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" 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 8
by Bertrand Russell - 1903 - 534 pages
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A Defence of Idealism: Some Questions and Conclusions

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...
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A Defence of Idealism: Some Questions and Conclusions

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...
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Something to Reckon with: The Logic of Terms

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...
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Linguistics and the Formal Sciences: The Origins of Generative Grammar

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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