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R. Rivest, A. Shamir, and L. Adleman The magic words are squeamish ossifrage [This sentence is the result when a coded message in Martin Gardner’s column about factoring the famous number RSA-129 is decoded. See the article whose title is the above sentence by Barry Cipra, SIAM News July 1994, 1, 12-13.]
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Raleigh, [Sir] Walter Alexander (1861-1922) In an examination those who do not wish to know ask questions of those who cannot tell. Some Thoughts on Examinations.
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Recorde, Robert (1557) To avoide the tediouse repetition of these woordes: is equalle to: I will settle as I doe often in woorke use, a paire of paralleles, or gemowe [twin] lines of one lengthe: =, bicause noe .2. thynges, can be moare equalle. In G. Simmons Calculus Gems, New York: McGraw Hill Inc., 1992.
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Reid, Thomas It is the invaluable merit of the great Basle mathematician Leonard Euler, to have freed the analytical calculus from all geometric bounds, and thus to have established analysis as an independent science, which from his time on has maintained an unchallenged leadership in the field of mathematics. In N. Rose Mathematical Maxims and Minims, Raleigh NC:Rome Press Inc., 1988.
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Renan, Ernest The simplest schoolboy is now familiar with facts for which Archimedes would have sacrificed his life. Souvenirs d’enfance et de jeunesse.
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Richardson, Lewis Fry (1881 – 1953) Another advantage of a mathematical statement is that it is so definite that it might be definitely wrong; and if it is found to be wrong, there is a plenteous choice of amendments ready in the mathematicians’ stock of formulae. Some verbal statements have not this merit; they are so vague that they could hardly be wrong, and are correspondingly useless. Mathematics of War and Foreign Politics.
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Riskin, Adrian (after Edna St. Vincent Millay) …Euclid alone Has looked on Beauty bare. He turned away at once; Far too polite to stare. The Mathematical Intelligencer, V. 16, no. 4 (Fall 1994), p. 20.
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Rohault, Jacques (17th century) It was by just such a hazard, as if a man should let fall a handful of sand upon a table and the particles of it should be so ranged that we could read distinctly on it a whole page of Virgil’s Aenead. Trait’de Physique, Paris, 1671.
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Rosenblueth, A [with Norbert Wiener] The best material model of a cat is another, or preferably the same, cat. Philosophy of Science 1945.
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Rosenlicht, Max (1949) You know we all became mathematicians for the same reason: we were lazy.
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Rota, Gian-carlo We often hear that mathematics consists mainly of ‘proving theorems.’ Is a writer’s job mainly that of ‘writing sentences?’ In preface to P. Davis and R. Hersh The Mathematical Experience, Boston: Birkh’ser, 1981.
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Russell, Bertrand (1872-1970) Work is of two kinds: first, altering the position of matter at or near the earth’s surface relatively to other such matter; second, telling other people to do so. The first kind is unpleasant and ill paid; the second is pleasant and highly paid.
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Rutherford, Ernest (1871-1937) If your experiment needs statistics, you ought to have done a better experiment. In N. T. J. Bailey the Mathematical Approach to Biology and Medicine, New York: Wiley, 1967.
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R’yi, Alfr’ If I feel unhappy, I do mathematics to become happy. If I am happy, I do mathematics to keep happy. P. Tur’, ‘The Work of Alfr’ R’yi’, Matematikai Lapok 21, 1970, pp 199 – 210.
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Sanford, T. H. The modern, and to my mind true, theory is that mathematics is the abstract form of the natural sciences; and that it is valuable as a training of the reasoning powers not because it is abstract, but because it is a representation of actual things. In N. Rose Mathematical Maxims and Minims, Raleigh NC:Rome Press Inc., 1988.
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Santayana, George It is a pleasant surprise to him (the pure mathematician) and an added problem if he finds that the arts can use his calculations, or that the senses can verify them, much as if a composer found that sailors could heave better when singing his songs. In J. R. Newman (ed.) The World of Mathematics, New York: Simon and Schuster, 1956.
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Sarton, G. The main duty of the historian of mathematics, as well as his fondest privilege, is to explain the humanity of mathematics, to illustrate its greatness, beauty and dignity, and to describe how the incessant efforts and accumulated genius of many generations have built up that magnificent monument, the object of our most legitimate pride as men, and of our wonder, humility and thankfulness, as individuals. The study of the history of mathematics will not make better mathematicians but gentler ones, it will enrich their minds, mellow their hearts, and bring out their finer qualities.
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Sayers, Dorothy L. The biologist can push it back to the original protist, and the chemist can push it back to the crystal, but none of them touch the real question of why or how the thing began at all. The astronomer goes back untold million of years and ends in gas and emptiness, and then the mathematician sweeps the whole cosmos into unreality and leaves one with mind as the only thing of which we have any immediate apprehension. Cogito ergo sum, ergo omnia esse videntur. All this bother, and we are no further than Descartes. Have you noticed that the astronomers and mathematicians are much the most cheerful people of the lot? I suppose that perpetually contemplating things on so vast a scale makes them feel either that it doesn’t matter a hoot anyway, or that anything so large and elaborate must have some sense in it somewhere. With R. Eustace, The Documents in the Case, New York: Harper and Row, 1930, p 54.
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Schopenhauer Of all the intellectual faculties, judgment is the last to mature. A child under the age of fifteen should confine its attention either to subjects like mathematics, in which errors of judgment are impossible, or to subjects in which they are not very dangerous, like languages, natural science, history, etc.
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Seneca If you would make a man happy, do not add to his possessions but subtract from the sum of his desires. In H. Eves Return to Mathematical Circles, Boston: Prindle, Weber and Schmidt, 1988.
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