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" I have already said somewhere that mathematics is the art of giving the same name to different things. "
School Science and Mathematics - Page 31
1910
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The American Mathematical Monthly: The Official Journal of the ..., Volume 29

1922 - 560 pages
...contradictions in the literature of our subject is illustrated by following well-known dictum due to Poincar6: "Mathematics is the art of giving the same name to different things." * Many contradictions have been so mellowed by age that they are scarcely noticed by the teacher while...
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School Science and Mathematics, Volume 10

1910 - 920 pages
...most fertile field of study. This conclusion is in accord with Poincare's observations that "the ^reat advances of the past were made by the union of two...extensive developments present fewer difficulties. 'PolncariS Bulletin dcs Sciences Mathemntiques. vol. 32 (1908), p. 178. MEASURING INSTRUMENTS OF LONG...
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The Monist, Volume 20

Paul Carus - 1910 - 702 pages
...a well-chosen word can economize thought, as Mach says. Perhaps I have already said somewhere that mathematics is the art of giving the same name to different things. It is fitting that these things, differing in matter, may be alike in form, that they may, so to speak,...
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Mathematics, from the Points of View of the Mathematician and of the ...

Ernest William Hobson - 1912 - 66 pages
...been a dominant factor in the modern transformation of Mathematical Analysis. Poincare1 has said that Mathematics is the art of giving the same name to different things. We have here in epigrammatic form the statement of a most fundamental characteristic of modern Mathematics;...
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Historical Introduction to Mathematical Literature

George Abram Miller - 1916 - 328 pages
...of human interests. Like such statements as " Mathematics is the science of saving thought," and " Mathematics is the art of giving the same name to different things," f it emphasizes important elements in mathematical work. Since it may be assumed that only a very small...
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Education and World Citizenship: An Essay Towards a Science of Education

James Clerk Maxwell Garnett - 1921 - 538 pages
...which are more important than they are in the (incompleteĀ§) endarchy of science. * Cf . Poincar6 : ' Mathematics is the art of giving the same name to different things' (loc. cit. p. 34), and so uniting them. t Cf. Poincare : ' If a new result is to have any value [or,...
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Essays in Philosophy

James Ward, Olwen Ward Campbell - 1927 - 402 pages
...Space, Time and Gravitation, p. 155. 3 Mind, 1920, p. quite another purpose. " Poincare has said that Mathematics is the art of giving the same name to different things. We have here in epigrammatic form the statement of a most fundamental characteristic of modern mathematics."1...
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The Popular Science Monthly, Volume 75

1909 - 664 pages
...may sometimes serve as an exercise in secondary instruction. At a first thought the statement that " Mathematics is the art of giving the same name to different things " may appear to be entirely contrary to fact, but from a certain standpoint this statement conveys...
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Proofs and Refutations: The Logic of Mathematical Discovery

Imre Lakatos - 1976 - 190 pages
...Darboux, in his [18740], came close to this idea. Later it was clearly formulated by Poincare: '.. .mathematics is the art of giving the same name to different things... When the language is well chosen, we are astonished to learn that all the proofs made for a certain...
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Mathematics: The Loss of Certainty

Morris Kline - 1982 - 380 pages
...they are drastically different. Poincare, referring to the abstractness of mathematics, once said that mathematics is the art of giving the same name to different things. Thus, the notion of a group represents properties of the whole numbers, matrices under addition, and...
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