practical use the speaker thought there was in his research. The above quoted answer, in brief, is—for the intellectual curiosity. As quoted about Hill by Bernard Katz in his own autobiographical chapter, 'Sir Bernard Katz', collected in Larry R. Squire (ed.), The History of Neuroscience in Autobiography (1996), Vol. 1, 350-351. Two excerpts from the above have been highlighted as standalone quotes here in this same quote collection for A. V. Hill. They begin “All talk about science…” and “The most useless investigation may prove…”.
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To seek in the great accumulation of the already-said the text that resembles "in advance" a later text, to ransack history in order to rediscover the play of anticipations or echoes, to go right back to the first seeds or to go forward to the last traces, to reveal in a work its fidelity to tradition or its irreducible uniqueness, to raise or lower its stock of originality, to say that the Port -Royal grammarians invented nothing, or to discover that Cuvier had more predecessors than one thought, these are harmless enough amusements for historians who refuse to grow up.
The Archaeology of Knowledge (1969), trans. M. Sheridan Smith (1972), 144.
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To show, therefore, that we are capable of knowing, i.e. being certain that there is a God, and how we may come by this certainty, I think we need go no further than ourselves, and that undoubted knowledge we have of our own existence... For man knows that he himself exists... If any one pretends to be so sceptical as to deny his own existence, (for really to doubt of it is manifestly impossible,) let him for me enjoy his beloved happiness of being nothing, until hunger or some other pain convince him of the contrary... He knows also that nothing cannot produce a being; therefore something must have existed from eternity... Next, it is evident, that what had its being and beginning from another, must also have all that which is in and belongs to its being from another too. All the powers it has must be owing to and received from the same source. This eternal source, then, of all being must also be the source and original of all power; and so this eternal Being must be also the most powerful... And most knowing. Again, a man finds in himself perception and knowledge. We have then got one step further; and we are certain now that there is not only some being, but some knowing, intelligent being in the world. There was a time, then, when there was no knowing being, and when knowledge began to be; or else there has been also a knowing being from eternity...And therefore God.
Essay Concerning Human Understanding (1690), book 4, ch. 10, sec 19.
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To solve a problem is to create new problems, new knowledge immediately reveals new areas of ignorance, and the need for new experiments. At least, in the field of fast reactions, the experiments do not take very long to perform.
From Nobel Lecture (11 Dec 1967), 'Flash Photolysis and Some of its Applications.' In Nobel Lectures: Chemistry 1963-1970 (1972), 261.
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To some men knowledge of the universe has been an end possessing in itself a value that is absolute: to others it has seemed a means of useful applications.
In The Structure of Physical Chemistry (1951, 2005), 2.
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To stand at the edge of the sea … is to have knowledge of things that are as eternal as any earthly life can be.
In Under the Sea-Wind: A Naturalist’s Picture of Ocean Life (1941), xiii.
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To stop short in any research that bids fair to widen the gates of knowledge, to recoil from fear of difficulty or adverse criticism, is to bring reproach on science. There is nothing for the investigator to do but go straight on, 'to explore up and down, inch by inch, with the taper his reason;' to follow the light wherever it may lead, even should it at times resemble a will-o'-the-wisp.
Referring to his interest in psychical (spiritual) research.
Presidential address to the British Association (1898). Quoted in Harold Begbie in Pall Mall magazine (Jan 1903). In Albert Shaw, The American Monthly Review of Reviews (1903), 27, 232.
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To test a perfect theory with imperfect instruments did not impress the Greek philosophers as a valid way to gain knowledge.
The New Intelligent Man's Guide to Science (1965), Vol. 1, 12.
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To this day, we see all around us the Promethean drive to omnipotence through technology and to omniscience through science. The effecting of all things possible and the knowledge of all causes are the respective primary imperatives of technology and of science. But the motivating imperative of society continues to be the very different one of its physical and spiritual survival. It is now far less obvious than it was in Francis Bacon's world how to bring the three imperatives into harmony, and how to bring all three together to bear on problems where they superpose.
In 'Science, Technology and the Fourth Discontinuity' (1982). Reprinted in The Advancement of Science, and its Burdens (1986), 183.
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To this I may add another form of temptation, manifold in its dangers … There exists in the soul … a cupidity which does not take delight in the carnal pleasure but in perceptions acquired through the flesh. It is a vain inquisitiveness dignified with the title of knowledge and science. As this is rooted in the appetite for knowing, and as among the senses the eyes play a leading role in acquiring knowledge, the divine word calls it “the lust of the eyes” (I John, 2: 16) … To satisfy this diseased craving … people study the operations of nature, which lie beyond our grasp when there is no advantage in knowing and the investigators simply desire knowledge for its own sake. This motive is again at work if, using a perverted science for the same end, people try to achieve things by magical arts.
From Confessions (c.397), Book X, Chap. 35 (54-55), as given in Henry Chadwick, Confessions: A New Translation by Henry Chadwick (1991), 210-212.
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To unfold the secret laws and relations of those high faculties of thought by which all beyond the merely perceptive knowledge of the world and of ourselves is attained or matured, is a object which does not stand in need of commendation to a rational mind.
An Investigation of the Laws of Thought (1854), 3.
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To what part of electrical science are we not indebted to Faraday? He has increased our knowledge of the hidden and unknown to such an extent, that all subsequent writers are compelled so frequently to mention his name and quote his papers, that the very repetition becomes monotonous. [How] humiliating it may be to acknowledge so great a share of successful investigation to one man...
In the Second Edition ofElements of Electro-Metallurgy: or The Art of Working in Metals by the Galvanic Fluid (143), 128.
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Today there is a wide measure of agreement, which on the physical side of science approaches almost to unanimity, that the stream of knowledge is heading towards a non-mechanical reality; the universe begins to look more like a great thought than like a great machine. Mind no longer appears as an accidental intruder into the realm of matter; we are beginning to suspect that we ought rather to hail it as a creator and governor of the realm of matter. …
In The Mysterious Universe (1930, 1932), 181.
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Too much openness and you accept every notion, idea, and hypothesis—which is tantamount to knowing nothing. Too much skepticism—especially rejection of new ideas before they are adequately tested—and you're not only unpleasantly grumpy, but also closed to the advance of science. A judicious mix is what we need.
In 'Wonder and Skepticism', Skeptical Enquirer (Jan-Feb 1995), 19, No. 1.
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Traditional scientific method has always been at the very best, 20-20 hindsight. It’s good for seeing where you’ve been. It’s good for testing the truth of what you think you know, but it can’t tell you where you ought to go.
Zen and the Art of Motorcycle Maintenance (1974), 251.
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Train yourselves. Don’t wait to be fed knowledge out of a book. Get out and seek it. Make explorations. Do your own research work. Train your hands and your mind. Become curious. Invent your own problems and solve them. You can see things going on all about you. Inquire into them. Seek out answers to your own questions. There are many phenomena going on in nature the explanation of which cannot be found in books. Find out why these phenomena take place. Information a boy gets by himself is enormously more valuable than that which is taught to him in school.
In 'Dr. Irving Langmuir', Boys' Life (Jul 1941), 12.
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True science investigates and brings to human perception such truths and such knowledge as the people of a given time and society consider most important. Art transmits these truths from the region of perception to the region of emotion.
…...
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True science, which is the knowledge of facts, and true philosophy, which is the knowledge of principles, are always allied to true religion, which is the harmony of the soul with both facts and principles.
…...
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Truth and understanding are not such wares as to be monopolized and traded in by tickets and statutes and standards. We must not think to make a staple commodity of all the knowledge in the land, to mark and license it like our broadcloth and our woolpacks.
In Areopagitica: A speech of Mr John Milton for the Liberty of Unlicenced printing to the Parliament of England (23 Nov 1644), 23.
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Truth travels down from the heights of philosophy to the humblest walks of life, and up from the simplest perceptions of an awakened intellect to the discoveries which almost change the face of the world. At every stage of its progress it is genial, luminous, creative. When first struck out by some distinguished and fortunate genius, it may address itself only to a few minds of kindred power. It exists then only in the highest forms of science; it corrects former systems, and authorizes new generalizations. Discussion, controversy begins; more truth is elicited, more errors exploded, more doubts cleared up, more phenomena drawn into the circle, unexpected connexions of kindred sciences are traced, and in each step of the progress, the number rapidly grows of those who are prepared to comprehend and carry on some branches of the investigation,— till, in the lapse of time, every order of intellect has been kindled, from that of the sublime discoverer to the practical machinist; and every department of knowledge been enlarged, from the most abstruse and transcendental theory to the daily arts of life.
In An Address Delivered Before the Literary Societies of Amherst College (25 Aug 1835), 16-17.
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Unanimity of opinion may be fitting for a church, for the frightened or greedy victims of some (ancient, or modern) myth, or for the weak and willing followers of some tyrant. Variety of opinion is necessary for objective knowledge. And a method that encourages variety is also the only method that is comparable with a humanitarian outlook.
Against Method: Outline of an Anarchistic Theory of Knowledge (1975, 1993), 31-32.
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Under these circumstances, it is not surprising that the atheist movement—which declares religion to be an arbitrary illusion, devised by power-hungry priests, and for the pious belief in a higher Power over us—has nothing but words of mockery, eagerly makes use of the advancing scientific knowledge, and in apparent unity with it, accelerates its subverting action on the peoples of earth in all classes. I need not discuss here in any more detail, that after its victory, not only all the most precious wealth of our culture would topple, but—what is worse—the prospects for a better future.
In Religion und Naturwissenschaft, Vortrag Gehalten im Baltikum Mai 1937 (1958), 7. Translated by Webmaster, using online resources, and modifying punctuation). For a more easily understood version, more loosely translated, see the quote on this page beginning: “The atheist movement….” from the original German: “Unter diesen Umständen ist es nicht zu verwundern, wenn die Gottlosenbewegung, welche die Religion als ein willkürliches, von machtlüsternen Priestern ersonnenes Trugbild erklärt und für den frommen Glauben an eine höhere Macht über uns nur Worte des Hohnes übrig hat, sich mit Eifer die fortschreitende naturwissenschaftliche Erkenntnis zunutze macht und im angeblichen Bunde mit ihr in immer schnellerem Tempo ihre zersetzende Wirkung über die Völker der Erde in allen ihren Schichten vorantreibt. Daß mit ihrem Siege nicht nur die wertvollsten Schätze unserer Kultur, sondern, was schlimmer ist, auch die Aussichten auf eine bessere Zukunft der Vernichtung anheim fallen würden, brauche ich hier nicht näher zu erörtern.”
