Godel's Proof
Seiten
1971
|
2nd New edition
Routledge (Verlag)
978-0-415-04040-2 (ISBN)
Routledge (Verlag)
978-0-415-04040-2 (ISBN)
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In 1931 Kurt Godel published a revolutionary paper - one that challenged certain basic assumptions underlying much traditional research in mathematics and logic. Today his exploration of "terra incognita" has been recognized as one of the major contributions to modern scientific thought.
In 1931 the mathematical logician Kurt Godel published a revolutionary paper that challenged certain basic assumptions underpinning mathematics and logic. A colleague of Albert Einstein, his theorem proved that mathematics was partly based on propositions not provable within the mathematical system and had radical implications that have echoed throughout many fields. 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.
In 1931 the mathematical logician Kurt Godel published a revolutionary paper that challenged certain basic assumptions underpinning mathematics and logic. A colleague of Albert Einstein, his theorem proved that mathematics was partly based on propositions not provable within the mathematical system and had radical implications that have echoed throughout many fields. 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.
Acknowledgments. Introduction. The Problem of Consistency. Absolute Proofs of Consistency. The Systematic Codification of Formal Logic. An Example of a Successful Absolute Proof of Consistency. The Idea of Mapping and its Use in Mathematics. Godel’s Proof. Godel Numbering. The Arithmetization of Meta-Mathematics. The Heart of Godel’s Argument. Concluding Reflections. Appendix: Notes. Brief Bibliography. Index
| Erscheint lt. Verlag | 17.6.1971 |
|---|---|
| Reihe/Serie | Routledge Classics |
| Verlagsort | London |
| Sprache | englisch |
| Maße | 129 x 198 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik |
| ISBN-10 | 0-415-04040-X / 041504040X |
| ISBN-13 | 978-0-415-04040-2 / 9780415040402 |
| Zustand | Neuware |
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