# Godel's proof

##### By: Nagel, Ernest.

##### Contributor(s): Newman, James R [Co-author].

Material type: BookSeries: Routledge classics. Publisher: Oxon Routledge 1958Description: 94 p. Includes notes, bibliography and index.ISBN: 9780415355285.Subject(s): Gödel's theorem | Metamathematics | Logic - Symbolic and mathematicalDDC classification: 511.3 Summary: 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. https://www.routledge.com/Godels-Proof-3rd-Edition/Nagel-Newman/p/book/9780415355285Item type | Current location | Item location | Collection | Call number | Status | Date due | Barcode |
---|---|---|---|---|---|---|---|

Books | Vikram Sarabhai Library On Display | Slot 1353 (0 Floor, East Wing) | Non-fiction | 511.3 N2G6 (Browse shelf) | Checked out | 22/10/2020 | 201549 |

Table of Contents

Copyright

Contents

Acknowledgments

1 Introduction

2 The Problem of Consistency

3 Absolute Proofs of Consistency

4 The Systematic Codification of Formal Logic

5 An Example of a Successful Absolute Proof of Consistency

6 The Idea of Mapping and its Use in Mathematics

7 Godel's Proofs

A Gödel numbering

B The arithmetization of meta-mathematics

C The heart of Gödel's argument

8 Concluding Reflections

Notes

Brief Bibliography

Index.

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.

https://www.routledge.com/Godels-Proof-3rd-Edition/Nagel-Newman/p/book/9780415355285

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