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Unfortunately what is little recognized is that the most worthwhile scientific books are those in which the author clearly indicates what he does not know; for an author most hurts his readers by concealing difficulties.
English version as given in Nicholas J. Rose, Mathematical Maxims and Minims (1988). Also seen (without citation) as an epigraph in Morris Kline, Mathematical Thought From Ancient to Modern Times (1990), Vol. 2, 752. From the original French, “C’est que, malheureusement, on ne se doute pas que le livre le plus précieux du plus savant serait celui où il dirait tout ce qu’il ne sait pas, c’est qu’on ne se doute pas qu’un auteur ne nuit* jamais tant à ses lecteurs que quand il dissimule une difficulté.” In 'Deux Mémoires d’Analyse Pure par E. Galois: Préface' (8 Oct 1831), collected in Jules Tannery (ed.), Manuscrits de Évariste Galois (1908), 27. A footnote indicates that the word “nuit” comes from an indistinct original. Since “nuit” (night) is an obvious error, Webmaster suggests the word “bruit” might make better sense, but is open to a better suggestion.
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Unfortunately, in many cases, people who write science fiction violate the laws of nature, not because they want to make a point, but because they don't know what the laws of nature are.
In Carl Howard Freedman (ed.), Conversations with Isaac Asimov (2005), back cover.
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Unless the structure of the nucleus has a surprise in store for us, the conclusion seems plain—there is nothing in the whole system if laws of physics that cannot be deduced unambiguously from epistemological considerations. An intelligence, unacquainted with our universe, but acquainted with the system of thought by which the human mind interprets to itself the contents of its sensory experience, and should be able to attain all the knowledge of physics that we have attained by experiment.
In Clive William Kilmister, Eddington's Search for a Fundamental Theory (1994), 202.
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Unshared knowledge, is knowledge lost.
As quoted by Bruce Ross, in 'Miscellaneous Ramblings', on his website, www.kuwiskuwi.net. Hickory (Geyosehi) wanted knowledge shared of the native culture of the Keetoowah. [It applies also to sharing of knowledge among scientists, among other disciplines. -Webmaster]
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Until man duplicates a blade of grass, nature can laugh at his so-called scientific knowledge.
Seen in several books, attributed without citation, for example, in Ann Wimore, The Wheatgrass Book (1985). If you know a primary source, please contact Webmaster.
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Upon the whole, Chymistry is as yet but an opening science, closely connected with the usefull and ornamental arts, and worthy the attention of the liberal mind. And it must always become more and more so: for though it is only of late, that it has been looked upon in that light, the great progress already made in Chymical knowledge, gives us a pleasant prospect of rich additions to it. The Science is now studied on solid and rational grounds. While our knowledge is imperfect, it is apt to run into error: but Experiment is the thread that will lead us out of the labyrinth.
In Alexander Law, Notes of Black's Lectures, vol. 3, 88. Cited in Charles Coulston Gillispie, Dictionary of Scientific Biography: Volumes 1-2 (1981), 181.
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Upon this ground it is that I am bold to think that morality is capable of demonstration, as well as mathematics: since the precise real essence of the things moral words stand for may be perfectly known, and so the congruity and incongruity of the things themselves be certainly discussed; in which consists perfect knowledge.
From An Essay in Human Understanding (1777), as quoted and cited in Philip Davis with Reuben Hersh, in The Mathematical Experience (1981), 110.
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Vagueness is very much more important in the theory of knowledge than you would judge it to be from the writings of most people. Everything is vague to a degree you do not realize till you have tried to make it precise, and everything precise is so remote from everything that we normally think, that you cannot for a moment suppose that is what we really mean when we say what we think.
In The Philosophy of Logical Atomism (1918, 1919), 2.
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Very few, even among those who have taken the keenest interest in the progress of the revolution in natural knowledge set afoot by the publication of the “Origin of Species”; and who have watched, not without astonishment, the rapid and complete change which has been effected both inside and outside the boundaries of the scientific world in the attitude of men’s minds towards the doctrines which are expounded in that great work, can have been prepared for the extraordinary manifestation of affectionate regard for the man, and of profound reverence for the philosopher, which followed the announcement, on Thursday last, of the death of Mr Darwin.
'Obituary [of Charles Darwin]' (1882). In Collected Essays (1893), Vol. 2, 244.
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Was it not the great philosopher and mathematician Leibnitz who said that the more knowledge advances the more it becomes possible to condense it into little books?
Opening remark in 'Introductory Note', Outline of Science: A Plain Story Simply Told (1922), Vol. 1, iii. Webmaster has not yet identified the quote in Leibnitz's original words (translated). If you know the primary source, please contact Webmaster.
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We … are profiting not only by the knowledge, but also by the ignorance, not only by the discoveries, but also by the errors of our forefathers; for the march of science, like that of time, has been progressing in the darkness, no less than in the light.
Reflection 490, in Lacon: Or Many Things in Few Words, Addressed to Those who Think (1832), 202.
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We achieve more than we know. We know more than we understand. We understand more than we can explain.
In AI: The Tumultuous History of the Search for Artificial Intelligence (1999), 159, but without citation. If you know a primary source, please contact Webmaster.
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We are a way for the cosmos to know itself.
From Carl Sagan's narration on a promotional video for the television series Cosmos.
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We are apt to think we know what time is because we can measure it, but no sooner do we reflect upon it than that illusion goes. So it appears that the range of the measureable is not the range of the knowable. There are things we can measure, like time, but yet our minds do not grasp their meaning. There are things we cannot measure, like happiness or pain, and yet their meaning is perfectly clear to us.
The Elements of Social Science (1921), 15-16
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We are as yet got little farther than to the surface of things: yet ought we not to be discouraged; though we can never hope to attain to the complete knowledge of the texture, or constituent frame and nature of bodies, yet may we reasonably expect by this method of experiments, to make farther and farther advances abundantly sufficient to reward our pains.
In 'Preface', Statical Essays: Containing Hæmastatics (1769), Vol. 2, ii.
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We are compelled to drive toward total knowledge, right down to the levels of the neuron and the gene. When we have progressed enough to explain ourselves in these mechanistic terms...the result might be hard to accept.
'Man: From Sociobiology to Sociology'. Sociobiology: The New Synthesis (1975, 1980), 301.
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We are drowning in information, and starved for knowledge.
Megatrends (1982), 24. In Lawrence W. Green and Marshall W. Kreuter, Health Promotion Planning: an Educational and Ecological Approach (1999), xxviii.
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We are impressed and even daunted by the immense Universe to be explored. “What we know is a point to what we do not know.”
In Emerson’s Complete Works: Volume 1, Nature, Addresses and Lectures (1855, 1889), 45.
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We are in a position similar to that of a mountaineer who is wandering over uncharted spaces, and never knows whether behind the peak which he sees in front of him and which he tries to scale there may not be another peak still beyond and higher up.
In Max Planck and James Vincent Murphy (trans.), Where is Science Going?, (1932), 200.
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We are probably nearing the limit of all we can know about astronomy.
(1888). Widely quoted, though always without a source, for example in Astronautics & Aeronautics? (1981), 30. If you know a primary print source to authenticate this quote, please contact Webmaster.
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We are the inheritors of a great scientific tradition and of a beautiful structure of knowledge. It is the duty of our generation to add to the perfection of this structure and to pass on to the next generation the best traditions of our science for the edification and entertainment of all mankind.
Concluding sentences of 'The Physicist Returns from the War', The Atlantic Monthly (Oct 1945), 176, No. 4, 114. Collected in 'Physics: A Physicist Surveys the Scene', American Thought 1947 (1947), 342.
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We believe that interest in nature leads to knowledge,
which is followed by understanding,
and later, appreciation.
Once respect is gained
it is a short step to responsibility,
and ultimately action
to preserve our Earth.
…...
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We can’t define anything precisely. If we attempt to, we get into that paralysis of thought that comes to philosophers… one saying to the other: “You don’t know what you are talking about!” The second one says: “What do you mean by know? What do you mean by talking? What do you mean by you?
In 'Motion', The Feynman Lectures on Physics (1961), Vol. 1, 8-2.
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We cannot conceive how the Foetus is form'd in the Womb, nor as much as how a Plant springs from the Earth we tread on ... And if we are ignorant of the most obvious things about us, and the most considerable within our selves, 'tis then no wonder that we know not the constitution and powers of the creatures, to whom we are such strangers.
Saducismus Triumphatus or Full and Plain Evidence Concerning Witches and Apparitions (1689),72-3.
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We cannot doubt of our existence while we doubt, and that this is the first knowledge we acquire when we philosophize in order. … The knowledge, I think, therefore I am, is the first and most certain that occurs to one who philosophizes orderly.
From the original Latin: “Non posse à nobis dubitari, quin existamus dum dubitamus; atque quod ordine philosophando cognoscimus. … Ac proinde hæc cognitio, ego cognito, ergo sum, est omnium | prima & certissima, quæ cuilibet ordine philosophanti occurant,” in Principia Philosophiæ (1644), Pars Prima, as collected in Charles Adam and Paul Tannery, Œuvres de Descartes (1905), Vol. 8, Proposition VII, 6-7. English version as given in John Veitch (trans.), The Method, Meditations, and Selections from the Principles of Descartes (1880), 195.
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We claim to be more moral than other nations, and to conquer and govern and tax and plunder weaker peoples for their good! While robbing them we actually claim to be benefactors! And then we wonder, or profess to wonder, why other Governments hate us! Are they not fully justified in hating us? Is it surprising that they seek every means to annoy us, that they struggle to get navies to compete with us, and look forward to a time when some two or three of them may combine together and thoroughly humble and cripple us? And who can deny that any just Being, looking at all the nations of the earth with impartiality and thorough knowledge, would decide that we deserve to be humbled, and that it might do us good?
In 'Practical Politics', The Clarion (30 Sep 1904), 1.
