| Frederick Albert Richardson - 1901
...anything, and not about some one or more particular things, then our deductions constitute mathematics. **Thus mathematics may be defined as the subject in...talking about, nor whether what we are saying is true.** People who have been puzzled by the beginnings of mathematics will, I hope, find comfort in this definition,... | |
| Edward C. Hegeler - Philosophy - 1910
...real, we can not say that what mathematics teaches is "not true." Nor is it fair to define mathematics **as "the subject in which we never know what we are talking about."** I understand that Professor Russell bases his view upon the method of some Italian mathematicians who... | |
| JOHN WESLEY YOUNG - 1911
...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... | |
| Robert Édouard Moritz - Mathematics - 1914 - 410 pages
...anything and not about some one or more particular things, then our deductions constitute mathematics. **Thus mathematics may be defined as the subject in...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 - 410 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),... | |
| George Abram Miller - Mathematics - 1916 - 302 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
...anything, and not about some one or more particular things, then our deductions constitute mathematics. **Thus mathematics may be defined as the subject in...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
...— 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... | |
| James Byrnie Shaw - Mathematics - 1918 - 206 pages
...space? Is mathematics the subject1 "in which we never 1 Russell, International Monthly, 4 (1901), p. 84. **know what we are talking about, nor whether what we are saying is true?"** Does mathematics rest on the granite of the earth, or on the mists of the air, or on the fancies of... | |
| Florian Cajori - Education - 1919 - 514 pages
...the extreme generality and extreme subtleness of certain parts of modern mathematics: "Mathematics is **the subject in which we never know what we are talking about nor whether what we are saying is true."** ; Other definitions along similar lines are due to E. Papperitz (1892), G. Itelson (1904), and L. Couturat... | |
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