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In mathematics, you don’t understand things. You just get used to them.- Johann Neumann
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In the binary system we count on our fists instead of on our fingers. ~Author Unknown
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In the fall of 1972 President Nixon announced that the rate of increase of inflation was decreasing. This was the first time a sitting president used the third derivative to advance his case for reelection. Mathematics Is an Edifice, Not a Toolbox, Notices of the AMS, v. 43, no. 10, October 1996.
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Isidore of Seville (ca 600 ad) Take from all things their number and all shall perish.
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Jacobi, Carl God ever arithmetizes. In H. Eves Mathematical Circles Revisited, Boston: Prindle, Weber and Schmidt, 1971.
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Jacobi, Carl It is often more convenient to possess the ashes of great men than to possess the men themselves during their lifetime. [Commenting on the return of Descartes’ remains to France] In H. Eves Mathematical Circles Adieu, Boston: Prindle, Weber and Schmidt, 1977.
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Jacobi, Carl It is true that Fourier had the opinion that the principal aim of mathematics was public utility and explanation of natural phenomena; but a philosopher like him should have known that the sole end of science is the honor of the human mind, and that under this title a question about numbers is worth as much as a question about the system of the world. In N. Rose Mathematical Maxims and Minims, Raleigh NC:Rome Press Inc., 1988.
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Jacobi, Carl Mathematics is the science of what is clear by itself. In J. R. Newman (ed.) The World of Mathematics, New York: Simon and Schuster, 1956.
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Jacobi, Carl One should always generalize. (Man muss immer generalisieren) In P. Davis and R. Hersh The Mathematical Experience, Boston: Birkh’ser, 1981.
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Jacobi, Carl The real end of science is the honor of the human mind. In H. Eves In Mathematical Circles, Boston: Prindle, Weber and Schmidt, 1969.
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James, William (1842 – 1910) The union of the mathematician with the poet, fervor with measure, passion with correctness, this surely is the ideal. Collected Essays.
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Jeans, Sir James From the intrinsic evidence of his creation, the Great Architect of the Universe now begins to appear as a pure mathematician. Mysterious Universe.
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Jeans, Sir James The essential fact is that all the pictures which science now draws of nature, and which alone seem capable of according with observational facts, are mathematical pictures. In J. R. Newman (ed.) The World of Mathematics, New York: Simon and Schuster, 1956.
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Jefferson, Thomas …the science of calculation also is indispensable as far as the extraction of the square and cube roots: Algebra as far as the quadratic equation and the use of logarithms are often of value in ordinary cases: but all beyond these is but a luxury; a delicious luxury indeed; but not be in indulged in by one who is to have a profession to follow for his subsistence. In J. Robert Oppenheimer ‘The Encouragement of Science’ in I. Gordon and S. Sorkin (eds.) The Armchair Science Reader, New York: Simon and Schuster, 1959.
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Jevons, William Stanley It is clear that Economics, if it is to be a science at all, must be a mathematical science. Theory of Political Economy.
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Jonathan Swift What vexes me most is, that my female friends, who could bear me very well a dozen years ago, have now forsaken me, although I am not so old in proportion to them as I formerly was: which I can prove by arithmetic, for then I was double their age, which now I am not. Letter to Alexander Pope. 7 Feb. 1736.
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Jowett, Benjamin (1817 – 1893) Logic is neither a science or an art, but a dodge. In J. R. Newman (ed.) The World of Mathematics, New York: Simon and Schuster, 1956.
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Kant, Emmanual (1724 – 1804) The science of mathematics presents the most brilliant example of how pure reason may successfully enlarge its domain without the aid of experience. The Mathematical Intelligencer, v. 13, no. 1, Winter 1991.
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Kaplan, Abraham Mathematics is not yet capable of coping with the naivete of the mathematician himself. Sociology Learns the Language of Mathematics.
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Kaplansky, Irving We [he and Halmos] share a philosophy about linear algebra: we think basis-free, we write basis-free , but when the chips are down we close the office door and compute with matrices like fury. Paul Halmos: Celebrating 50 Years of Mathematics.
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