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We come therefore now to that knowledge whereunto the ancient oracle directeth us, which is the knowledge of ourselves; which deserveth the more accurate handling, by how much it toucheth us more nearly. This knowledge, as it is the end and term of natural philosophy in the intention of man, so notwithstanding it is but a portion of natural philosophy in the continent of nature. And generally let this be a rule, that all partitions of knowledges be accepted rather for lines and veins, than for sections and separations; and that the continuance and entireness of knowledge be preserved. For the contrary hereof hath made particular sciences to become barren, shallow, and erroneous; while they have not been nourished and maintained from the common fountain. So we see Cicero the orator complained of Socrates and his school, that he was the first that separated philosophy and rhetoric; whereupon rhetoric became an empty and verbal art. So we may see that the opinion of Copernicus touching the rotation of the earth, which astronomy itself cannot correct because it is not repugnant to any of the phenomena, yet natural philosophy may correct. So we see also that the science of medicine, if it be destituted and forsaken by natural philosophy, it is not much better than an empirical practice. With this reservation therefore we proceed to Human Philosophy or Humanity, which hath two parts: the one considereth man segregate, or distributively; the other congregate, or in society. So as Human Philosophy is either Simple and Particular, or Conjugate and Civil. Humanity Particular consisteth of the same parts whereof man consisteth; that is, of knowledges that respect the Body, and of knowledges that respect the Mind. But before we distribute so far, it is good to constitute. For I do take the consideration in general and at large of Human Nature to be fit to be emancipate and made a knowledge by itself; not so much in regard of those delightful and elegant discourses which have been made of the dignity of man, of his miseries, of his state and life, and the like adjuncts of his common and undivided nature; but chiefly in regard of the knowledge concerning the sympathies and concordances between the mind and body, which, being mixed, cannot be properly assigned to the sciences of either.
The Advancement of Learning (1605) in James Spedding, Robert Ellis and Douglas Heath (eds.), The Works of Francis Bacon (1887-1901), Vol. 3, 366-7.
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We do not ask what hope of gain makes a little bird warble, since we know that it takes delight in singing because it is for that very singing that the bird was made, so there is no need to ask why the human mind undertakes such toil in seeking out these secrets of the heavens. ... And just as other animals, and the human body, are sustained by food and drink, so the very spirit of Man, which is something distinct from Man, is nourished, is increased, and in a sense grows up on this diet of knowledge, and is more like the dead than the living if it is touched by no desire for these things.
Mysterium Cosmographicum. Translated by A. M. Duncan in The Secret of the Universe (1981), 55.
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We do not know that any one of the bodies denominated elementary absolutely indecomposable.
In A New System of Chemical Philosophy (1808), 221-222.
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We do not live in a time when knowledge can be extended along a pathway smooth and free from obstacles, as at the time of the discovery of the infinitesimal calculus, and in a measure also when in the development of projective geometry obstacles were suddenly removed which, having hemmed progress for a long time, permitted a stream of investigators to pour in upon virgin soil. There is no longer any browsing along the beaten paths; and into the primeval forest only those may venture who are equipped with the sharpest tools.
In 'Mathematisches und wissenschaftliches Denken', Jahresbericht der Deutschen Mathematiker Vereinigung, Bd. 11, 55. In Robert Édouard Moritz, Memorabilia Mathematica; Or, The Philomath’s Quotation-book (1914), 91.
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We don't know what we are talking about. Many of us believed that string theory was a very dramatic break with our previous notions of quantum theory. But now we learn that string theory, well, is not that much of a break. The state of physics today is like it was when we were mystified by radioactivity. They were missing something absolutely fundamental. We are missing perhaps something as profound as they were back then.
Closing address to the 23rd Solvay Conference in Physics, Brussels, Belgium (Dec 2005). Quoted in Ashok Sengupta, Chaos, Nonlinearity, Complexity: The Dynamical Paradigm of Nature (2006), vii. Cite in Alfred B. Bortz, Physics: Decade by Decade (2007), 206.
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We find it a law of our state of being that where only observation can be made the growth of knowledge creeps; where experiment can be made knowledge leaps forward.
From Norman Lockyer Lecture delivered before the British Science Guild (19 Nov 1929), 'Medical Research: The Tree and the Fruit', in The British Medical Journal (30 Nov 1929), Vol. 2, No. 3595, 995. Fletcher introduces this statement as a “truism,” without mention of any prior person saying it. Yet it is very similar to a quote often seen, perhaps incorrectly, as a quote attributed to Michael Faraday: “A natural law regulates the advance of science. Where only observation can be made, the growth of knowledge creeps; where laboratory experiments can be carried on, knowledge leaps forward.” Webmaster has found no instance of this quote being made prior to 1929, which raises the suspicion that Faraday did not originate it — else why is it not easily found in his written work or quoted in a book in all the years since his time? If you know a primary source linking it to Faraday, please contact Webmaster.
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We find that one of the most rewarding features of being scientists these days ... is the common bond which the search for truth provides to scholars of many tongues and many heritages. In the long run, that spirit will inevitably have a constructive effect on the benefits which man can derive from knowledge of himself and his environment.
Nobel Prize Banquet Speech (10 Dec 1972).
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We have corrupted the term research to mean study and experiment and development toward selected objectives, and we have even espoused secret and classified projects. This was not the old meaning of university research. We need a new term, or the revival of a still older one, to refer to the dedicated activities of the scholar, the intensive study of special aspects of a subject for its own sake, motivated by the love of knowledge and truth.
In 'Technology and National Research Policy', Bulletin of the Atomic Scientists (Oct 1953), 292.
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We have no knowledge, that is, no general principles drawn from the contemplation of particular facts, but what has been built up by pleasure, and exists in us by pleasure alone. The Man of Science, the Chemist and Mathematician, whatever difficulties and disgusts they may have had to struggle with, know and feel this. However painful may be the objects with which the Anatomist's knowledge is connected, he feels that his knowledge is pleasure; and where he has no pleasure he has no knowledge.
In Lyrical Ballads: With Pastoral and Other Poems (3rd Ed., 1802), Vol. 1, Preface, xxxiv.
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We have no organ at all for knowledge, for ‘truth’: we ‘know’ (or believe or imagine) precisely as much as may be useful in the interest of the human herd, the species: and even what is here called ‘usefulness’ is in the end only a belief, something imagined and perhaps precisely that most fatal piece of stupidity by which we shall one day perish.
Sämtliche Werke: Kritische Studienausgabe, vol. 3, p. 593, eds. Giorgio Colli and Mazzino Montinari, Berlin, de Gruyter (1980). The Gay Science, second edition, 'Fifth Book: We Fearless Ones,' section 354 (1887).
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We have not the reverent feeling for the rainbow that a savage has, because we know how it is made. We have lost as much as we gained by prying into that matter.
In A Tramp Abroad (1907), 170.
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We have two kinds of knowledge which I call symbolic knowledge and intimate knowledge. I do not know whether it would be correct to say that reasoning is only applicable to symbolic knowledge, but the more customary forms of reasoning have been developed for symbolic knowledge only. The intimate knowledge will not submit to codification and analysis; or, rather, when we attempt to analyse it the intimacy is lost and it is replaced by symbolism. … Experience is intimate knowledge.
In 'Science and Mysticism', The Nature of the Physical World (1928), 321-322.
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We have usually no knowledge that any one factor will exert its effects independently of all others that can be varied, or that its effects are particularly simply related to variations in these other factors.
The Design of Experiments (6th Ed., 1951), 92.
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We have, through our play schools, attempted to fit our children to enjoy life by feeding them upon the pap manufactured by theoretical educators possessing little knowledge of the vital sciences of life.
Co-author with Louis Jay Heath, in A New Basis for Social Progress (1917), 152.
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We intend to say something about the structure of the atom but lack a language in which we can make ourselves understood. We are in much the same position as a sailor, marooned on a remote island where conditions differ radically from anything he has ever known and where, to make things worse, the natives speak a completely alien tongue.
In conversation during first meeting with Werner Heisenberg (summer 1920), as quoted in William H. Cropper, Great Physicists: The Life and Times of Leading Physicists from Galileo to Hawking (2001), 249-250.
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We know a lot because we as a species have lived and behaved a lot.
As quoted in Robert Coughlan, 'Dr. Edward Teller’s Magnificent Obsession', Life (6 Sep 1954), 74.
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We know by experience itself, that … we find out but a short way, by long wandering.
The Scholemaster (1570), Book 1.
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We know less about the ocean's bottom than about the moon's back side.
Quoted in obituary, Physics Today (Feb 1992) 120.
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We know next to nothing about virtually everything. It is not necessary to know the origin of the universe; it is necessary to want to know. Civilization depends not on any particular knowledge, but on the disposition to crave knowledge
In A Toolbox for Humanity: More than 9000 Years of Thought (2006), Vol. 1, 68.
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We know that there is an infinite, and we know not its nature. As we know it to be false that numbers are finite, it is therefore true that there is a numerical infinity. But we know not of what kind; it is untrue that it is even, untrue that it is odd; for the addition of a unit does not change its nature; yet it is a number, and every number is odd or even (this certainly holds of every finite number). Thus we may quite well know that there is a God without knowing what He is.
Pensées (1670), Section 1, aphorism 223. In H. F. Stewart (ed.), Pascal's Pensées (1950), 117.
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We know the laws of trial and error, of large numbers and probabilities. We know that these laws are part of the mathematical and mechanical fabric of the universe, and that they are also at play in biological processes. But, in the name of the experimental method and out of our poor knowledge, are we really entitled to claim that everything happens by chance, to the exclusion of all other possibilities?
From Nobel Prize Lecture (Dec 1974), 'The Coming Age of the Cell'. Collected in Jan Lindsten (ed.) Nobel Lectures, Physiology or Medicine 1971-1980 (1992).
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We know very little, and yet it is astonishing that we know so much, and still more astonishing that so little knowledge can give us so much power.
…...
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We live in a society exquisitely dependent on science and technology, in which hardly anyone knows anything about science and technology.
In 'Why We Need To Understand Science', The Skeptical Inquirer (Spring 1990), 14, No. 3.
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We live on an island of knowledge surrounded by a sea of ignorance. As our island of knowledge grows, so does the shore of our ignorance.
In 'Gravity quantized?', Scientific American (Sep 1992), 267, No. 3, 18-19. As quoted and cited in Clifford A. Pickover, Wonders of Numbers (2003), 195.
