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Pasteur, Louis Chance favors only the prepared mind. In H. Eves Return to Mathematical Circles, Boston: Prindle, Weber and Schmidt, 1988.
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Pedersen, Jean Geometry is a skill of the eyes and the hands as well as of the mind.
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Peirce, Benjamin (1809-1880) Mathematics is the science which draws necessary conclusions. Memoir read before the National Academy of Sciences in Washington, 1870.
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Peirce, Charles Sanders (1839-1914) The one [the logician] studies the science of drawing conclusions, the other [the mathematician] the science which draws necessary conclusions. ‘The Essence of Mathematics’ in J. R. Newman (ed.) The World of Mathematics, New York: Simon and Schuster, 1956.
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People who don’t count won’t count.- Anatole France
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Plato (ca 429-347 BC) He who can properly define and divide is to be considered a god.
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Plato (ca 429-347 BC) I have hardly ever known a mathematician who was capable of reasoning. In N. Rose Mathematical Maxims and Minims, Raleigh NC:Rome Press Inc., 1988.
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Plato (ca 429-347 BC) Mathematics is like checkers in being suitable for the young, not too difficult, amusing, and without peril to the state.
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Plato (ca 429-347 BC) There still remain three studies suitable for free man. Arithmetic is one of them. In J. R. Newman (ed.) The World of Mathematics, New York: Simon and Schuster, 1956.
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Plutarch (ca 46-127) [about Archimedes:] … being perpetually charmed by his familiar siren, that is, by his geometry, he neglected to eat and drink and took no care of his person; that he was often carried by force to the baths, and when there he would trace geometrical figures in the ashes of the fire, and with his finger draws lines upon his body when it was anointed with oil, being in a state of great ecstasy and divinely possessed by his science. In G. Simmons Calculus Gems, New York: McGraw Hill Inc., 1992.
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Poe, Edgar Allen To speak algebraically, Mr. M. is execrable, but Mr. G. is (x + 1)- ecrable. [Discussing fellow writers Cornelius Mathews and William Ellery Channing.] In N. Rose Mathematical Maxims and Minims, Raleigh NC: Rome Press Inc., 1988.
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Poincar’ Jules Henri (1854-1912) What is it indeed that gives us the feeling of elegance in a solution, in a demonstration? It is the harmony of the diverse parts, their symmetry, their happy balance; in a word it is all that introduces order, all that gives unity, that permits us to see clearly and to comprehend at once both the ensemble and the details. In N. Rose Mathematical Maxims and Minims, Raleigh NC:Rome Press Inc., 1988.
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Poisson, Sim’n (1781-1840) Life is good for only two things, discovering mathematics and teaching mathematics. Mathematics Magazine, v. 64, no. 1, Feb. 1991.
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Poly’ George (1887, 1985) When introduced at the wrong time or place, good logic may be the worst enemy of good teaching. The American Mathematical Monthly, v. 100, no. 3.
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Pope, Alexander (1688-1744) See skulking Truth to her old cavern fled, Mountains of Casuistry heap’d o’er her head! Philosophy, that lean’d on Heav’n before, Shrinks to her second cause, and is no more. Physic of Metaphysic begs defence, And Metaphysic calls for aid on Sense! See Mystery to Mathematics fly! In J. R. Newman (ed.) The World of Mathematics, New York: Simon and Schuster, 1956.
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Pordage, Matthew One of the endearing things about mathematicians is the extent to which they will go to avoid doing any real work. In H. Eves Return to Mathematical Circles, Boston: Prindle, Weber and Schmidt, 1988.
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Proclus Diadochus (412 – 485) It is well known that the man who first made public the theory of irrationals perished in a shipwreck in order that the inexpressible and unimaginable should ever remain veiled. And so the guilty man, who fortuitously touched on and revealed this aspect of living things, was taken to the place where he began and there is for ever beaten by the waves. Scholium to Book X of Euclid V.
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Purcell, E. and Varberg, D. The Mean Value Theorem is the midwife of calculus — not very important or glamorous by itself, but often helping to delivery other theorems that are of major significance. Calculus with Analytic Geomety, fifth edition, Englewood Cliffs, NJ: Prentice Hall, 1987.
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Pushkin, Aleksandr Sergeyevich (1799 – 1837) Inspiration is needed in geometry, just as much as in poetry. Likhtenshtein
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Quine, Willard Van Orman Just as the introduction of the irrational numbers … is a convenient myth [which] simplifies the laws of arithmetic … so physical objects are postulated entities which round out and simplify our account of the flux of existence… The conceptional scheme of physical objects is [likewise] a convenient myth, simpler than the literal truth and yet containing that literal truth as a scattered part. In J. Koenderink Solid Shape, Cambridge Mass.: MIT Press, 1990.
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