| 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... | |
| 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... | |
| 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,... | |
| 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;... | |
| 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... | |
| 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,... | |
| 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... | |
| 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... | |
| 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... | |
| 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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