| Edward C. Hegeler - Philosophy - 1910
...frequently indulges in mystifications. He says (p. 84) : "Mathematics may be denned as the subject **in which we never know what we are talking about, nor whether what we** are saying is true. People who have been puzzled by the beginnings of mathematics will, I hope, find... | |
| JOHN WESLEY YOUNG - 1911
...RUSSELL, one of the 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 see... | |
| Robert Édouard Moritz - Mathematics - 1914 - 410 pages
...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, BERTRAND. Recent Work on the Principles of Mathematics, International... | |
| Robert Édouard Moritz - Mathematics - 1914 - 410 pages
...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, BERTRAND. Recent Work on the Principles of Mathematics, International... | |
| 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... | |
| James McKeen Cattell - Science - 1915
...avoid all contradictions, and to Russell's statement that " 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 mathematical skepticism which such statements may awaken ia usually mitigated... | |
| George Abram Miller - Mathematics - 1916 - 302 pages
...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... | |
| Education - 1907
...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... | |
| Florian Cajori - Education - 1919 - 514 pages
...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... | |
| Economics - 1920
...economic problem are not considered. Mr. Russell has playfully denned pure mathematics as "the subject **in which we never know what we are talking about, nor whether what we** are saying is true." In a somewhat playful sense we may allow this as a description of the economics... | |
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