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On Formally Undecidable Propositions of Principia Mathematica and Related Systems

by

On Formally Undecidable Propositions of Principia Mathematica and Related Systems Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

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.

Synopsis:

First English translation of revolutionary paper (1931) that established unprovability of certain propositions in any arithmetical system. Introduction by R. B. Braithwaite.


Synopsis:

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.

Product Details

ISBN:
9780486669809
Author:
Godel, Kurt
Publisher:
Dover Publications
Author:
&
Author:
G .
Author:
ouml
Author:
del, Kurt
Author:
Mathematics
Author:
Del
Author:
Kurt G
Location:
New York :
Subject:
General
Subject:
Mathematics
Subject:
Logic
Subject:
Goedel's theorem
Subject:
Gèodel's theorem.
Subject:
General Mathematics
Subject:
Mathematics-Logic and Philosophy
Edition Description:
Trade Paper
Series:
Dover Books on Mathematics
Series Volume:
no. 88-15
Publication Date:
19920401
Binding:
Electronic book text in proprietary or open standard format
Language:
English
Illustrations:
Y
Pages:
80
Dimensions:
8.5 x 5.38 in 0.2 lb

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Related Subjects


Reference » Science Reference » General
Science and Mathematics » Mathematics » Foundations and Logic
Science and Mathematics » Mathematics » History
Science and Mathematics » Mathematics » Logic and Philosophy
Science and Mathematics » Physics » Optics

On Formally Undecidable Propositions of Principia Mathematica and Related Systems New Trade Paper
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Product details 80 pages Dover Publications - English 9780486669809 Reviews:
"Synopsis" by ,
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.

"Synopsis" by , First English translation of revolutionary paper (1931) that established unprovability of certain propositions in any arithmetical system. Introduction by R. B. Braithwaite.


"Synopsis" by ,
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.

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