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We may be sure, that if Lyell were now living he would frankly recognize new facts, as soon as they were established, and would not shrink from any modification of his theory which these might demand. Great as were his services to geology, this, perhaps, is even greater—for the lesson applies to all sciences and to all seekers alter knowledge—that his career, from first to lost, was the manifestation of a judicial mind, of a noble spirit, raised far above all party passions and petty considerations, of an intellect great in itself, but greater still in its grand humility; that he was a man to whom truth was as the “pearl of price,” worthy of the devotion and, if need be, the sacrifice of a life.
Conclusion in Charles Lyell and Modern Geology (1895), 213.
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We may best hope to understand the nature and conditions of real knowledge, by studying the nature and conditions of the most certain and stable portions of knowledge which we already possess: and we are most likely to learn the best methods of discovering truth, by examining how truths, now universally recognised, have really been discovered.
In The Philosophy of the Inductive Sciences (1840), Vol. I, 3-4.
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We must take the abiding spiritual values which inhere in the deep experiences of religion in all ages and give them new expression in terms of the framework which our new knowledge gives us. Science forces religion to deal with new ideas in the theoretical realm and new forces in the practical realm.
Address to Seventh Annual Midsummer Conferences of Ministers and Other Christian Workers, held by Union Theological Seminary, at Columbia University gymnasium (19 Jul 1927), as quoted in 'Fosdick Sees Bible Outrun by Science', New York Times (20 Jul 1927), 23.
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We need another and a wiser and perhaps a more mystical concept of animals. Remote from universal nature, and living by complicated artifice, man in civilization surveys the creature through the glass of his knowledge and sees thereby a feather magnified and the whole image in distortion. We patronize them for their incompleteness, for their tragic fate of having taken form so far below ourselves. And therein we err, and greatly err. For the animal shall not be measured by man. In a world older and more complete than ours they move finished and complete, gifted with extensions of the senses we have lost or never attained, living by voices we shall never hear. They are not brethren, they are not underlings; they are other nations, caught with ourselves in the net of life and time, fellow prisoners of the splendour and travail of the earth.
The Outermost House (1928), 25.
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We need constantly new accessions of truth as to the universe and better definition of the truths which are old. Such knowledge, tested and placed in order, we call science. Science is the gathered wisdom of the race.
From Presidential Address (5 Dec 1896) to the Biological Society of Washington, 'The Malarial Parasite and Other Pathogenic Protozoa', Popular Science Monthly (Mar 1897), 642.
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We need only reflect on what has been prov'd at large, that we are never sensible of any connexion betwixt causes and effects, and that 'tis only by our experience of their constant conjunction, we can arrive at any knowledge of this relation.
A Treatise on Human Nature (1739-40), ed. L. A. Selby-Bigge (1888), book 1, part 4, section 165, 247.
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We often observe in lawyers, who as Quicquid agunt homines is the matter of law suits, are sometimes obliged to pick up a temporary knowledge of an art or science, of which they understood nothing till their brief was delivered, and appear to be much masters of it.
In The Life of Samuel Johnson (1820), Vol. 1, 218. The Latin phrase translates as “what people do.”
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We pass with admiration along the great series of mathematicians, by whom the science of theoretical mechanics has been cultivated, from the time of Newton to our own. There is no group of men of science whose fame is higher or brighter. The great discoveries of Copernicus, Galileo, Newton, had fixed all eyes on those portions of human knowledge on which their successors employed their labors. The certainty belonging to this line of speculation seemed to elevate mathematicians above the students of other subjects; and the beauty of mathematical relations and the subtlety of intellect which may be shown in dealing with them, were fitted to win unbounded applause. The successors of Newton and the Bernoullis, as Euler, Clairaut, D’Alembert, Lagrange, Laplace, not to introduce living names, have been some of the most remarkable men of talent which the world has seen.
In History of the Inductive Sciences, Vol. 1, Bk. 4, chap. 6, sect. 6.
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We profess to teach the principles and practice of medicine, or, in other words, the science and art of medicine. Science is knowledge reduced to principles; art is knowledge reduced to practice. The knowing and doing, however, are distinct. ... Your knowledge, therefore, is useless unless you cultivate the art of healing. Unfortunately, the scientific man very often has the least amount of art, and he is totally unsuccessful in practice; and, on the other hand, there may be much art based on an infinitesimal amount of knowledge, and yet it is sufficient to make its cultivator eminent.
From H.G. Sutton, Abstract of Lecture delivered at Guy's Hospital by Samuel Wilks, 'Introductory to Part of a Course on the Theory and Practice of Medicine', The Lancet (24 Mar 1866), 1, 308
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We say that knowing begins in our intrigue about some subject, but that intrigue is the result of the subject’s action upon us: geologists are people who hear rocks speak, historians are people who hear the voices of the long dead, writers are people who hear the music of words.
In The Courage to Teach: Exploring the Inner Landscape of a Teacher’s Life (1998), 105.
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We seem to be heading for a state of affairs in which the determination of whether or not Doomsday has arrived will be made either by an automatic device ... or by a pre-programmed president who, whether he knows it or not, will be carrying out orders written years before by some operations analyst.
In The Race to Oblivion, (1970), 232.
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We set sail on this new sea because there is new knowledge to be gained, and new rights to be won, and they must be won and used for the progress of all people. For space science, like nuclear science and technology, has no conscience of its own. Whether it will become a force for good or ill depends on man, and only if the United States occupies a position of preeminence can we help decide whether this new ocean will be a sea of peace or a new terrifying theater of war.
Address at Rice University in Houston (12 Sep 1962). On website of John F. Kennedy Presidential Library and Museum. [This go-to-the-moon speech was largely written by presidential advisor and speechwriter Ted Sorensen.]
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We shall therefore say that a program has common sense if it automatically deduces for itself a sufficient wide class of immediate consequences of anything it is told and what it already knows. ... Our ultimate objective is to make programs that learn from their experience as effectively as humans do.
'Programs with Common Sense', (probably the first paper on AI), delivered to the Teddington Conference on the Mechanization of Thought Processes (Dec 1958). Printed in National Physical Laboratory, Mechanisation of Thought Processes: Proceedings of a Symposium Held at the National Physical Laboratory on 24th, 25th, 26th and 27th November 1958 (1959), 78. Also Summary in John McCarthy and Vladimir Lifschitz (ed.), Formalizing Common Sense: Papers by John McCarthy (1990), 9-10.
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We spend long hours discussing the curious situation that the two great bodies of biological knowledge, genetics and embryology, which were obviously intimately interrelated in development, had never been brought together in any revealing way. An obvious difficulty was that the most favorable organisms for genetics, Drosophila as a prime example, were not well suited for embryological study, and the classical objects of embryological study, sea urchins and frogs as examples, were not easily investigated genetically. What might we do about it? There were two obvious approaches: one to learn more about the genetics of an embryologically favourable organism, the other to better understand the development of Drosophila. We resolved to gamble up to a year of our lives on the latter approach, this in Ephrussi’s laboratory in Paris which was admirably equipped for tissue culture, tissue or organ transplantation, and related techniques.
In 'Recollections', Annual Review of Biochemistry, 1974, 43, 6.
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We thus begin to see that the institutionalized practice of citations and references in the sphere of learning is not a trivial matter. While many a general reader–that is, the lay reader located outside the domain of science and scholarship–may regard the lowly footnote or the remote endnote or the bibliographic parenthesis as a dispensable nuisance, it can be argued that these are in truth central to the incentive system and an underlying sense of distributive justice that do much to energize the advancement of knowledge.
In ''he Matthew Effect in Science, II: Cumulative Advantage and the Symbolism of Intellectual Property', Isis (1988), 79, 621.
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We’re suffocating ourselves by cutting things down. And the awful thing is that the knowledge is there. Fifty years ago when we exterminated things, we did it without realising. Now there’s plenty of evidence of what it is we’re doing, and yet we keep on doing it.
In Rowan Hooper, 'One Minute With… David Attenborough', New Scientist (2 Feb 2013), 217, No. 2902, 25.
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Were I asked to define it, I should reply that archæology is that science which enables us to register and classify our knowledge of the sum of man’s achievement in those arts and handicrafts whereby he has, in time past, signalized his passage from barbarism to civilization.
In Pharaohs, Fellahs and Explorers (1891), 24.
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Were the Greeks scientists? Then so are the modern chiropractors. What they had of exact knowledge, in fact, was mainly borrowed, and most of it was spoiled in the borrowing.
From book review (of The Cambridge Ancient History, Vol. V), in the American Mercury (Oct 1927), 254-55. Collected in A Mencken Chrestomathy (1949, 1956), 215.
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Were we in danger of stopping [the experiment] when we liked the answer? I realized then, as I have often said since, that nature does not “know” what experiment a scientist is trying to do. “God loves the noise as much as the signal.”
In Confessions of a Technophile (1994), 45, with embedded quote by Branscomb cited in footnote as from 'Physics and the APS in 1979', Physics Today (Apr 1980), 33, No. 4, 49.
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What a curious attitude scientists have: ‘We still don’t know that; but it is knowable and it is only a matter of time before we get to know it!’ As if that went without saying.
Quoted in S. Hilmy, The Later Wittgenstein: The Emergence of a New Philosophical Method (1987), 220.
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What animates a great pathologist? Is it the desire to cure disease, to save life? Surely not, save perhaps as an afterthought. He is too intelligent, deep in his soul, to see anything praiseworthy in such a desire. He knows from life-long observation that his discoveries will do quite as much harm as good, that a thousand scoundrels will profit to every honest man, that the folks who most deserve to be saved will probably be the last to be saved. ... What actually moves him is his unquenchable curiosity—his boundless, almost pathological thirst to penetrate the unknown, to uncover the secret, to find out what has not been found out before. ... [like] the dog sniffing tremendously at an infinite series of rat-holes. ... And yet he stands in the very front rank of the race
In 'The Scientist', Prejudices: third series (1922), 269-70.
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What has been done is little—scarcely a beginning; yet it is much in comparison with the total blank of a century past. And our knowledge will, we are easily persuaded, appear in turn the merest ignorance to those who come after us. Yet it is not to be despised, since by it we reach up groping to touch the hem of the garment of the Most High.
In A Popular History of Astronomy During the Nineteenth Century (1893), 528. Also quoted in Carl Sagan, Broca's Brain (1986), 240.
