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Today in Science History - Quickie Quiz
Who said: “The path towards sustainable energy sources will be long and sometimes difficult. But America cannot resist this transition, we must lead it... That is how we will preserve our planet, commanded to our care by God. That’s what will lend meaning to the creed our fathers once declared.”
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Home > Category Index for Science Quotations > Category Index B > Category: Beyond

Beyond Quotes (65 quotes)

230(231-1) ... is the greatest perfect number known at present, and probably the greatest that ever will be discovered; for; as they are merely curious without being useful, it is not likely that any person will attempt to find a number beyond it.
In An Elementary Investigation of the Theory of Numbers (1811), 43. The stated number, which evaluates as 2305843008139952128 was discovered by Euler in 1772 as the eighth known perfect number. It has 19 digits. By 2013, the 48th perfect number found had 34850340 digits.
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Every teacher certainly should know something of non-euclidean geometry. Thus, it forms one of the few parts of mathematics which, at least in scattered catch-words, is talked about in wide circles, so that any teacher may be asked about it at any moment. ... Imagine a teacher of physics who is unable to say anything about Röntgen rays, or about radium. A teacher of mathematics who could give no answer to questions about non-euclidean geometry would not make a better impression.
On the other hand, I should like to advise emphatically against bringing non-euclidean into regular school instruction (i.e., beyond occasional suggestions, upon inquiry by interested pupils), as enthusiasts are always recommending. Let us be satisfied if the preceding advice is followed and if the pupils learn to really understand euclidean geometry. After all, it is in order for the teacher to know a little more than the average pupil.
In George Edward Martin, The Foundations of Geometry and the Non-Euclidean Plane (1982), 72.
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Ita est … rerum natura, post omnia oceanus, post oceanum nihil.
Thus is nature, Beyond all things is the ocean, beyond the ocean nothing.
In Suasoriarum, collected in L. Annaei Senecae (1557), Vol. 4, 620. As translated in Fridtjof Nansen, In Northern Mists: Arctic Exploration in Early Times (1911), Vol. 1, 84.
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A world of facts lies outside and beyond the world of words.
From After-Dinner Speech (Apr 1869) delivered before the Liverpool Philomathic Society, 'Scientific Education', collected in Lay Sermons, Addresses, and Reviews (1870), 63. Previously published in Macmillan’s Magazine.
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All progress is based upon a universal innate desire of every organism to live beyond its means.
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At the present time there exist problems beyond our ability to solve, not because of theoretical difficulties, but because of insufficient means of mechanical computation.
In 'Proposed Automatic Calculating Machine' (1937). As quoted in I. Bernard Cohen, Gregory W. Welch (eds.), Makin' Numbers: Howard Aiken and the Computer (1999), 13.
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But if we are to control evolution we shall have to find out how to influence gene reproduction in a definite direction, just as organic chemists nowadays work for definite ends. Such a possibility is at present entirely beyond our grasp, but a century hence it may not be so.
In 'The Biochemistry of the Individual' (1937), collected in Neurath Hans (ed.), Perspectives in Biochemistry (1989), 6.
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But the nature of our civilized minds is so detached from the senses, even in the vulgar, by abstractions corresponding to all the abstract terms our languages abound in, and so refined by the art of writing, and as it were spiritualized by the use of numbers, because even the vulgar know how to count and reckon, that it is naturally beyond our power to form the vast image of this mistress called ‘Sympathetic Nature.’
The New Science, bk. 2, para. 378 (1744, trans. 1984).
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But when science, passing beyond its own limits, assumes to take the place of theology, and sets up its own conception of the order of nature as a sufficient account of its cause, it is invading a province of thought to which it has no claim, and not unreasonably provokes the hostility of its best friends.
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Computers are incredibly fast, accurate and stupid. Human beings are incredibly slow, inaccurate and brilliant. Together they are powerful beyond imagination.
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Does the harmony the human intelligence thinks it discovers in nature exist outside of this intelligence? No, beyond doubt, a reality completely independent of the mind which conceives it, sees or feels it, is an impossibility.
