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Auteur : Kurt Godel
Catégorie : Livres anglais et étrangers,Science,Mathematics
Broché : * pages
Éditeur : *
Langue : Français, Anglais

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 Giidel's 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.

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On Formally Undecidable Propositions of Principia ~ On Formally Undecidable Propositions of Principia Mathematica and Related Systems . Gödel’s First Incompleteness Theorem: any consistent formal system, S, within which a certain amount of arithmetic can be carried out,

On Formally Undecidable Propositions of Principia ~ On Formally Undecidable Propositions of Principia Mathematica And Related Systems KURT GÖDEL Translated by B. MELTZER Introduction by R. B. BRAITHWAITE TO CHRISTOPHER FERNAU in gratitude. FL: Page 2 11/10/00 PREFACE Kurt Gödel’s astonishing discovery and proof, published in 1931, that even in elementary parts of arithmetic there exist propositions which cannot be proved or disproved within .

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On Formally Undecidable Propositions of Principia ~ On Formally Undecidable Propositions Of Principia Mathematica And Related Systems. Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I ("On Formally Undecidable Propositions of Principia Mathematica and Related Systems I") is a paper in mathematical logic by Kurt Gödel. Dated November 17, 1930, it was originally published in German in the 1931 volume of .

On Formally Undecidable Propositions of Principia ~ On Formally Undecidable Propositions of Principia Mathematica and Related Systems: / //Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme. World Heritage Encyclopedia, the aggregation of the largest online encyclopedias available, and the most definitive collection ever assembled.

On Formally Undecidable Propositions of Principia ~ On Formally Undecidable Propositions of Principia Mathematica and Related Systems. Kurt Gödel. Courier Corporation, Jan 1, 1992 - Mathematics - 72 pages. 2 Reviews. 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 .

On Formally Undecidable Propositions of Principia ~ On Formally Undecidable Propositions of Principia Mathematica and Related Systems. By: Kurt Gödel. Book; Reg. Price › $9.95; eBook; Sale Price › $7.16; Book + eBook; Reg. Price › $10.95; Share this book: Product Description; Product Details; In 1931, a young Austrian mathematician published an epoch-making paper containing one of the most revolutionary ideas in logic since Aristotle .

On Formally Undecidable Propositions of Principia ~ "On formally undecidable propositions of Principia Mathematica and related systems I." Translated by Martin Hirzel, November 27, 2000. "Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I" on Wilhelm K. Essler's (Prof. em. of Logic, Goethe-Universität Frankfurt am Main) webpage

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Buldt : Review of Kurt Gödel, On Formally Undecidable ~ Mod. Log. Volume 7, Number 1 (1997), 90-99. Review of Kurt Gödel, On Formally Undecidable Propositions of Principia Mathematica and Related Systems, Translated by B. Meltzer, with an introduction by R. B. Braithwaite Bernd Buldt

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Notice bibliographique On Formally undecidable ~ Type(s) de contenu et mode(s) de consultation : Texte : sans médiation Auteur(s) : Gödel, Kurt (1906-1978) Voir les notices liées en tant qu'auteur Titre(s) : On Formally undecidable propositions of "Principia mathematica" and related systems [Über formal unentscheidbare Sätze der Principia mathematica und verwandter Systeme I]. Translated by B. Meltzer, with an introduction by R. B .

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Kurt Gödel (1906-1978) - BnF ~ On Formally undecidable propositions of "Principia mathematica" and related systems [Über formal unentscheidbare Sätze der Principia mathematica und verwandter Systeme I]. Translated by B. Meltzer, with an introduction by R. B. Braithwaite (1962) Œuvres mixtes (5) Collected works Volume IV (2003) Collected works Volume V (2003) Sur les propositions formellement indécidables de "Principia .