Godel's Incompleteness Theorems

Godel's Incompleteness Theorems

by Raymond M. Smullyan
     
 

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Kurt Godel, the greatest logician of our time, startled the world of mathematics in 1931 with his Theorem of Undecidability, which showed that some statements in mathematics are inherently undecidable. His work on the completeness of logic, the incompleteness of number theory, and the consistency of the axiom of choice and the continuum theory brought him further… See more details below

Overview

Kurt Godel, the greatest logician of our time, startled the world of mathematics in 1931 with his Theorem of Undecidability, which showed that some statements in mathematics are inherently undecidable. His work on the completeness of logic, the incompleteness of number theory, and the consistency of the axiom of choice and the continuum theory brought him further worldwide fame. In this introductory volume, Raymond Smullyan, himself a well-known logician, guides the reader through the fascinating world of Godel's incompleteness theorems. The level of presentation is suitable for anyone with a basic acquaintance with mathematical logic. As a clear, concise introduction to a difficult but essential subject, the book will appeal to mathematicians, philosophers, and computer scientists.

Product Details

ISBN-13:
9780195364378
Publisher:
Oxford University Press
Publication date:
08/20/1992
Series:
Logic Guides Series , #19
Sold by:
Barnes & Noble
Format:
NOOK Book
File size:
0 MB

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