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Bacon, Roger For the things of this world cannot be made known without a knowledge of mathematics. Opus Majus part 4 Distinctia Prima cap 1, 1267.
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Bacon, Roger In the mathematics I can report no deficience, except that it be that men do not sufficiently understand the excellent use of the pure mathematics, in that they do remedy and cure many defects in the wit and faculties intellectual. For if the wit be too dull, they sharpen it; if too wandering, they fix it; if too inherent in the sense, they abstract it. So that as tennis is a game of no use in itself, but of great use in respect it maketh a quick eye and a body ready to put itself into all postures; so in the mathematics, that use which is collateral and intervenient is no less worthy than that which is principal and intended. John Fauvel and Jeremy Gray (eds.) A History of Mathematics: A Reader, Sheridan House, 1987.
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Bacon, Sir Francis (1561-1626) And as for Mixed Mathematics, I may only make this prediction, that there cannot fail to be more kinds of them, as nature grows further disclosed. Advancement of Learning book 2; De Augmentis book 3.
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Bagehot, Walter Life is a school of probability. Quoted in J. R. Newman (ed.) The World of Mathematics, Simon and Schuster, New York,1956, p. 1360.
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Baker, H. F. [On the concept of group:] … what a wealth, what a grandeur of thought may spring from what slightbeginnings. Florian Cajori, A History of Mathematics, New York, 1919, p 283.
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Balzac, Honore de (1799 – 1850) Numbers are intellectual witnesses that belong only to mankind.
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Banville, John Throughout the 1960s and 1970s devoted Beckett readers greeted each successively shorter volume from the master with a mixture of awe and apprehensiveness; it was like watching a great mathematician wielding an infinitesimal calculus, his equations approaching nearer and still nearer to the null point. Quoted in a review of Samuel Beckett’s Nohow On: I11 Seen I11 Said, Worstward Ho, in The New York Review of Books, August 13, 1992.
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Bell, Eric Temple (1883-1960) Wherever groups disclosed themselves, or could be introduced, simplicity crystallized out of comparative chaos. Mathematics, Queen and Servant of Science, New York, 1951, p 164.
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Belloc, Hillaire (1870-1953) Statistics are the triumph of the quantitative method, and the quantitative method is the victory of sterility and death. The Silence of the Sea
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Bentham, Jeremy (1748-1832) O Logic: born gatekeeper to the Temple of Science, victim of capricious destiny: doomed hitherto to be the drudge of pedants: come to the aid of thy master, Legislation. In J. Browning (ed.) Works.
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Bernoulli, Daniel …it would be better for the true physics if there were no mathematicians on earth. In The Mathematical Intelligencer, v. 13, no. 1, Winter 1991.
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Bernoulli, Jacques (Jakob?) (1654-1705) I recognize the lion by his paw. [After reading an anonymous solution to a problem that he realized was Newton’s solution.] In G. Simmons, Calculus Gems, New York: McGraw Hill, 1992, p. 136.
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Bernoulli, Johann But just as much as it is easy to find the differential of a given quantity, so it is difficult to find the integral of a given differential. Moreover, sometimes we cannot say with certainty whether the integral of a given quantity can be found or not.
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Besicovitch, A.S. A mathematician’s reputation rests on the number of bad proofs he has given. In J. E. Littlewood A Mathematician’s Miscellany, Methuen & Co. Ltd., 1953.
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Black holes result from God dividing the universe by zero. ~Author Unknown
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Blake God forbid that Truth should be confined to Mathematical Demonstration! Notes on Reynold’s Discourses, c. 1808.
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Blake What is now proved was once only imagin’d. The Marriage of Heaven and Hell, 1790-3.
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Bohr, Niels Henrik David (1885-1962) An expert is a man who has made all the mistakes, which can be made, in a very narrow field.
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Bolyai, J’os (1802 – 1860) Out of nothing I have created a strange new universe. [A reference to the creation of a non-euclidean geometry.]
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Bolyai, Wolfgang (1775-1856) [To son J’os:] For God’s sake, please give it up. Fear it no less than the sensual passion, because it, too, may take up all your time and deprive you of your health, peace of mind and happiness in life. [Bolyai’s father urging him to give up work on non-Euclidian geometry.] In P. Davis and R. Hersh The Mathematical Experience , Boston: Houghton Mifflin Co., 1981, p. 220.
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