On Formally Undecidable Propositions of Principia Mathematica and Related Systems (Dover Books on Mathematics) - Softcover

Buch 83 von 303: Dover Books on Mathematics

Godel, Kurt

 
9780486669809: On Formally Undecidable Propositions of Principia Mathematica and Related Systems (Dover Books on Mathematics)
Softcover
ISBN 10: 0486669807 ISBN 13: 9780486669809
Verlag: Dover Publications Inc., 1992

Inhaltsangabe

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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Verlag
Dover Publications Inc.
Erscheinungsdatum
1992
Sprache
Englisch
ISBN 10 
0486669807
ISBN 13 
9780486669809
Einband
Taschenbuch
Anzahl der Seiten
80
Kontakt zum Hersteller
Dover
info@galileo-mc.de

Dachauer Str. 5-7
F�rstenfeldbruck
82256
Deutschland

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