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What is a scientist after all? It is a curious man looking through a keyhole, the keyhole of nature, trying to know what’s going on.
In Christian Science Monitor (21 July 1971). As cited in Michael C. Thomsett, Linda Rose Thomsett, A Speaker's Treasury of Quotations: Maxims, Witticisms and Quips for Speeches and Presentations (2009), 102.
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What is known for certain is dull.
'My Commonplace Book', in I Wish I'd Made You Angry Earlier (1998), 314.
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What is mathematics? What is it for? What are mathematicians doing nowadays? Wasn't it all finished long ago? How many new numbers can you invent anyway? Is today’s mathematics just a matter of huge calculations, with the mathematician as a kind of zookeeper, making sure the precious computers are fed and watered? If it’s not, what is it other than the incomprehensible outpourings of superpowered brainboxes with their heads in the clouds and their feet dangling from the lofty balconies of their ivory towers?
Mathematics is all of these, and none. Mostly, it’s just different. It’s not what you expect it to be, you turn your back for a moment and it's changed. It's certainly not just a fixed body of knowledge, its growth is not confined to inventing new numbers, and its hidden tendrils pervade every aspect of modern life.
Opening paragraphs of 'Preface', From Here to Infinity (1996), vii.
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What is peculiar and new to the [19th] century, differentiating it from all its predecessors, is its technology. It was not merely the introduction of some great isolated inventions. It is impossible not to feel that something more than that was involved. … The process of change was slow, unconscious, and unexpected. In the nineteeth century, the process became quick, conscious, and expected. … The whole change has arisen from the new scientific information. Science, conceived not so much in its principles as in its results, is an obvious storehouse of ideas for utilisation. … Also, it is a great mistake to think that the bare scientific idea is the required invention, so that it has only to be picked up and used. An intense period of imaginative design lies between. One element in the new method is just the discovery of how to set about bridging the gap between the scientific ideas, and the ultimate product. It is a process of disciplined attack upon one difficulty after another This discipline of knowledge applies beyond technology to pure science, and beyond science to general scholarship. It represents the change from amateurs to professionals. … But the full self-conscious realisation of the power of professionalism in knowledge in all its departments, and of the way to produce the professionals, and of the importance of knowledge to the advance of technology, and of the methods by which abstract knowledge can be connected with technology, and of the boundless possibilities of technological advance,—the realisation of all these things was first completely attained in the nineteeth century.
In Science and the Modern World (1925, 1997), 96.
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What is research, but a blind date with knowledge.
Anonymous
Quoted in Robert S. Ely, Creating the Creative (2006), 60, attributed to William Henry, but without citation. It is seen in different sources variously attributed to William Henry, William J. Henry, Will Henry or Will Harvey. Webmaster has not found a primary print source documenting its authenticity. If you can supply one, please contact the webmaster. Meanwhile, it is listed here as anonymous.
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What matters in science is the body of findings and generalizations available today: a time-defined cross-section of the process of scientific discovery. I see the advance of science as self-erasing in the sense that only those elements survive that have become part of the active body of knowledge.
In A Slot Machine, A Broken Test Tube (1985), 123.
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What men want is not knowledge, but certainty.
Uncertain attribution. Often seen, but Webmaster has not yet found this wording in a primary source, and remains uncertain that this is an actual Russell quote. It is included here to provide this caution. Contact Webmaster if you have more information.
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What others strive to see dimly and blindly, like bats in twilight, he [Petrus Peregrinus] gazes at in the full light of day, because he is a master of experiment. Through experiment he gains knowledge of natural things, medical, chemical, and indeed of everything in the heavens or earth. … He has even taken note of the remedies, lot casting, and charms used by old women and by wizards and magicians, and of the deceptions and devices of conjurors, so that nothing which deserves inquiry should escape him, and that he may be able to expose the falsehoods of magicians.
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What remains to be learned may indeed dwarf imagination. Nevertheless, the universe itself is closed and finite. … The uniformity of nature and the general applicability of natural laws set limits to knowledge. If there are just 100, or 105, or 110 ways in which atoms may form, then when one has identified the full range of properties of these, singly and in combination, chemical knowledge will be complete.
Presidential Address (28 Dec 1970) to the American Association for the Advancement of Science. 'Science: Endless Horizons or Golden Age?', Science (8 Jan 1971), 171, No. 3866, 24.
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What the founders of modern science, among them Galileo, had to do, was not to criticize and to combat certain faulty theories, and to correct or to replace them by better ones. They had to do something quite different. They had to destroy one world and to replace it by another. They had to reshape the framework of our intellect itself, to restate and to reform its concepts, to evolve a new approach to Being, a new concept of knowledge, a new concept of science—and even to replace a pretty natural approach, that of common sense, by another which is not natural at all.
In 'Galileo and Plato', Journal of the History of Ideas (1943), 405.
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What we know here is very little, but what we are ignorant of is immense
In Hialmer Day Gould, New Practical Spelling (1905), 15.
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What we want is to see the child in pursuit of knowledge, and not knowledge in pursuit of the child.
…...
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What, in fact, is mathematical discovery? It does not consist in making new combinations with mathematical entities that are already known. That can be done by anyone, and the combinations that could be so formed would be infinite in number, and the greater part of them would be absolutely devoid of interest. Discovery consists precisely in not constructing useless combinations, but in constructing those that are useful, which are an infinitely small minority. Discovery is discernment, selection.
In Science et Méthode (1920), 48, as translated by Francis Maitland, in Science and Method (1908, 1952), 50-51. Also seen elsewhere translated with “invention” in place of “discovery”.
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Whatever be the detail with which you cram your student, the chance of his meeting in after life exactly that detail is almost infinitesimal; and if he does meet it, he will probably have forgotten what you taught him about it. The really useful training yields a comprehension of a few general principles with a thorough grounding in the way they apply to a variety of concrete details. In subsequent practice the men will have forgotten your particular details; but they will remember by an unconscious common sense how to apply principles to immediate circumstances. Your learning is useless to you till you have lost your textbooks, burnt your lecture notes, and forgotten the minutiae which you learned by heart for the examination. What, in the way of detail, you continually require will stick in your memory as obvious facts like the sun and the moon; and what you casually require can be looked up in any work of reference. The function of a University is to enable you to shed details in favor of principles. When I speak of principles I am hardly even thinking of verbal formulations. A principle which has thoroughly soaked into you is rather a mental habit than a formal statement. It becomes the way the mind reacts to the appropriate stimulus in the form of illustrative circumstances. Nobody goes about with his knowledge clearly and consciously before him. Mental cultivation is nothing else than the satisfactory way in which the mind will function when it is poked up into activity.
In 'The Rhythm of Education', The Aims of Education: & Other Essays (1917), 41.
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Whatever may happen to the latest theory of Dr. Einstein, his treatise represents a mathematical effort of overwhelming proportions. It is the more remarkable since Einstein is primarily a physicist and only incidentally a mathematician. He came to mathematics rather of necessity than by predilection, and yet he has here developed mathematical formulae and calculations springing from a colossal knowledge.
In 'Marvels at Einstein For His Mathematics', New York Times (4 Feb 1929), 3.
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Whatever we Greeks receive from the barbarians, we improve and perfect; there is good hope and promise, therefore that Greeks will carry this knowledge far beyond that which was introduced from abroad.
Plato
From the 'Epilogue to the Laws' (Epinomis). As quoted in William Whewell, History of the Inductive Sciences from the Earliest to the Present Time (1837), Vol. 1, 161. (Although referenced to Plato’s Laws, the Epinomis is regarded as a later addition, not by Plato himself.)
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Whatsoever therefore is consequent to a time of Warre, where every man is Enemy to every man; the same is consequent to the time, wherein men live without other security, than what their own strength, and their own invention shall furnish them withall. In such condition, there is no place for Industry; because the fruit thereof is uncertain: and consequently no Culture of the Earth; no Navigation, nor use of the commodities that may be imported by Sea; no commodious Building; no Instruments of moving, and removing, such things as require much force; no Knowledge of the face of the Earth; no account of Time; no Arts; no Letters; no Society; and which is worst of all, continual fear, and danger of violent death; And the life of man, solitary, poore, nasty, brutish, and short.
Leviathan (1651), ed. C. B. Macpherson (1968), Part 1, Chapter 13, 186.
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Wheeler’s First Moral Principle: Never make a calculation until you know the answer. Make an estimate before every calculation, try a simple physical argument (symmetry! invariance! conservation!) before every derivation, guess the answer to every paradox and puzzle. Courage: No one else needs to know what the guess is. Therefore make it quickly, by instinct. A right guess reinforces this instinct. A wrong guess brings the refreshment of surprise. In either case life as a spacetime expert, however long, is more fun!
In E.F. Taylor and J.A. Wheeler, Spacetime Physics (1992), 20.
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When … a large number of renegade specialists and amateurs believe contrary to the most prestigious experts, the latter say, well science is not democratic, it is what the people who know the most say—that is what counts!
In Seeing Red: Redshifts, Cosmology and Academic Science (1998), 273.
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When a doctor does go wrong he is the first of criminals. He has nerve and he has knowledge.
The Adventure of the Speckled Band. In The Strand Magazine (1892), 3, 154.
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When chemists have brought their knowledge out of their special laboratories into the laboratory of the world, where chemical combinations are and have been through all time going on in such vast proportions,—when physicists study the laws of moisture, of clouds and storms, in past periods as well as in the present,—when, in short, geologists and zoologists are chemists and physicists, and vice versa,—then we shall learn more of the changes the world has undergone than is possible now that they are separately studied.
Geological Sketches (1866), 73.
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When first I applied my mind to Mathematics I read straight away most of what is usually given by the mathematical writers, and I paid special attention to Arithmetic and Geometry because they were said to be the simplest and so to speak the way to all the rest. But in neither case did I then meet with authors who fully satisfied me. I did indeed learn in their works many propositions about numbers which I found on calculation to be true. As to figures, they in a sense exhibited to my eyes a great number of truths and drew conclusions from certain consequences. But they did not seem to make it sufficiently plain to the mind itself why these things are so, and how they discovered them. Consequently I was not surprised that many people, even of talent and scholarship, should, after glancing at these sciences, have either given them up as being empty and childish or, taking them to be very difficult and intricate, been deterred at the very outset from learning them. … But when I afterwards bethought myself how it could be that the earliest pioneers of Philosophy in bygone ages refused to admit to the study of wisdom any one who was not versed in Mathematics … I was confirmed in my suspicion that they had knowledge of a species of Mathematics very different from that which passes current in our time.