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Each human life is unique, born of a miracle that reaches beyond laboratory science.
Quoted in Kim Lim (ed.), 1,001 Pearls of Spiritual Wisdom: Words to Enrich, Inspire, and Guide Your Life (2014), 42
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Extrasensory perception is a scientifically inept term. By suggesting that forms of human perception exist beyond the senses, it prejudges the question.
In Margaret Mead and Rhoda Bubendey Métraux (ed.), Margaret Mead, Some Personal Views (1979), 220.
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Faith is a knowledge within the heart, beyond the reach of proof.
In The Kahlil Gibran Reader: Inspirational Writings (2006), 38.
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FORTRAN —’the infantile disorder’—, by now nearly 20 years old, is hopelessly inadequate for whatever computer application you have in mind today: it is now too clumsy, too risky, and too expensive to use. PL/I —’the fatal disease’— belongs more to the problem set than to the solution set. It is practically impossible to teach good programming to students that have had a prior exposure to BASIC: as potential programmers they are mentally mutilated beyond hope of regeneration. The use of COBOL cripples the mind; its teaching should, therefore, be regarded as a criminal offence. APL is a mistake, carried through to perfection. It is the language of the future for the programming techniques of the past: it creates a new generation of coding bums.
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God does not die on the day when we cease to believe in a personal deity, but we die on the day when our lives cease to be illumined by the steady radiance, renewed daily, of a wonder, the source of which is beyond all reason.
Quoted in Kim Lim (ed.), 1,001 Pearls of Spiritual Wisdom: Words to Enrich, Inspire, and Guide Your Life (2014), 11
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I am not unmindful of the journalist’s quip that yesterday’s paper wraps today’s garbage. I am also not unmindful of the outrages visited upon our forests to publish redundant and incoherent collections of essays; for, like Dr. Seuss’ Lorax, I like to think that I speak for the trees. Beyond vanity, my only excuses for a collection of these essays lie in the observation that many people like (and as many people despise) them, and that they seem to cohere about a common theme–Darwin’s evolutionary perspective as an antidote to our cosmic arrogance.
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I ask any one who has adopted the calling of an engineer, how much time he lost when he left school, because he had to devote himself to pursuits which were absolutely novel and strange, and of which he had not obtained the remotest conception from his instructors? He had to familiarize himself with ideas of the course and powers of Nature, to which his attention had never been directed during his school-life, and to learn, for the first time, that a world of facts lies outside and beyond the world of words.
From After-Dinner Speech (Apr 1869) delivered before the Liverpool Philomathic Society, 'Scientific Education', collected in Lay Sermons, Addresses, and Reviews (1870), 63. Previously published in Macmillan’s Magazine.
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I cannot conceive of a God who rewards and punishes his creatures, or has a will of the type of which we are conscious in ourselves. An individual who should survive his physical death is also beyond my comprehension, nor do I wish it otherwise; such notions are for the fears or absurd egoism of feeble souls.
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I like the scientific spirit—the holding off, the being sure but not too sure, the willingness to surrender ideas when the evidence is against them: this is ultimately fine—it always keeps the way beyond open.
In Horace Traubel, With Walt Whitman in Camden (1906), Vol. 1, 101.
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If I choose to impose individual blame for all past social ills, there will be no one left to like in some of the most fascinating periods of our history. For example ... if I place every Victorian anti-Semite beyond the pale of my attention, my compass of available music and literature will be pitifully small. Though I hold no shred of sympathy for active persecution, I cannot excoriate individuals who acquiesced passively in a standard societal judgment. Rail instead against the judgment, and try to understand what motivates men of decent will.
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In the beginning (if there was such a thing), God created Newton’s laws of motion together with the necessary masses and forces. This is all; everything beyond this follows from the development of appropriate mathematical methods by means of deduction.
Autobiographical Notes (1946), 19. In Albert Einstein, Alice Calaprice, Freeman Dyson , The Ultimate Quotable Einstein (2011), 397.
