priori. The fact is that, when once the apparatus of logic has been accepted, all mathematics necessarily follows. The logical constants themselves are to be defined only by enumeration, for they are so fundamental that all the properties by which the... The Principles of Mathematics - Page 8by Bertrand Russell - 1903 - 534 pagesFull view - About this book
| May Sinclair - Idealism - 1917 - 386 pages
...I believe, the precise statement of what philosophers have meant in asserting that mathematics is a priori. The fact is, that when once the apparatus...logic has been accepted, all mathematics necessarily follow." (Ibid. p. 8.) 35. Bertrand Russell, Our Knowledge of the External World, pp. 87 et seq. Also... | |
| May Sinclair - Idealism - 1917 - 394 pages
...I believe, the precise statement of what philosophers have meant in asserting that mathematics is a priori. The fact is, that when once the apparatus...logic has been accepted, all mathematics necessarily follow." (Ibid. p. 8.) 35. Bertrand Russell, Our Knowledge of the External World, pp. 87 et seq. Also... | |
| George Englebretsen - Philosophy - 1996 - 274 pages
...decision whether a word belongs to the logical vocabulary or not" (1977: 24); and, of course, Russell: "The logical constants themselves are to be defined...properties by which the class of them might be defined presupposes some terms of the class. But practically, the method of discovering the logical constants... | |
| Marcus Tomalin - Language Arts & Disciplines - 2006
...precise statement of what philosophers have meant in asserting that mathematics is a priori [sic]. The fact is that, when once the apparatus of logic...been accepted, all mathematics necessarily follows.. . From what has now been said, the reader will perceive that the present work has to fulfil two objectives,... | |
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