In Elizabeth S. Haldane (trans.) and G.R.T. Ross (trans.), 'Rules for the Direction of the Mind', The Philosophical Works of Descartes (1911, 1973), Vol. 1, Rule 4, 11.
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When I examine myself and my methods of thought, I come to the conclusion that the gift of fantasy has meant more to me that my talent for absorbing positive knowledge.
…...
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When I started my work in 1909 there was about one fatality for every 2000 miles of flight and probably a few crashes for every 100 miles. Much of the design and flight knowledge that is now taken for granted was then unknown and … had to be learned through failures and tragedies.
In address (16 Nov 1964) presented to the Wings Club, New York City, published as Recollections and Thoughts of a Pioneer (1964), 6.
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When I was eight, I played Little League. I was on first; I stole third; I went straight across. Earlier that week, I learned that the shortest distance between two points was a direct line. I took advantage of that knowledge.
In Comic Relief (1996).
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When I was young, I said to God, “God, tell me the mystery of the universe.” But God answered, “That knowledge is for me alone”. So I said, “God, tell me the mystery of the peanut.” Then God said, “Well, George, that’s more nearly your size.” And he told me.
In Walter B. Knight, Knight’s Treasury of Illustrations (1956), 368, citing The Gospel Banner.
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When rich men are thus brought to regard themselves as trustees, and poor men learn to be industrious, economical, temperate, self-denying, and diligent in the acquisition of knowledge, then the deplorable strife between capital and labor, tending to destroy their fundamental, necessary, and irrefragable harmony will cease, and the world will no longer be afflicted with such unnatural industrial conflicts as we have seen during the past century...
Address (31 May 1871) to the 12th annual commencement at the Cooper Union, honoring his 80th birthday, in New York City Mission and Tract Society, Annual report of the New York City Mission and Tract Society (1872), 69.
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When someone builds a bridge, he uses engineers who have been certified as knowing what they are doing. Yet when someone builds you a software program, he has no similar certification, even though your safety may be just as dependent upon that software working as it is upon the bridge supporting your weight.
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When someone says “I am thinking, therefore I am, or I exist,” he does not deduce existence from thought by means of a syllogism, but recognises it as something self-evident by a simple intuition of the mind. This is clear from the fact that if he were deducing it by means of a syllogism, he would have to have had previous knowledge of the major premiss 'Everything which thinks is, or exists'; yet in fact he learns it from experiencing in his own case that it is impossible that he should think without existing. It is in the nature of our mind to construct general propositions on the basis of our knowledge of particular ones.
Author's Replies to the Second set of Objections to Meditations on the First Philosophy (1641), in The Philosophical Writings of Descartes (1985), trans. J. Cottingham, R. Stoothoff and D. Murdoch, Vol. 2, 100.
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When the Romans besieged the town [Sicily] (in 212 to 210 B.C.), he [Archimedes] is said to have burned their ships by concentrating on them, by means of mirrors, the sun’s rays. The story is highly improbable, but is good evidence of the reputation which he had gained among his contemporaries for his knowledge of optics.
In An Introduction to Mathematics (1911), 37.
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When the war finally came to an end, 1 was at a loss as to what to do. ... I took stock of my qualifications. A not-very-good degree, redeemed somewhat by my achievements at the Admiralty. A knowledge of certain restricted parts of magnetism and hydrodynamics, neither of them subjects for which I felt the least bit of enthusiasm.
No published papers at all … [Only gradually did I realize that this lack of qualification could be an advantage. By the time most scientists have reached age thirty they are trapped by their own expertise. They have invested so much effort in one particular field that it is often extremely difficult, at that time in their careers, to make a radical change. I, on the other hand, knew nothing, except for a basic training in somewhat old-fashioned physics and mathematics and an ability to turn my hand to new things. … Since I essentially knew nothing, I had an almost completely free choice. …
In What Mad Pursuit (1988).
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When the well’s dry, we know the worth of water.
In Poor Richard’s Almanac (1757, 1900), 23. Published earlier (1732) by Thomas Fuller as: “We never know the worth of water ’til the well is dry.” Proverb collected by Thomas Fuller in Gnomologia: Adagies and Proverbs: Wise Sentences and Witty Sayings, Ancient and Modern, Foreign and British (1732), 237.
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When understanding of the universe has become widespread, when the majority of men know that the stars are not sources of light but worlds, perhaps inhabited worlds like ours, then the Christian doctrine will be convicted of absurdity.
In Adolf Hitler, Hugh Redwald Trevor-Roper, translated by Norman Cameron and R. H. Stevens, '14 October 1941', Secret Conversations (1941 - 1944) (1953), 50
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When we consider all that Hipparchus invented or perfected, and reflect upon the number of his works, and the mass of calculations which they imply, we must regard him as one of the most astonishing men of antiquity, and as the greatest of all in the sciences which are not purely speculative, and which require a combination of geometrical knowledge with a knowledge of phenomena, to be observed only by diligent attention and refined instruments.
In Histoire de l’Astronomie Ancienne (1817), Vol. 1, 186. As translated in George Cornewall Lewis, An Historical Survey of the Astronomy of the Ancients (1862), 214. From the original French: “Quand on réunit tout ce qu’il a inventé ou perfectionné, et qu’on songe au nombre de ses ouvrages, à la quantité de calculs qu’ils supposent, on trouve dans Hipparque un des hommes les plus étonnans de l’antiquité, et le plus grand de tous dans les sciences qui ne sont pas purement spéculatives, et qui demandent qu’aux connaissances géométriques on réunisse des connaissances de faits particuliers et de phénomènes dont l’observation exige beaucoup d'assiduité et des instrumens perfectionnés.”
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When we find facts within our knowledge exhibited by some new method, or even, it may be, described in a foreign language, they receive a peculiar charm of novelty and wear a fresh air.
In The Maxims and Reflections of Goethe (1906), 186.
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When we say that scientific knowledge is unlimited, we mean that there is no question whose answer is in principle unattainable by science.
The Logical Structure of the World, trans. R. George (1967), 290. In Vinoth Ramachandra, Subverting Global Myths: Theology and the Public Issues Shaping our World (2008), 171.
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When we survey our lives and endeavours we soon observe that almost the whole of our actions and desires are bound up with the existence of other human beings. We see that our whole nature resembles that of the social animals. We eat food that others have grown, wear clothes that others have made, live in houses that others have built. The greater part of our knowledge and beliefs has been communicated to us by other people through the medium of a language which others have created. Without language our mental capacities would be poor indeed, comparable to those of the higher animals; we have, therefore, to admit that we owe our principal advantage over the beasts to the fact of living in human society. The individual, if left alone from birth would remain primitive and beast-like in his thoughts and feelings to a degree that we can hardly conceive. The individual is what he is and has the significance that he has not so much in virtue of his individuality, but rather as a member of a great human society, which directs his material and spiritual existence from the cradle to the grave.
…...
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When you know a thing, to hold that you know it; and when you do not know a thing, to allow that you do not know it;—this is knowledge.
Confucius
In James Legge (trans.), 'The Confucian Analects', The Chinese Classics: Life and Teachings of Confucius (1861), Vol. 1, Book 2, Chap. 17, 15
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When, in an experiment, all known causes being allowed for, there remain certain unexplained effects (excessively slight it may be), these must be carefully investigated, and every conceivable variation of arrangement of apparatus, etc., tried ; until, if possible, we manage so to exaggerate the residual phenomenon as to be able to detect its cause. It is here, perhaps, that in the present state of science we may most reasonably look for extensions of our knowledge
In William Thomson and Peter Guthrie Tait, Treatise on Natural Philosophy (1867), Vol. 1, 306.
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Where is the wisdom we have lost in knowledge?
Where is the knowledge we have lost in information?
The Rock (1934), part 1.
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Where speculation ends—in real life—there real, positive science begins: the representation of the practical activity, of the practical process of development of men. Empty talk about consciousness ceases, and real knowledge has to take its place.
Karl Marx
In David McLellan (ed.), 'The Premisses of the Material Method', Karl Marx: Selected Writings (2000), 181.
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Where there is much to learn, there of necessity will be much arguing, much writing, many opinions; for opinion in good men is but knowledge in the making.
In Areopagitica: A speech of Mr John Milton for the Liberty of Unlicenced printing to the Parliament of England (23 Nov 1644), 31.
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Where there is no knowledge ignorance calls itself science.
In 'Maxims for Revolutionists: Stray Sayings', in Man and Superman (1903), 242.
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Where vanity is not gratified, or interest promoted, knowledge is generally neglected.
In The Statistical Breviary: Shewing, on a Principle Entirely New, the Resources of Every State and Kingdom in Europe (1801), 7.
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Whereas there is nothing more necessary for promoting the improvement of Philosophical Matters, than the communicating to such, as apply their Studies and Endeavours that way, such things as are discovered or put in practice by others; it is therefore thought fit to employ the Press, as the most proper way to gratifie those, whose engagement in such Studies, and delight in the advancement of Learning and profitable Discoveries, doth entitle them to the knowledge of what this Kingdom, or other parts of the World, do, from time to time, afford as well of the progress of the Studies, Labours, and attempts of the Curious and learned in things of this kind, as of their compleat Discoveries and performances: To the end, that such Productions being clearly and truly communicated, desires after solid and usefull knowledge may be further entertained, ingenious Endeavours and Undertakings cherished, and those, addicted to and conversant in such matters, may be invited and encouraged to search, try, and find out new things, impart their knowledge to one another, and contribute what they can to the Grand design of improving Natural knowledge, and perfecting all Philosophical Arts, and Sciences. All for the Glory of God, the Honour and Advantage of these Kingdoms, and the Universal Good of Mankind.
'Introduction', Philosophical Transactions (1665), 1, 1-2.
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Whereas what knowledge we derive from lectures, reading and conversation, is but the copy of other men’s men's ideas; that is, the picture of a picture; and ’tis one remove farther from the original.
In Interesting Anecdotes, Memoirs, Allegories, Essays, and Poetical Fragments (1793), Vols 3-4, Vol 4, 72-73.