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In the following pages I offer nothing more than simple facts, plain arguments, and common sense; and have no other preliminaries to settle with the reader, than that he will divest himself of prejudice and repossession, and suffer his reason and feelings to determine for themselves; and that he will put on, or rather that he will not put off, the true character of man, and generously enlarge his view beyond the present day.
In Common Sense: Addressed to the Inhabitants of America (1792), 15.
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In the nature of life and in the principles of evolution we have had our answer. Of men elsewhere, and beyond, there will be none, forever.
In 'Little Men and Flying Sources', The Immense Journey (1957), 162.
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It is a remarkable fact that the second law of thermodynamics has played in the history of science a fundamental role far beyond its original scope. Suffice it to mention Boltzmann’s work on kinetic theory, Planck’s discovery of quantum theory or Einstein’s theory of spontaneous emission, which were all based on the second law of thermodynamics.
From Nobel lecture, 'Time, Structure and Fluctuations', in Tore Frängsmyr and Sture Forsén (eds.), Nobel Lectures, Chemistry 1971-1980, (1993), 263.
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It is no way derogatory to Newton, or Kepler, or Galileo, that Science in these days should have advanced far beyond them. Rather is this itself their crown of glory. Their works are still bearing fruit, and will continue to do so. The truths which they discovered are still living in our knowledge, pregnant with infinite consequences.
Co-author with his brother Augustus William Hare Guesses At Truth, By Two Brothers: Second Edition: With Large Additions (1848), Second Series, 251. (The volume is introduced as “more than three fourths new.” This quote is identified as by Julius; Augustus had died in 1833.)
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It’s that moment, that brief epiphany when the universe opens up and shows us something, and in that instant we get just a sense of an order greater than Heaven and, as yet at least, beyond the grasp of Stephen Hawking.
Quoted in Kim Lim (ed.), 1,001 Pearls of Spiritual Wisdom: Words to Enrich, Inspire, and Guide Your Life (2014), 109
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Knowledge once gained casts a faint light beyond its own immediate boundaries. There is no discovery so limited as not to illuminate something beyond itself.
In 'On the Methods and Tendencies of Physical Investigation', Scientific Addresses (1870), 7.
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Let him look at that dazzling light hung aloft as an eternal lamp to lighten the universe; let him behold the earth, a mere dot compared with the vast circuit which that orb describes, and stand amazed to find that the vast circuit itself is but a very fine point compared with the orbit traced by the stars as they roll their course on high. But if our vision halts there, let imagination pass beyond; it will fail to form a conception long before Nature fails to supply material. The whole visible world is but an imperceptible speck in the ample bosom of Nature. No notion comes near it. Though we may extend our thought beyond imaginable space, yet compared with reality we bring to birth mere atoms. Nature is an infinite sphere whereof the centre is everywhere, the circumference nowhere. In short, imagination is brought to silence at the thought, and that is the most perceptible sign of the all-power of God.
Let man reawake and consider what he is compared with the reality of things; regard himself lost in this remote corner of Nature; and from the tiny cell where he lodges, to wit the Universe, weigh at their true worth earth, kingdoms, towns, himself. What is a man face to face with infinity?
Pensées (1670), Section 1, aphorism 43. In H. F. Stewart (ed.), Pascal's Pensées (1950), 19.
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Life is not the object of Science: we see a little, very little; And what is beyond we can only conjecture.
In Samuel Johnson and William P. Page (ed.), 'Causes Which Produce Diversity of Opinion', The Life and Writings of Samuel Johnson (1840), Vol. 2, 244.
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Man cannot afford to be a naturalist, to look at Nature directly, but only with the side of his eye. He must look through and beyond her, to look at her is fatal as to look at the head of Medusa. It turns the man of science to stone. I feel that I am dissipated by so many observations. I should be the magnet in the midst of all this dust and filings.
From Journal entry (23 Mar 1953), in Henry David Thoreau and Bradford Torrey (ed.), Journal (1906), Vol. 5, 45.
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Man is uncanny, yet nothing
uncannier than man bestirs itself, rising up beyond him.
