 One of these, the proof that all pure mathematics deals exclusively with concepts definable in terms of a very small number of fundamental logical concepts, and that all its propositions are deducible from a very small number of fundamental logical principles,...  British Logic in the Nineteenth Century - Página 131editado por - 2008 - 750 páginasVista previa limitada - Acerca de este libro
 | Bertrand Russell - 1903 - 576 páginas
...EEGHJEST OF PROF. ALEXANDER ZIWET. PREFACE. THE present work has two main objects. One of these, the proof that all pure mathematics deals exclusively with concepts...very small number of fundamental logical principles, is undertaken in Parts II. — VII. of this Volume, and will be established by strict symbolic reasoning... | |
 | Paul Carus - 1908 - 786 páginas
...are associated with the names of Mach and Stallo.2 In mathematics, the main result has been the proof that all pure mathematics deals exclusively with concepts definable in terms of the fundamental logical concepts, and that all its propositions are deducible from the fundamental... | |
 | Matthew Thompson McClure - 1912 - 76 páginas
...Russell holds, is "capable of final and irrevocable refutation." All mathematics, it is pointed out, "deals exclusively with concepts definable in terms...very small number of fundamental logical concepts."! All mathematical constants are "logical constants;" and from them, ultimate and indefinable, all mathematics... | |
 | 1903 - 798 páginas
...fundamental concepts. The rest of this volume is devoted to the proof that all pure mathematics deal exclusively with concepts definable in terms of a...very small number of fundamental logical principles, and deals from this point of view successively with the principles of the theory of number, the infinitesimal... | |
 | London Mathematical Society - 1926 - 578 páginas
...logical school has concentrated on the analysis of mathematical concepts, which it has shown to be definable in terms of a very small number of fundamental logical concepts, and, having given this account of the concepts of mathematics, they have immediately deduced an account... | |
 | Edward A. Purcell, Jr. - 1973 - 348 páginas
...(1910-1913), logic and mathematics became closely intertwined and in some cases theoretically identical. "All pure mathematics deals exclusively with concepts...very small number of fundamental logical concepts," the Principia declared, and thus "all its propositions are deducible from a very small number of logical... | |
 | Ben Avis Orcutt - 1990 - 348 páginas
...formulated by Bertrand Russell in The Principles of Mathematics, published first in 1903, which stated: all pure mathematics deals exclusively with concepts...number of fundamental logical concepts, and that all of its propositions are deductive from a very small number of fundamental logical principles. 24 As... | |
 | F. P. Ramsey - 1990 - 288 páginas
...logical school has concentrated on the analysis of mathematical concepts, which it has shown to be definable in terms of a very small number of fundamental logical concepts ; and, having given this account of the concepts of mathematics, they have immediately deduced an account... | |
 | N. Capaldi - 1998 - 553 páginas
...logicist program alleges that "mathematics and logic are identical."31 More exactly, Russell said: All [pure] mathematics deals exclusively with concepts...small number of [fundamental] logical concepts, and ... all its propositions are deducible from a very small number of fundamental logical principles.32... | |
 | A. D. Irvine - 1998 - 360 páginas
...famous 1903 statement in the Introduction to his Principles of Mathematics, where he makes the claim that all pure mathematics deals exclusively with concepts...deducible from a very small number of fundamental logical principles.9 Thus, in its original formulation, Russell's logicism had two goals. The first was to... | |
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