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Whether science is seen as genie or devil, the attitude is wrong. We need to get some sort of perspective, so that people understand science is just one more intellectual tool, one more way of knowing enough things to give society a means of living on Earth.
From interview with Graham Chedd, 'The Lady Gets Her Way', New Scientist (5 Jul 1973), 59, No. 853, 16.
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While it is true that scientific results are entirely independent from religious and moral considerations, those individuals to whom we owe the great creative achievements of science were all of them imbued with the truly religious conviction that this universe of ours is something perfect and susceptible to the rational striving for knowledge. If this conviction had not been a strongly emotional one and if those searching for knowledge had not been inspired by Spinoza's Amor Dei Intellectualis, they would hardly have been capable of that untiring devotion which alone enables man to attain his greatest achievements.
In response to a greeting sent by the Liberal Ministers’ Club of New York City, published in 'Religion and Science: Irreconcilable?' The Christian Register (Jun 1948). Collected in Ideas and Options (1954), 52.
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While knowledge can create problems, it is not through ignorance that we can solve them.
In Asimov's New Guide to Science (1984), 15.
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While the dogmatist is harmful, the sceptic is useless …; one is certain of knowing, the other of not knowing. What philosophy should dissipate is certainty, whether of knowledge or of ignorance. Knowledge is not so precise a concept as is commonly thought. Instead of saying ‘I know this’, we ought to say ‘I more or less know something more or less like this’. … Knowledge in practical affairs has not the certainty or the precision of arithmetic.
From 'Philosophy For Laymen', collected in Unpopular Essays (1950, 1996), 38-39.
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Who gathers knowledge gathers pain.
Bible
In Ecclesiastes 1:18. A condensed version of the verse, “For in much wisdom is much grief and he that increaseth knowledge, increaseth sorrow.”
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Who is running the science and technology in a democracy if the people don’t know anything about it?
From transcript of interview on PBS TV show, Charlie Rose (27 May 1996). On Charlie Rose website.
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Who is unable to count one, two, three, or to distinguish odd from even numbers, or is unable to count at all, or reckon night and day, and who is totally unacquainted with the revolution of the Sun and Moon, and the other stars … All freemen, I conceive, should learn as much of these branches of knowledge as every child in Egypt is taught when he learns the alphabet. In that country arithmetical games have been invented for the use of mere children, which they learn as pleasure and amusement … I … have late in life heard with amazement of our ignorance in these matters; to me we appear to be more like pigs than men, and I am quite ashamed, not only of myself, but of all Greeks.
Plato
As translated by B. Jowett, in The Dialogues of Plato: Laws (1892), Vol. 5, 201-202. Quoted to compare scientific illiteracy in modern times and in Plato’s time, in Carl Sagan, 'The Most Precious Thing', The Demon-Haunted World (1996), 10.
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Who loves not knowledge? Who shall rail
Against her beauty? May she mix
With men and prosper! Who shall fix
Her pillars? Let her work prevail.
From In Memoriam (1850), Canto CXI, collected in The Poetic and Dramatic Works of Alfred, Lord Tennyson (1898), 192.
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Whoever is to acquire a competent knowledge of medicine, ought to be possessed of the following advantages: a natural disposition; instructionl a favorable place for the study; early tuition, love of labor; leisure.
The Genuine Works of Hippocrates, trans. Francis Adams (1886), Vol. 2, 284.
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Whoever undertakes to set himself up as a judge of Truth and knowledge is shipwrecked by the laughter of the gods.
In 'Aphorisms for Leo Baeck', Ideas and Opinions (1954), 28. German version, “Wer es untemimmt, auf dem Gebiete der Wahrheit und der Erkenntnis als Autorität, scheitert an dem Gelächter der Götter,” in Lewis Samuel Feuer, Einstein and the Generations of Science (1982), 105.
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Whoever wishes to acquire a deep acquaintance with Nature must observe that there are analogies which connect whole branches of science in a parallel manner, and enable us to infer of one class of phenomena what we know of another. It has thus happened on several occasions that the discovery of an unsuspected analogy between two branches of knowledge has been the starting point for a rapid course of discovery.
Principles of Science: A Treatise on Logic and Scientific Method (1874, 2nd ed., 1913), 631.
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Why does a man want to be a scientist? There are many goals: fame, position, a thirst for understanding. The first two can be attained without intellectual integrity; the third cannot. … The thirst for knowledge, what Thomas Huxley called the ‘Divine dipsomania’, can only be satisfied by complete intellectual integrity. It seems to me the only one of the three goals that continues to reward the pursuer. He presses on, “knowing that Nature never did betray the heart that loved her”. Here is another kind of love, that has so many faces. Love is neither passion, nor pride, nor pity, nor blind adoration, but it can be any or all of these if they are transfigured by deep and unbiased understanding.
In Cecilia Payne-Gaposchkin: An Autobiography and Other Recollections (1996), 123.
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Why should an hypothesis, suggested by a scientist, be accepted as true until its truth is established? Science should be the last to make such a demand because science to be truly science is classified knowledge; it is the explanation of facts. Tested by this definition, Darwinism is not science at all; it is guesses strung together.
In chapter, 'The Origin of Man', In His Image (1922), 94.
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Why we love science. It’s more than a school subject, or the periodic table, or the properties of waves. It is an approach to the world, a critical way to understand and explore and engage with the world, and then have the capacity to change that world, and to share this accumulated knowledge. It’s a mindset that says we that can use reason and logic and honest inquiry to reach new conclusions and solve big problems.
From remarks at the fifth White House Science Fair, in Press Release (23 Mar 2015).
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Why, then, are we surprised that comets, such a rare spectacle in the universe, are not known, when their return is at vast intervals?. … The time will come when diligent research over long periods will bring to light things which now lie hidden. A single lifetime, even though entirely devoted to the sky, would not be enough for the investigation of so vast a subject … And so this knowledge will be unfolded only through long successive ages. There will come a time when our descendants will be amazed that we did not know things that are so plain to them …. Many discoveries are reserved for ages still to come, when memory of us will have been effaced. Our universe is a sorry little affair unless it has in it something for every age to investigate … Nature does not reveal her mysteries once and for all. Someday there will be a man who will show in what regions comets have their orbit, why they travel so remote from other celestial bodies, how large they are and what sort they are.
Natural Questions, Book 7. As translated by Thomas H. Corcoran in Seneca in Ten Volumes: Naturales Quaestiones II (1972), 279 and 293.
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Widely dispersed knowledge concerning the important role of basic cooperative processes among living beings may lead to the acceptance of cooperation as a guiding principle both in social theory and as a basis for human behavior. Such a development when it occurs will alter the course of human history.
In Cooperation Among Animals with Human Implications: A Revised and Amplified Edition of The Social Life of Animals (1951), 213.
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Wisdom is knowing what to do next, skill is knowing how to do it, and virtue is doing it.
In 'American University Tendencies' (23 Mar 1903), Address at the Charter Day exercise to University of California, stenographic report in University Chronicle (1903), 6, 5.
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Wisdom is not knowledge, but lies in the use we make of knowledge.
In Helena Petrovna Blavatsky (ed.)The Theosophist (1986), 108, 95.
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Wisdom is the right use of knowledge.
In Hialmer Day Gould, New Practical Spelling (1905), 16.
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Wise men know when to speak his mind and when to mind his speech.
Anonymous
As stated in Ebrahim Kazim, Scientific Commentary of Suratul Faateḥah (2010).
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With a thousand joys I would accept a nonacademic job for which industriousness, accuracy, loyalty, and such are sufficient without specialized knowledge, and which would give a comfortable living and sufficient leisure, in order to sacrifice to my gods [mathematical research]. For example, I hope to get the editting of the census, the birth and death lists in local districts, not as a job, but for my pleasure and satisfaction...
Letter to Heinrich Olbers (26 Oct 1802). Quoted in G. Waldo Dunnington, Carl Friedrich Gauss: Titan of Science (2004), 415.
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With advancing years new impressions do not enter so rapidly, nor are they so hospitably received… There is a gradual diminution of the opportunities for age to acquire fresh knowledge. A tree grows old not by loss of the vitality of the cambium, but by the gradual increase of the wood, the non-vital tissue, which so easily falls a prey to decay.
From address, 'A Medical Retrospect'. Published in Yale Medical Journal (Oct 1910), 17, No. 2, 59. The context is that he is reflecting on how in later years of life, a person tends to give priority to long-learned experience, rather than give attention to new points of view.
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With crystals we are in a situation similar to an attempt to investigate an optical grating merely from the spectra it produces... But a knowledge of the positions and intensities of the spectra does not suffice for the determination of the structure. The phases with which the diffracted waves vibrate relative to one another enter in an essential way. To determine a crystal structure on the atomic scale, one must know the phase differences between the different interference spots on the photographic plate, and this task may certainly prove to be rather difficult.
Physikalische Zeitschrift (1913), 14. Translated in Walter Moore, Schrödinger. Life and Thought (1989), 73.
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With equal passion I have sought knowledge. I have wished to understand the hearts of men. I have wished to know why the stars shine. And I have tried to apprehend the Pythagorean power by which numbers holds sway above the flux. A little of this, but not much, I have achieved.
In 'Prologue: What I Have Lived For', The Autobiography of Bertrand Russell (1969). 3-4.
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With full responsibility for my words as a professional biologist, I do not hesitate to say that all existing and genuine knowledge about the way in which the physical characteristics of human communities are related to their cultural capabilities can be written on the back of a postage stamp.
Preface on Prejudices (1937), 9.
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With little more knowledge of what I was after than a cat has about catalysts … I set out to become a professional forester.
In Breaking New Ground (1947, 1998), 3.
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With reference to … dyspepsia, it is saddening to see the perpetuation of the term “functional” as shorthand for “I don’t know the nature of the problem.”
In Letters, British Medical Journal (9 Feb 2002), 324, No. 7333, 364.
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With the experience and knowledge gained on the moon, we will then be ready to take the next steps of space exploration: human missions to Mars and to worlds beyond.
Speech, NASA Headquarters (14 Jan 2004). In Office of the Federal Register (U.S.) Staff (eds.), Public Papers of the Presidents of the United States, George W. Bush (2007), 58.