Sophocles
First line of a choral ode in Antigone, line 332, as translated from a French translation. One of several variations given in Bernard Stiegler, Technics and Time, 3, (2010), 237.
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Man, the cutting edge of terrestrial life, has no rational alternative but to expand the environmental and resource base beyond earth.
On the 'extraterrestrial imperative,' recalled on his death 11 Dec 84
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Mathematics is often erroneously referred to as the science of common sense. Actually, it may transcend common sense and go beyond either imagination or intuition. It has become a very strange and perhaps frightening subject from the ordinary point of view, but anyone who penetrates into it will find a veritable fairyland, a fairyland which is strange, but makes sense, if not common sense. [Coauthor with James R. Newman]
In Edward Kasner and James Newman, Mathematics and the Imagination (1940, 1949), 359.
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Nearly anyone in this line of work would take a bullet for the last pregnant dodo. But should we not admire the person who, when faced with an overwhelmingly sad reality beyond and personal blame or control, strives valiantly to rescue what ever can be salvaged, rather than retreating to the nearest corner to weep or assign fault?
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Once we have judged a thing a work of art, we have judged it ethically of the first importance and put it beyond the reach of the moralist.
In Art (1913), 20.
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Perhaps a species that has accumulated ... tons of explosive per capita has already demonstrated its biological unfitness beyond any further question.
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Piecemeal social engineering resembles physical engineering in regarding the ends as beyond the province of technology. (All that technology may say about ends is whether or not they are compatible with each other or realizable.)
In The Poverty of Historicism (1960), 64.
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Publication has been extended far beyond our present ability to make real use of the record.
From article 'As We May Think', in Atlantic Magazine (Jul 1945). Bush was expressing concern that the vastly increasing body of research information and knowledge needed mechanical systems to store and effectively manage its retrieval.
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Science is often regarded as the most objective and truth-directed of human enterprises, and since direct observation is supposed to be the favored route to factuality, many people equate respectable science with visual scrutiny–just the facts ma’am, and palpably before my eyes. But science is a battery of observational and inferential methods, all directed to the testing of propositions that can, in principle, be definitely proven false ... At all scales, from smallest to largest, quickest to slowest, many well-documented conclusions of science lie beyond the strictly limited domain of direct observation. No one has ever seen an electron or a black hole, the events of a picosecond or a geological eon.
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Science, in the immediate, produces knowledge and, indirectly, means of action. It leads to methodical action if definite goals are set up in advance. For the function of setting up goals and passing statements of value transcends its domain. While it is true that science, to the extent of its grasp of causative connections, may reach important conclusions as to the compatibility and incompatibility of goals and evaluations, the independent and fundamental definitions regarding goals and values remain beyond science’s reach.
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Since the Universe is defined as including all that exists, it is useless to ask what lies beyond it.
Epigraph in Isaac Asimov’s Book of Science and Nature Quotations (1988), 328.
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Some things mankind can finish and be done with, but not ... science, that persists, and changes from ancient Chaldeans studying the stars to a new telescope with a 200-inch reflector and beyond; not religion, that persists, and changes from old credulities and world views to new thoughts of God and larger apprehensions of his meaning.
In 'What Keeps Religion Going?', collected in Living Under Tension: Sermons On Christianity Today (1941), 51-52.
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The Arctic has a call that is compelling. The distant mountains [of the Brooks Range in Alaska] make one want to go on and on over the next ridge and over the one beyond. The call is that of a wilderness known only to a few…. This last American wilderness must remain sacrosanct.
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The fact that Science walks forward on two feet, namely theory and experiment, is nowhere better illustrated than in the two fields for slight contributions to which you have done me the great honour of awarding the the Nobel Prize in Physics for the year 1923. Sometimes it is one foot that is put forward first, sometimes the other, but continuous progress is only made by the use of both—by theorizing and then testing, or by finding new relations in the process of experimenting and then bringing the theoretical foot up and pushing it on beyond, and so on in unending alterations.
'The Electron and the Light-quant from the Experimental Point of View', Nobel Lecture (23 May 1924). In Nobel Lectures: Physics 1922-1941 (1998), 54.
