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Hobbes, Thomas To understand this for sense it is not required that a man should be a geometrician or a logician, but that he should be mad. [‘This’ is that the volume generated by revolving the region under 1/x from 1 to infinity has finite volume.] In N. Rose Mathematical Maxims and Minims, Raleigh NC: Rome Press Inc., 1988.
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Holmes, Oliver Wendell Certitude is not the test of certainty. We have been cocksure of many things that are not so. In G. Simmons Calculus Gems, New York: McGraw Hill Inc., 1992.
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Holmes, Oliver Wendell Descartes commanded the future from his study more than Napoleon from the throne. In G. Simmons Calculus Gems, New York: McGraw Hill Inc., 1992.
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Holmes, Oliver Wendell I was just going to say, when I was interrupted, that one of the many ways of classifying minds is under the heads of arithmetical and algebraical intellects. All economical and practical wisdom is an extension of the following arithmetical formula: 2 + 2 = 4. Every philosophical proposition has the more general character of the expression a + b = c. We are mere operatives, empirics, and egotists until we learn to think in letters instead of figures. The Autocrat of the Breakfast Table.
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Holt, M. and Marjoram, D. T. E. The truth of the matter is that, though mathematics truth may be beauty, it can be only glimpsed after much hard thinking. Mathematics is difficult for many human minds to grasp because of its hierarchical structure: one thing builds on another and depends on it. Mathematics in a Changing World Walker, New York 1973.
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How many times can you subtract 7 from 83, and what is left afterwards? You can subtract it as many times as you want, and it leaves 76 every time. ~Author Unknown
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Hughes, Richard Science, being human enquiry, can hear no answer except an answer couched somehow in human tones. Primitive man stood in the mountains and shouted against a cliff; the echo brought back his own voice, and he believed in a disembodied spirit. The scientist of today stands counting out loud in the face of the unknown. Numbers come back to him – and he believes in the Great Mathematician. In J. R. Newman (ed.) The World of Mathematics, New York: Simon and Schuster, 1956.
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Hume, David (1711 – 1776) If we take in our hand any volume; of divinity or school metaphysics, for instance; let us ask, `Does it contain any abstract reasoning concerning quantity or number?’ No. `Does it contain any experimental reasoning concerning matter of fact and existence?’ No. Commit it then to the flames: for it can contain nothing but sophistry and illusion. Treatise Concerning Human Understanding.
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Huxley, Aldous …[he] was as much enchanted by the rudiments of algebra as he would have been if I had given him an engine worked by steam, with a methylated spirit lamp to heat the boiler; more enchanted, perhapsfor the engine would have got broken, and, remaining always itself, would in any case have lost its charm, while the rudiments of algebra continued to grow and blossom in his mind with an unfailing luxuriance. Every day he made the discovery of something which seemed to him exquisitely beautiful; the new toy was inexhaustible in its potentialities. Young Archimedes.
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Huxley, Aldous I admit that mathematical science is a good thing. But excessive devotion to it is a bad thing. Interview with J. W. N. Sullivan, Contemporary Mind, London, 1934.
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Huxley, Aldous If we evolved a race of Isaac Newtons, that would not be progress. For the price Newton had to pay for being a supreme intellect was that he was incapable of friendship, love, fatherhood, and many other desirable things. As a man he was a failure; as a monster he was superb. Interview with J. W. N. Sullivan, Contemporary Mind, London, 1934.
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Huxley, Thomas Henry (1825-1895) This seems to be one of the many cases in which the admitted accuracy of mathematical processes is allowed to throw a wholly inadmissible appearance of authority over the results obtained by them. Mathematics may be compared to a mill of exquisite workmanship, which grinds your stuff of any degree of fineness; but, nevertheless, what you get out depends on what you put in; and as the grandest mill in the world will not extract wheat flour from peascods, so pages of formulae will not get a definite result out of loose data. Quarterly Journal of the Geological Society, 25,1869.
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I advise my students to listen carefully the moment they decide to take no more mathematics courses. They might be able to hear the sound of closing doors. Everybody a mathematician?,CAIP Quarterly 2 (Fall, 1989).
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I do not teach, I relate.- Montaigne
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I don’t agree with mathematics; the sum total of zeros is a frightening figure.- Stanislaw J. Lec
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Ibn Khaldun (1332-1406) Geometry enlightens the intellect and sets one’s mind right. All of its proofs are very clear and orderly. It is hardly possible for errors to enter into geometrical reasoning, because it is well arranged and orderly. Thus, the mind that constantly applies itself to geometry is not likely to fall into error. In this convenient way, the person who knows geometry acquires intelligence. The Muqaddimah. An Introduction to History.
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If I have seen farther than other men, it is because I have stood on the shoulders of giants.- Isaac Newton
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If there is a God, he’s a great mathematician.- Paul Dirac
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If you think dogs can’t count, try putting three dog biscuits in your pocket and then giving Fido only two of them.- Phil Pastoret
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In mathematics you dont understand things. You just get used to them.- Anonymous
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