Thus mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true. The Monist - Page 41edited by - 1910Full view - About this book
| Electronic journals - 1922 - 556 pages
...mathematical truths ' without being wrong." l In the case of pure mathematics, wherein, as Eussell declares, " we never know what we are talking about, nor whether what we are saying is true," we have 1 Cited by Ribot, op. cit., p. 244. t creations of the fancy, wherein there is a conservative... | |
| Frederick Albert Richardson - 1901 - 902 pages
...more particular things, then our deductions constitute mathematics. Thus mathematics may be defined as the subject in which we never know what we are...definition, and will probably agree that it is accurate. As one of the chief triumphs of modern mathematics consists in having discovered what mathematics really... | |
| John Wesley Young, William Wells Denton, Ulysses Grant Mitchell - Algebra - 1911 - 257 pages
...most eminent mathematical logicians of the present time. " Mathematics/' he said, " is the science in which we never know what we are talking about, nor whether what we say is true."1 It is probable that many of our pupils will heartily concur in this definition. We shall... | |
| Léon Brunschvicg - Mathematics - 1912 - 628 pages
...kônnen. • (Gauss, Werke, t. VIII, Gôtlingen, 1900, p. 201). 2. « Thus mathematios may be deflned as the subject in which we never know what we are...talking about, nor whether what we are saying is true. • International monthly, 1901, p. 84. BHUNSCHVICQ. — Les éiapes. 32 mathématiques appliquées;... | |
| Robert Édouard Moritz - Mathematics - 1914 - 434 pages
...more particular things, then our deductions constitute mathematics. Thus mathematics may be defined as the subject in which we never know what we are...talking about, nor whether what we are saying is true. RUSSELL, BEHTRAND. Recent Work on the Principles of Mathematics, International Monthly, Vol. 4 (1901),... | |
| Robert Édouard Moritz - Mathematics - 1914 - 436 pages
...things, then our deductions constitute mathematics. Thus mathematics may be defined as the subject hi which we never know what we are talking about, nor whether what we are saying is true. RUSSELL, BERTRAND. Recent Work on the Principles of Mathematics, International Monthly, Vol. 4 (1901),... | |
| Mathematics - 1915 - 830 pages
...the foundations of logic. Russell has given also a somewhat humorous definition, that "mathematics is the subject in which we never know what we are talking about, nor whether what we are saying is true." Doubtless many of our students would heartily agree with this statement. In spite of its paradoxical... | |
| George Abram Miller - Mathematics - 1916 - 328 pages
...Russell, that * Benjamin Peirce, American Journal of Mathematics, Vol. 4 (1881), p. 97. mathematics is the subject in which we never know what we are talking about nor whether what we are saying is true* is also very instructive if it is properly interpreted. As mathematics has advanced the symbols employed... | |
| Education - 1907 - 512 pages
...more particular things, then our deductions constitute mathematics. Thus mathematics may be defined as the subject in which we never know what we are...talking about, nor whether what we are saying is true."* In such instances we deal mainly with our own constructions, and the compatibility of our conclusions... | |
| 1917 - 888 pages
...— no mean mathematician himself — almost facetiously to remark that " mathematics is the science in which we never know what we are talking about, nor whether what we say is true." By nature a study of ideal constructions which often prove applicable to real problems... | |
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