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With the extension of mathematical knowledge will it not finally become impossible for the single investigator to embrace all departments of this knowledge? In answer let me point out how thoroughly it is ingrained in mathematical science that every real advance goes hand in hand with the invention of sharper tools and simpler methods which, at the same time, assist in understanding earlier theories and in casting aside some more complicated developments.
In 'Mathematical Problems', Lecture at the International Congress of Mathematics, Paris, (8 Aug 1900). Translated by Dr. Maby Winton Newson in Bulletin of the American Mathematical Society (1902), 8, 479. As quoted and cited in Robert Édouard Moritz, Memorabilia Mathematica; Or, The Philomath's Quotation-book (1914), 94-95. It is reprinted in Jeremy Gray, The Hilbert Challenge (2000), 282.
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With the growth of knowledge our ideas must from time to time be organised afresh. The change takes place usually in accordance with new maxims as they arise, but it always remains provisional.
In The Maxims and Reflections of Goethe (1906), 186.
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With the sole guidance of our practical knowledge of those physical agents which we see actually used in the continuous workings of nature, and of our knowledge of the respective effects induced by the same workings, we can with reasonable basis surmise what the forces were which acted even in the remotest times.
Quoted in Francesco Rodolico, 'Arduino', In Charles Coulston Gillispie (ed.), Dictionary of Scientific Biography (1970), Vol. 1, 234.
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With the tools and the knowledge, I could turn a developing snail's egg into an elephant. It is not so much a matter of chemicals because snails and elephants do not differ that much; it is a matter of timing the action of genes.
Quoted in Bruce Wallace, The Search for the Gene (1992), 176.
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Without an acquaintance with chemistry, the statesman must remain a stranger to the true vital interests of the state, to the means of its organic development and improvement; ... The highest economic or material interests of a country, the increased and more profitable production of food for man and animals, ... are most closely linked with the advancement and diffusion of the natural sciences, especially of chemistry.
Familiar Letters on Chemistry (1851), 3rd edn., 19.
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Without any doubt, the regularity which astronomy shows us in the movements of the comets takes place in all phenomena. The trajectory of a simple molecule of air or vapour is regulated in a manner as certain as that of the planetary orbits; the only difference between them is that which is contributed by our ignorance. Probability is relative in part to this ignorance, and in part to our knowledge.
Philosophical Essay on Probabilities (1814), 5th edition (1825), trans. Andrew I. Dale (1995), 3.
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Without initiation into the scientific spirit one is not in possession of the best tools humanity has so far devised for effectively directed reflection. [Without these one] fails to understand the full meaning of knowledge.
Democracy and Education: an Introduction to the Philosophy of Education (1916), 223.
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Without the suitable conditions life could not exist. But both life and its conditions set forth the operations of inscrutable Power. We know not its origin; we know not its end. And the presumption, if not the degradation, rests with those who place upon the throne of the universe a magnified image of themselves, and make its doings a mere colossal imitation of their own.
In Forms of Water in Clouds and Rivers, Ice and Glaciers (1872), 125.
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Wonder [admiratio astonishment, marvel] is a kind of desire for knowledge. The situation arises when one sees an effect and does not know its cause, or when the cause of the particular effect is one that exceeds his power of understanding. Hence, wonder is a cause of pleasure insofar as there is annexed the hope of attaining understanding of that which one wants to know. ... For desire is especially aroused by the awareness of ignorance, and consequently a man takes the greatest pleasure in those things which he discovers for himself or learns from the ground up.
From Summa Theologiae Question 32, 'The Causes of Pleasure,' Article 8, 'Is Pleasure Caused by Wondering.'(1a2ae 32.8). As translated in James Vincent Cunningham, Tragic Effect and Tragic Process in Some Plays of Shakespeare (1945). Also in The Collected Essays of J.V. Cunningham (1976), 72-73.
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Wonder [admiratio astonishment, marvel] is a kind of desire for knowledge. The situation arises when one sees an effect and does not know its cause, or when the cause of the particular effect is one that exceeds his power of understanding. Hence, wonder is a cause of pleasure insofar as there is annexed the hope of attaining understanding of that which one wants to know. ... For desire is especially aroused by the awareness of ignorance, and consequently a man takes the greatest pleasure in those things which he discovers for himself or learns from the ground up.
From Summa Theologiae Question 32, 'The Causes of Pleasure,' Article 8, 'Is Pleasure Caused by Wondering.'(1a2ae 32.8). As translated in James Vincent Cunningham, Tragic Effect and Tragic Process in Some Plays of Shakespeare (1945). Also in The Collected Essays of J.V. Cunningham (1976), 72-73.
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Wonder was the motive that led people to philosophy ... wonder is a kind of desire in knowledge. It is the cause of delight because it carries with it the hope of discovery.
In a summarized form, from Summa Theologiae (1266-73), I-II, Q.32.a.8.
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World views are social constructions and they channel the search for facts. But facts are found and knowledge progresses, however fitfully.
…...
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Worry affects circulation, the heart, the glands, the whole nervous system, and profoundly affects the heart. I have never known a man who died from overwork, but many who died from doubt.
Leonard Louis Levinson, Bartlett's Unfamiliar Quotations (1972). Cited in Bill Swainson, Encarta Book of Quotations (2000), 624.
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You can learn a lot about ice and still not understand water.
Transcribed from video of Four-Day Seminar (1992).
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You cannot do without one specialty. You must have some base-line to measure the work and attainments of others. For a general view of the subject, study the history of the sciences. Broad knowledge of all Nature has been the possession of no naturalist except Humboldt, and general relations constituted his specialty.
Lecture at a teaching laboratory on Penikese Island, Buzzard's Bay. Quoted from the lecture notes by David Starr Jordan, Science Sketches (1911), 146.
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You don’t know who he was? Half the particles in the universe obey him!
[Reply by a physics professor when a student asked who Bose was.]
Anonymous
Quoted in 'Original Vision, Forgotten Hero', The Calcutta Telegraph (3 Jan 2012)
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You don’t need an explanation for everything. Recognize that there are such things as miracles - events for which there are no ready explanations. Later knowledge may explain those events quite easily.
…...
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You know we’re constantly taking. We don’t make most of the food we eat, we don’t grow it, anyway. We wear clothes other people make, we speak a language other people developed, we use a mathematics other people evolved and spent their lives building. I mean we’re constantly taking things. It’s a wonderful ecstatic feeling to create something and put it into the pool of human experience and knowledge.
Expressing the driving force behind his passion. Interview with Rolling Stone writer, Steven Levy (late Nov 1983). As quoted in Nick Bilton, 'The 30-Year-Old Macintosh and a Lost Conversation With Steve Jobs' (24 Jan 2014), on New York Times blog web page. Levy appended a transcript of the interview to an updated Kindle version of his book, Insanely Great: The Life and Times of Macintosh, the Computer that Changed Everything.
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You may not divide the seamless coat of learning. What education has to impart is an intimate sense for the power of ideas, for the beauty of ideas, and for the structure of ideas, together with a particular body of knowledge which has peculiar reference to the life of the being possessing it.
In 'The Aims of Education', The Aims of Education and Other Essays (1929), 23.
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You may perceive something of the distinction which I think necessary to keep in view between art and science, between the artist and the man of knowledge, or the philosopher. The man of knowledge, the philosopher, is he who studies and acquires knowledge in order to improve his own mind; and with a desire of extending the department of knowledge to which he turns his attention, or to render it useful to the world, by discoveries, or by inventions, which may be the foundation of new arts, or of improvements in those already established. Excited by one or more of these motives, the philosopher employs himself in acquiring knowledge and in communicating it. The artist only executes and practises what the philosopher or man of invention has discovered or contrived, while the business of the trader is to retail the productions of the artist, exchange some of them for others, and transport them to distant places for that purpose.
From the first of a series of lectures on chemistry, collected in John Robison (ed.), Lectures on the Elements of Chemistry: Delivered in the University of Edinburgh (1807), Vol. 1, 3.
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You must not know too much, or be too precise or scientific about birds and trees and flowers and water-craft; a certain free margin, and even vagueless—perhaps ignorance, credulity—helps your enjoyment of these things.
Specimen Days in America (1887), 282.
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You seek for knowledge and wisdom as I once did; and I ardently hope that the gratification of your wishes may not be a serpent to sting you, as mine has been.
In Frankenstein: Or, The Modern Prometheus (1818, 1823), Vol. 1, 35.
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You sometimes speak of gravity as essential and inherent to matter. Pray do not ascribe that notion to me, for the cause of gravity is what I do not pretend to know, and therefore would take more time to consider of it.
Letter to Dr. Bentley (17 Jan 1692). In Four Letters from Sir Isaac Newton to Doctor Bentley (1756), 20.
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You who are scientists may have been told that you are, in part, responsible for the debacle of today … but I assure you that it is not the scientists … who are responsible. … Surely it is time for our republics … to use every knowledge, every science that we possess. … You and I … will act together to protect and defend by every means … our science, our culture, our American freedom and our civilization.
Address (10 May 1940) to American Scientific Congress in Washington. This was the day the Nazis invaded the Low Countries. As quoted in Robert Coughlan, 'Dr. Edward Teller’s Magnificent Obsession', Life (6 Sep 1954), 64.
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Your aim is no better than your knowledge of chemistry.
[On being shot at by a Polish student whom Werner had failed in an examination.]
In G. B. Kauffman, Alfred Werner (1966), 59.
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Your remarks upon chemical notation with the variety of systems which have arisen, &c., &c., had almost stirred me up to regret publicly that such hindrances to the progress of science should exist. I cannot help thinking it a most unfortunate thing that men who as experimentalists & philosophers are the most fitted to advance the general cause of science & knowledge should by promulgation of their own theoretical views under the form of nomenclature, notation, or scale, actually retard its progress.
Letter to William Whewell (21 Feb 1831). In Isaac Todhunter, William Whewell, An Account of his Writings (1876), Vol. 1., 307. Faraday may have been referring to a paper by Whewell published in the Journal of the Royal Institution of England (1831), 437-453.
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Carl Sagan Thumbnail In science it often happens that scientists say, 'You know that's a really good argument; my position is mistaken,' and then they would actually change their minds and you never hear that old view from them again. They really do it. It doesn't happen as often as it should, because scientists are human and change is sometimes painful. But it happens every day. I cannot recall the last time something like that happened in politics or religion. (1987) -- Carl Sagan
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- 90 -
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- 70 -
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- 40 -
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