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The great question. … is, shall we surrender to our surroundings, or shall we make our peace with nature and begin to make reparations for the damage we have done to our air, our land, our water? Restoring nature to its natural state is a cause beyond party and beyond factions. It has become a common cause of all the people of America.
State of the Union Address (22 Jan 1970).
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The mind of man may be compared to a musical instrument with a certain range of notes, beyond which in both directions we have an infinitude of silence. The phenomena of matter and force lie within our intellectual range, and as far as they reach we will at all hazards push our inquiries. But behind, and above, and around all, the real mystery of this universe [Who made it all?] lies unsolved, and, as far as we are concerned, is incapable of solution.
In 'Matter and Force', Fragments of Science for Unscientific People (1871), 93.
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The wintry clouds drop spangles on the mountains. If the thing occurred once in a century historians would chronicle and poets would sing of the event; but Nature, prodigal of beauty, rains down her hexagonal ice-stars year by year, forming layers yards in thickness. The summer sun thaws and partially consolidates the mass. Each winter's fall is covered by that of the ensuing one, and thus the snow layer of each year has to sustain an annually augmented weight. It is more and more compacted by the pressure, and ends by being converted into the ice of a true glacier, which stretches its frozen tongue far down beyond the limits of perpetual snow. The glaciers move, and through valleys they move like rivers.
The Glaciers of the Alps & Mountaineering in 1861 (1911), 247.
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The world is full of signals that we don’t perceive. Tiny creatures live in a different world of unfamiliar forces. Many animals of our scale greatly exceed our range of perception for sensations familiar to us ... What an imperceptive lot we are. Surrounded by so much, so fascinating and so real, that we do not see (hear, smell, touch, taste) in nature, yet so gullible and so seduced by claims for novel power that we mistake the tricks of mediocre magicians for glimpses of a psychic world beyond our ken. The paranormal may be a fantasy; it is certainly a haven for charlatans. But ‘parahuman’ powers of perception lie all about us in birds, bees, and bacteria.
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There are only two kinds of math books. Those you cannot read beyond the first sentence, and those you cannot read beyond the first page.
Attributed, but without reference. For example, in John Mitchinson, John Lloyd, If Ignorance Is Bliss, Why Aren't There More Happy People? (2009), 31. If you know the primary source, please contact Webmaster.
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There are two things of which a man cannot be careful enough: of obstinacy if he confines himself to his own line of thought; of incompetency, if he goes beyond it.
In The Maxims and Reflections of Goethe (1906), 200.
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There is inherent in nature a hidden harmony that reflects itself in our minds under the image of simple mathematical laws. That then is the reason why events in nature are predictable by a combination of observation and mathematical analysis. Again and again in the history of physics this conviction, or should I say this dream, of harmony in nature has found fulfillments beyond our expectations.
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There is neither religion nor science beyond beauty.
In Kahlil Gibran: The Collected Works (207), 206.
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There is no area in our minds reserved for superstition, such as the Greeks had in their mythology; and superstition, under cover of an abstract vocabulary, has revenged itself by invading the entire realm of thought. Our science is like a store filled with the most subtle intellectual devices for solving the most complex problems, and yet we are almost incapable of applying the elementary principles of rational thought. In every sphere, we seem to have lost the very elements of intelligence: the ideas of limit, measure, degree, proportion, relation, comparison, contingency, interdependence, interrelation of means and ends. To keep to the social level, our political universe is peopled exclusively by myths and monsters; all it contains is absolutes and abstract entities. This is illustrated by all the words of our political and social vocabulary: nation, security, capitalism, communism, fascism, order, authority, property, democracy. We never use them in phrases such as: There is democracy to the extent that... or: There is capitalism in so far as... The use of expressions like “to the extent that” is beyond our intellectual capacity. Each of these words seems to represent for us an absolute reality, unaffected by conditions, or an absolute objective, independent of methods of action, or an absolute evil; and at the same time we make all these words mean, successively or simultaneously, anything whatsoever. Our lives are lived, in actual fact, among changing, varying realities, subject to the casual play of external necessities, and modifying themselves according to specific conditions within specific limits; and yet we act and strive and sacrifice ourselves and others by reference to fixed and isolated abstractions which cannot possibly be related either to one another or to any concrete facts. In this so-called age of technicians, the only battles we know how to fight are battles against windmills. [p.222]
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There is plenty of room left for exact experiment in art, and the gate has been opened for some time. What had been accomplished in music by the end of the eighteenth century has only begun in the fine arts. Mathematics and physics have given us a clue in the form of rules to be strictly observed or departed from, as the case may be. Here salutary discipline is come to grips first of all with the function of forms, and not with form as the final result … in this way we learn how to look beyond the surface and get to the root of things.
