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Godel's Proof / Edition 3

Godel's Proof / Edition 3

Godel's Proof / Edition 3
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ISBN-10:
0415355281
ISBN-13:
9780415355285
Pub. Date:
09/09/2005
Publisher:
Taylor & Francis
ISBN-10:
0415355281
ISBN-13:
9780415355285
Pub. Date:
09/09/2005
Publisher:
Taylor & Francis
Godel's Proof / Edition 3

Godel's Proof / Edition 3

Overview

'Nagel and Newman accomplish the wondrous task of clarifying the argumentative outline of Kurt Godel's celebrated logic bomb.' - The Guardian

In 1931 the mathematical logician Kurt Godel published a revolutionary paper that challenged certain basic assumptions underpinning mathematics and logic. A colleague of physicist Albert Einstein, his theorem proved that mathematics was partly based on propositions not provable within the mathematical system. The importance of Godel's Proof rests upon its radical implications and has echoed throughout many fields, from maths to science to philosophy, computer design, artificial intelligence, even religion and psychology. While others such as Douglas Hofstadter and Roger Penrose have published bestsellers based on Godel's theorem, this is the first book to present a readable explanation to both scholars and non-specialists alike. A gripping combination of science and accessibility, Godel's Proof by Nagel and Newman is for both mathematicians and the idly curious, offering those with a taste for logic and philosophy the chance to satisfy their intellectual curiosity.

Kurt Godel (1906 - 1978) Born in Brunn, he was a colleague of physicist Albert Einstein and professor at the Institute for Advanced Study in Princeton, N.J.

Product Details

ISBN-13: 9780415355285
Publisher: Taylor & Francis
Publication date: 09/09/2005
Series: Routledge Classics
Edition description: Revised
Pages: 104
Product dimensions: 5.06(w) x 7.81(h) x (d)

About the Author

James R. Newman

Table of Contents

Chapter 1 Introduction; Chapter 2 The Problem of Consistency; Chapter 3 Absolute Proofs of Consistency; Chapter 4 The Systematic Codification of Formal Logic; Chapter 5 An Example of a Successful Absolute Proof of Consistency; Chapter 6 The Idea of Mapping and Its Use in Mathematics; Chapter 7 Gödel's Proofs; Chapter 8 Concluding Reflections;

What People are Saying About This

From the Publisher

"A little masterpiece of exegesis."

-Nature,

"An excellent non-technical account of the substance of Gödel's celebrated paper."

-Bulletin of the American Mathematical Society

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