 | Bertrand Russell - 1903 - 576 Seiten
...PREFACE. THE present work has two main objects. One of these, the proof that all pure mathematics deals exclusively with concepts definable in terms of a...very small number of fundamental logical principles, is undertaken in Parts II. — VII. of this Volume, and will be established by strict symbolic reasoning... | |
 | Matthew Thompson McClure - 1912 - 76 Seiten
...holds, is "capable of final and irrevocable refutation." All mathematics, it is pointed out, "deals exclusively with concepts definable in terms of a...very small number of fundamental logical concepts."! All mathematical constants are "logical constants;" and from them, ultimate and indefinable, all mathematics... | |
 | London Mathematical Society - 1926 - 578 Seiten
...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 Seiten
...mathematics became closely intertwined and in some cases theoretically identical. "All pure mathematics deals exclusively with concepts definable in terms of a...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 Seiten
...in The Principles of Mathematics, published first in 1903, which stated: all pure mathematics deals exclusively with concepts definable in terms of a...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 Seiten
...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 Seiten
...that "mathematics and logic are identical."31 More exactly, Russell said: All [pure] mathematics deals exclusively with concepts definable in terms of a...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 Seiten
...Introduction to his Principles of Mathematics, where he makes the claim that all pure mathematics deals exclusively with concepts definable in terms of a...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... | |
 | Nicholas Griffin - 2003 - 572 Seiten
...the Introduction to his Principles of Mathematics, where he states that all pure mathematics deals exclusively with concepts definable in terms of a...small number of fundamental logical concepts, and ... all its propositions are deducible from a very small number of fundamental logical principles ...."... | |
 | John Lane Bell - 2005 - 354 Seiten
...work Russell's principal objective was to demonstrate the logicist thesis that "pure mathematics deals exclusively with concepts definable in terms of a...very small number of fundamental logical principles". In particular the concept of continuity comes under close scrutiny. The work's Part V - a kind of paean... | |
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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,... 
