Godel's Incompleteness Theorems

Godel's Incompleteness Theorems
Author: Raymond M. Smullyan
Publisher: Oxford University Press
Total Pages: 156
Release: 1992-08-20
Genre: Mathematics
ISBN: 0195364376

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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 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.


Incompleteness
Language: en
Pages: 299
Authors: Rebecca Goldstein
Categories: Biography & Autobiography
Type: BOOK - Published: 2006-01-31 - Publisher: W. W. Norton & Company

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"An introduction to the life and thought of Kurt Gödel, who transformed our conception of math forever"--Provided by publisher.
Godel's Incompleteness Theorems
Language: en
Pages: 156
Authors: Raymond M. Smullyan
Categories: Mathematics
Type: BOOK - Published: 1992-08-20 - Publisher: Oxford University Press

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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 i
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Pages: 376
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Type: BOOK - Published: 2007-07-26 - Publisher: Cambridge University Press

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Peter Smith examines Gödel's Theorems, how they were established and why they matter.
Gödel's Incompleteness Theorems
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Authors: Juliette Kennedy
Categories: Philosophy
Type: BOOK - Published: 2022-04-14 - Publisher: Cambridge University Press

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This Element takes a deep dive into Gödel's 1931 paper giving the first presentation of the Incompleteness Theorems, opening up completely passages in it that
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Language: en
Pages: 236
Authors: Lorenz Halbeisen
Categories: Mathematics
Type: BOOK - Published: 2020-10-16 - Publisher: Springer Nature

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This book provides a concise and self-contained introduction to the foundations of mathematics. The first part covers the fundamental notions of mathematical lo