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Frederick the Great (1712-1786) To your care and recommendation am I indebted for having replaced a half-blind mathematician with a mathematician with both eyes, which will especially please the anatomical members of my Academy. [To D’Alembert about Lagrange. Euler had vacated the post.] In D. M. Burton, Elementary Number Theory, Boston: Allyn and Bacon, Inc., 1976.
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Frege, Gottlob (1848 – 1925) A scientist can hardly meet with anything more undesirable than to have the foundations give way just as the work is finished. I was put in this position by a letter from Mr. Bertrand Russell when the work was nearly through the press. In Scientific American, May 1984, p 77.
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Galbraith, John Kenneth There can be no question, however, that prolonged commitment to mathematical exercises in economics can be damaging. It leads to the atrophy of judgement and intuition… Economics, Peace, and Laughter.
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Galilei, Galileo (1564 – 1642) Measure what is measurable, and make measurable what is not so. Quoted in H. Weyl ‘Mathematics and the Laws of Nature’ in I Gordon and S. Sorkin (eds.) The Armchair Science Reader, New York: Simon and Schuster, 1959.
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Galois, Evariste Unfortunately what is little recognized is that the most worthwhile scientific books are those in which the author clearly indicates what he does not know; for an author most hurts his readers by concealing difficulties. In N. Rose (ed.) Mathematical Maxims and Minims, Raleigh NC: Rome Press Inc., 1988.
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Galton, Sir Francis (1822-1911) I know of scarcely anything so apt to impress the imagination as the wonderful form of cosmic order expressed by the ‘Law of Frequency of Error.’ The law would have been personified by the Greeks and deified, if they had known of it. It reigns with serenity and in complete self-effacement, amidst the wildest confusion. The huger the mob, and the greater the apparent anarchy, the more perfect is its sway. It is the supreme law of Unreason. Whenever a large sample of chaotic elements are taken in hand and marshaled in the order of their magnitude, an unsuspected and most beautiful form of regularity proves to have been latent all along. In J. R. Newman (ed.) The World of Mathematics, New York: Simon and Schuster, 1956. p. 1482.
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Gardner, Martin Biographical history, as taught in our public schools, is still largely a history of boneheads: ridiculous kings and queens, paranoid political leaders, compulsive voyagers, ignorant generals — the flotsam and jetsam of historical currents. The men who radically altered history, the great scientists and mathematicians, are seldom mentioned, if at all. In G. Simmons Calculus Gems, New York: McGraw Hill, 1992.
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Gardner, Martin Mathematics is not only real, but it is the only reality. That is that entire universe is made of matter, obviously. And matter is made of particles. It’s made of electrons and neutrons and protons. So the entire universe is made out of particles. Now what are the particles made out of? They’re not made out of anything. The only thing you can say about the reality of an electron is to cite its mathematical properties. So there’s a sense in which matter has completely dissolved and what is left is just a mathematical structure. Gardner on Gardner: JPBM Communications Award Presentation. Focus-The Newsletter of the Mathematical Association of America v. 14, no. 6, December 1994.
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Gauss, Karl Friedrich (1777-1855) There are problems to whose solution I would attach an infinitely greater importance than to those of mathematics, for example touching ethics, or our relation to God, or concerning our destiny and our future; but their solution lies wholly beyond us and completely outside the province of science. In J. R. Newman (ed.) The World of Mathematics, New York: Simon and Schuster, 1956. p. 314.
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Gay, John Lest men suspect your tale untrue, Keep probability in view. In J. R. Newman (ed.) The World of Mathematics, New York: Simon and Schuster, 1956. p. 1334.
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Geometry existed before creation.- Plato
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Geometry is not true,it is advantageous.- Henri Poincar
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