Paul Klee
Quoted in The Bulletin of the Atomic Scientists (Feb 1959), 59, citing Bauhaus-Zeitschrijt (1928).
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There must be vistas flying out beyond, that promise more than present conditions yield.
Quoted, without citation, in front matter to T. A. Edison Foundation, Lewis Howard Latimer: A Black Inventor: a Biography and Related Experiments You Can Do (1973). If you know the primary source, please contact Webmaster.
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There remains something subtle, intangible and inexplicable. Veneration for this force beyond anything that we can comprehend is my religion.
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Throughout all of human history, we have taken, taken, taken, from the natural world. All creatures, however large or small, do this as a way of making a living. Humans, though, have gone way beyond what elephants have done to the planet or what birds or what any fish in the sea is capable of doing.
In interview with Pierce Nahigyan, 'Dr. Sylvia Earle: “We’re Literally Destroying The Systems That Keep Us Alive”', Huffington Post (6 Jan 2016).
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Try and penetrate with our limited means the secrets of nature and you will find that, behind all the discernible concatenations, there remains something subtle, intangible and inexplicable. Veneration for this force beyond anything that we can comprehend is my religion. To that extent I am, in point of fact, religious.
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We are in a position similar to that of a mountaineer who is wandering over uncharted spaces, and never knows whether behind the peak which he sees in front of him and which he tries to scale there may not be another peak still beyond and higher up.
In Where is Science Going? (1932), 200.
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We want them to use the education to be leaders in their community with an understanding of ecology and conservation for the wild outdoors far beyond their legislators back home. We expect these people to he a grain of sand on the beach of future leadership.
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What does it mean for a civilisation to be a million years old? We have had radio telescopes and spaceships for a few decades; our technical civilisation is a few hundred years old … an advanced civilisation millions of years old is as much beyond us as we are beyond a bushbaby or a macaque
'Star Makers', Cosmos (Feb 2006).
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What we do may be small, but it has a certain character of permanence and to have produced anything of the slightest permanent interest, whether it be a copy of verses or a geometrical theorem, is to have done something utterly beyond the powers of the vast majority of men.
From Inaugural Lecture, Oxford (1920). Recalled in A Mathematician’s Apology (1940, 1967), 76.
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When a man sees a phenomenon before him, his thoughts often range beyond it; when he hears it only talked about, he has no thoughts at all.
In The Maxims and Reflections of Goethe (1906), 188.
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You’re aware the boy failed my grade school math class, I take it? And not that many years later he’s teaching college. Now I ask you: Is that the sorriest indictment of the American educational system you ever heard? [pauses to light cigarette.] No aptitude at all for long division, but never mind. It’s him they ask to split the atom. How he talked his way into the Nobel prize is beyond me. But then, I suppose it’s like the man says, it’s not what you know...
Karl Arbeiter (former teacher of Albert Einstein)
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Carl Sagan Thumbnail In science it often happens that scientists say, 'You know that's a really good argument; my position is mistaken,' and then they would actually change their minds and you never hear that old view from them again. They really do it. It doesn't happen as often as it should, because scientists are human and change is sometimes painful. But it happens every day. I cannot recall the last time something like that happened in politics or religion. (1987) -- Carl Sagan
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- 90 -
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- 70 -
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- 40 -
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