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On Formally Undecidable Propositions of Principia Mathematica and Related Systems (Dover Books on Mathematics) (English Edition) de Kurt Gödel
Descripción - 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.
Detalles del Libro
- Name: On Formally Undecidable Propositions of Principia Mathematica and Related Systems (Dover Books on Mathematics) (English Edition)
- Autor: Kurt Gödel
- Categoria: Tienda Kindle,eBooks Kindle,eBooks en idiomas extranjeros
- Tamaño del archivo: 10 MB
- Tipos de archivo: PDF Document
- Descargada: 264 times
- Idioma: Español
- Archivos de estado: AVAILABLE
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On formally undecidable propositions of principia 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 gödeldated november 17 1930 it was originally published in german in the 1931 volume of monatshefte für mathematik several english translations have appeared in print and
On formally undecidable propositions of principia on formally undecidable propositions of principia mathematica and related systems dover books on advanced mathematics dover books on mathematics author kurt gödel edition reprint revised publisher courier corporation 1992 isbn 0486669807 9780486669809 length 72 pages subjects
On formally undecidable propositions of principia unentscheidbare sätze der principia mathematica und verwandter systeme i on formally undecidable propositions of principia mathematica and related systems i is translated in this book gödel intended to write a second part to the paper but this has never been published gödels theorem as a simple corollary of proposition vi p
Sobre proposiciones formalmente indecidibles de principia sobre proposiciones formalmente indecidibles de principia mathematica y sistemas relacionados en alemán über formal unentscheidbare sätze der principia mathematica und verwandter systeme i es un artículo acerca de lógica matemática escrito por kurt gödelel artículo con fecha de 17 de noviembre de 1930 fue publicado originalmente en alemán en el volumen de 1931 de monatshefte
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On formally undecidable propositions of principia book summary the title of this book is on formally undecidable propositions of principia mathematica and related systems and it was written by kurt gödel this particular edition is in a paperback format this books publish date is apr 01 1992 and it has a suggested retail price of 995
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Principia mathematica wikipedia la enciclopedia libre principia mathematica es un conjunto de tres libros con las bases de la matemática escritos por bertrand russell y alfred north whitehead publicados entre 1910 y 1913este trabajo constituye un intento de deducir la mayor parte de los conocimientos matemáticos de la época a partir de un conjunto de principios o axiomasla principal motivación para esta obra provenía del trabajo anterior
On formally undecidable propositions of principia read on formally undecidable propositions of principia mathematica and related systems by kurt gödel online on bookmate in 1931 a young austrian mathematician published an epochmaking paper con