Godel's Proof
by Nagel, Ernest; Newman, James RoyFormat: Paperback
Pub. Date: 1958-06-01
Publisher(s): New York Univ Pr
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Summary
In 1931 Kurt Godel published a revolutionary paper--one that challenged certain basic assumptions underlying much traditional research in mathematics and logic. Here is the first book to present a readable explanation to both scholars and non-specialists of the main ideas, the broad implications of Godel's proof. It offers any educated person with a taste for logic and philosophy the chance to satisfy his intellectual curiosity about a previously inaccessible subject.
Author Biography
The late Ernest Nagel was John Dewey Professor of Philosophy at Columbia University The late James R. Newman was author of What is Science Douglas R. Hofstadter is College of Arts and Sciences Professor of Computer Science and Cognitive Science at Indiana University
Table of Contents
| Foreword to the New Edition | p. ix |
| Acknowledgments | p. xxiii |
| Introduction | p. 1 |
| The Problem of Consistency | p. 7 |
| Absolute Proofs of Consistency | p. 25 |
| The Systematic Codification of Formal Logic | p. 37 |
| An Example of a Successful Absolute Proof of Consistency | p. 45 |
| The Idea of Mapping and Its Use in Mathematics | p. 57 |
| Godel's Proofs | p. 68 |
| Godel numbering | p. 68 |
| The arithmetization of meta-mathematics | p. 80 |
| The heart of Godel's argument | p. 92 |
| Concluding Reflections | p. 109 |
| Notes | p. 114 |
| Brief Bibliography | p. 125 |
| Index | p. 127 |
| Table of Contents provided by Syndetics. All Rights Reserved. |
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