On Formally Undecidable Propositions of "Principia Mathematica" and Related Syst

Description: On Formally Undecidable Propositions of "Principia Mathematica" and Related Systems by Kurt Godel First English translation of revolutionary paper (1931) that established that even in elementary parts of arithmetic, there are propositions which cannot be proved or disproved within the system. Introduction by R. B. Braithwaite. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description In 1931, a young Austrian mathematician published an epoch-making paper containing one of the most revolutionary ideas in logic since Aristotle. Kurt Giidel maintained, and offered detailed proof, that in any arithmetic system, even in elementary parts of arithmetic, there are propositions which cannot be proved or disproved within the system. It is thus uncertain that the basic axioms of arithmetic will not give rise to contradictions. The repercussions of this discovery are still being felt and debated in 20th-century mathematics.The present volume reprints the first English translation of Giidels far-reaching work. Not only does it make the argument more intelligible, but the introduction contributed by Professor R. B. Braithwaite (Cambridge University}, an excellent work of scholarship in its own right, illuminates it by paraphrasing the major part of the argument.This Dover edition thus makes widely available a superb edition of a classic work of original thought, one that will be of profound interest to mathematicians, logicians and anyone interested in the history of attempts to establish axioms that would provide a rigorous basis for all mathematics. Translated by B. Meltzer, University of Edinburgh. Preface. Introduction by R. B. Braithwaite. Back Cover When Mike and Gally Martin move to a village in Somerset, its to make a fresh start. Gally feels inexplicably drawn to a derelict cottage that she is determined to restore. And the moment she meets an old countryman called Ferney, Gally begins to realize that she has in fact come home. What is it that binds them together? Reluctantly at first, but with more urgency as she feels time slipping away, Ferney compels Gally to face the inexplicable truth about their enduring love story. But what does this mean for their future? And where does it leave Mike? Long Description First English translation of revolutionary paper (1931) that established that even in elementary parts of arithmetic, there are propositions which cannot be proved or disproved within the system. It is thus uncertain that the basic axioms of arithmetic will not give rise to contradictions. Introduction by R. B. Braithwaite. Details ISBN0486669807 Author Kurt Godel Short Title ON FORMALLY UNDECIDABLE PROPOS Language English ISBN-10 0486669807 ISBN-13 9780486669809 Media Book Format Paperback DEWEY 511.3 Imprint Dover Publications Inc. Place of Publication New York Country of Publication United States Birth 1906 Death 1978 Pages 80 DOI 10.1604/9780486669809 UK Release Date 1992-04-01 AU Release Date 1992-04-01 NZ Release Date 1992-04-01 Publisher Dover Publications Inc. Edition Description New edition Audience General Series Dover Books on Mathema 1.4tics Year 2003 Publication Date 2003-03-28 US Release Date 2003-03-28 We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:145109829;

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