Godel's proof: where old and new media collide
By: Nagel, Ernest
Contributor(s): Newman, James R | Hofstadter, Douglas R
Language: English Publisher: United States of America -- New York University Press -- 2008Edition: Rev. edDescription: xxiii, 129pISBN: 9780814758373Subject(s): Mathematics | Principles of mathematics | LogicDDC classification: 511.3 NAG/G Summary:
In 1931 Kurt Godel published his fundamental paper, On Formally Undecidable Propositions of Principia Mathematica and Related Systems. This revolutionary paper challenged certain basic assumptions underlying much research in mathematics and logic. The authors provide an explanation of the main ideas and broad implications of Godel's discovery.
| Item type | Current location | Collection | Call number | Status | Date due | Barcode |
|---|---|---|---|---|---|---|
Reference
|
CENTRAL LIBRARY Reference (Sahyadri Campus) | Reference | 511.3 NAG/G | Not for loan | 08042 |
Contents
Foreword to the New Edition by Douglas R. Hofstadter ix
Acknowledgments xxiii
i Introduction 1
ii The Problem of Consistency 7
iii Absolute Proofs of Consistency 25
iv The Systematic Codification of Formal Logic 37
v An Example of a Successful Absolute Proof of Consistency 45
vi The Idea of Mapping and Its Use in Mathematics 57
vii Godel's Proofs 68
a Godel numbering 68
b The arithmetization of meta-mathematics 80
c The heart of Godel's argument 92
viii Concluding Reflections 109
Appendix: Notes 114
Brief Bibliography 125
Index 127
In 1931 Kurt Godel published his fundamental paper, On Formally Undecidable Propositions of Principia Mathematica and Related Systems. This revolutionary paper challenged certain basic assumptions underlying much research in mathematics and logic. The authors provide an explanation of the main ideas and broad implications of Godel's discovery.