Knowledge Quotes (1647 quotes)
Knoledge 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.
... 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.
… 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).
… 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.
… 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.
… 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).
...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.
...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)
…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.
...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
…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.
…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.
...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
‘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.
“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.
“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.
“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.
[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.
[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.
[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.
[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.
[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.
[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.
[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.
[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.
[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.
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.
[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.
[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.
[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.
[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.
[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),
[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.
[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.
[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.
[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.
[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.
[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.
[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.
[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.
![Samuel F. B. Morse quote: [It would not be long] ere the whole surface of this country would be channelled for those nerves whic](https://todayinsci.com/M/Morse_Samuel/MorseSamuel-Country500x250px.jpg)
[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.
[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.
[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.
[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.
[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.
[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 …”.
[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.
[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.
[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).
[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.
[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.
[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.
[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.
[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.
[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.
[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),
[The tools that Newton gave us] entered the marrow of what we know without knowing how we know it.
From Isaac Newton (2003), 188.
[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).
[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.
[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.
[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.
[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.
[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.
[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.
[Question: What do you think was the most important physics idea to emerge this year?]
We won't know for a few years.
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.
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.
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.
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 (thought): A little knowledge can be a ridiculous thing.
Dilbert comic strip (10 Sep 1992).
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.
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.
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.
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.
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.
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).
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.
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.
Felix, qui potuit rerum cognoscere causas.
Blessed is he who has been able to win knowledge of the causes of things.
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.
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.
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.
[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…”
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.
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.
Ipsa Scientia potestas est.
For also knowledge itself is power.
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.
La savoir a son prix.
Knowledge has its price.
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.
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.
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.
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.
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.”
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.
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.”
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.
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.
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.
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.
Non possunt oculi naturam noscere rerum
The eyes cannot know the nature of things.
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).
Ogni nostra cognitione prīcipia da sentimēti.
All our knowledge has its origin in our preceptions.
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.
On examinations: Das Wissen ist der Tad der Forschung.
Knowledge is the death of research.
Nernst's motto.
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.
Patience passe science
Patience surpasses knowledge.
Patience surpasses knowledge.
— Motto
Motto under Coat of Arms of Viscount Falmouth. In The Royal Kalendar (1813), 14.
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.
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.)
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.
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.)
Sapere aude.
Dare to be wise.
[Alternate: Dare to know.]
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.
Science sans conscience n’est que le ruine de l’âme.
Knowledge without conscience is but the ruine of the soule.
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
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.
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…”.
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.
Wir mussen wissen. Wir werden wissen.
We must know. We will know.
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.
~~[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.
~~[Attributed]~~ Prudens quaestio dimidium scientiae.
Half of science is asking the right questions.
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.]
~~[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.
~~[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.
~~[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.”
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.
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.
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.
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.
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.
“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.
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.
A good teacher must know the rules; a good pupil, the exceptions.
Martin H. Fischer, Howard Fabing (ed.) and Ray Marr (ed.), Fischerisms (1944).
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.
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.
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.
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
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.)
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?
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.
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.
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.
A little knowledge is dangerous. So is a lot.
…...
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.
A love affair with knowledge will never end in heartbreak.
…...
A Man of Knowledge like a rich Soil, feeds
If not a world of Corn, a world of Weeds.
If not a world of Corn, a world of Weeds.
In Poor Richard's Almanack (1739).
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.
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.
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.
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.
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]
[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.
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.
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.
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.
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.
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).
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).
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
Activity is the only road to knowledge.
In 'Maxims for Revolutionists: Education', in Man and Superman (1905), 230.
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.
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.
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.
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.
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).
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.
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.
…...
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.
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.
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.
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.
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.
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.
All men by nature desire knowledge.
…...
All men by nature desire to know.
Metaphysics, 980a, 21. In Jonathan Barnes (ed.), The Complete Works of Aristotle (1984), Vol. 2, 1552.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
All that science can achieve is a perfect knowledge and a perfect understanding of the action of natural and moral forces.
…...
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.
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.
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.
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.
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.
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.
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).
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
And still they gazed and still the wonder grew,
That one small head could carry all he knew.
That one small head could carry all he knew.
The Deserted Village: A Poem (1809), 11.
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.
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.
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).
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.
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.
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.
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).
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.
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.
Any ignorance is blank ignorance, because knowledge of any factor requires no ignorance.
'The Relatedness of Nature', The Principle of Relativity (1922, 2007), 22.
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.
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.
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.
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.
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.
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.
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.
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.
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.
In De Architectura, Book 1, Chap 1, Sec. 2. As translated in Morris Hicky Morgan (trans.), Vitruvius: The Ten Books on Architecture (1914), 3.
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.”
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.
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.
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).
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.
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.
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.
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.
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.
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.
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.
As our circle of knowledge expands, so does the circumference of darkness surrounding it.
…...
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.
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.
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.
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).
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.
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.
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.
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.
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.
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.
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.
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.
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)
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.
Metaphysics, 981b, 13-20. In Jonathan Barnes (ed.), The Complete Works of Aristotle (1984), Vol. 2, 1553.
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.
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.
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.
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.
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.
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.
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).
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.
…...
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.
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.
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.
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.
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.
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.
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.
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.
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.]
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.
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.
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.
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.
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.
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).
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.
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.
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.
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.
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.
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.
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.
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
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.
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.
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.
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.
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.
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.
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.
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.
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).
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.
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.
Certainty is the most vivid condition of ignorance and the most necessary condition for knowledge.
Quotations: Superultramodern Science and Philosophy (2005), 2
Chance favours only those who know how to court her.
Epigraph in The Art of Scientific Investigation (1957), 27.
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.”