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## Details

Named Person: | Kurt Gödel; Kurt Gödel |
---|---|

Document Type: | Book |

All Authors / Contributors: |
Juliette Kennedy |

ISBN: | 9781316639771 1316639770 9781107002661 1107002664 |

OCLC Number: | 974528931 |

Description: | 292 Seiten. ; 23 cm. |

Contents: | 1. Introduction: Goedel and analytic philosophy: how did we get here? Juliette Kennedy; Part I. Goedel on Intuition: 2. Intuitions of three kinds in Goedel's views on the continuum John Burgess; 3. Goedel on how to have your mathematics and know it too Janet Folina; Part II. The Completeness Theorem: 4. Completeness and the ends of axiomatization Michael Detlefsen; 5. Logical completeness, form, and content: an archaeology Curtis Franks; Part III. Computability and Analyticity: 6. Goedel's 1946 Princeton bicentennial lecture: an appreciation Juliette Kennedy; 7. Analyticity for realists Charles Parsons; Part IV. The Set-Theoretic Multiverse: 8. Goedel's program John Steel; 9. Multiverse set theory and absolutely undecidable propositions Jouko Vaananen; Part V. The Legacy: 10. Undecidable problems: a sampler Bjorn Poonen; 11. Reflecting on logical dreams Saharon Shelah. |

Responsibility: | edited by Juliette Kennedy. |

## Reviews

*Editorial reviews*

Publisher Synopsis

'These essays explore most aspects of Goedel's legacy, including his conceptions of intuition and analyticity, the Completeness theorem, the set-theoretic multiverse and the current state of mathematical logic.' Graham Hoare, The Mathematical Gazette 'In sum, this is a collection of stimulating essays, mathematically as well as philosophically. They are not exactly easy reading and require familiarity, at least in broad strokes, with Goedel's mathematical work and his central philosophical ideas (as well as their evolution and historical context). The patient reader will be rewarded by a deeper understanding of both.' Wilfried Sieg, Isis "These essays explore most aspects of Goedel's legacy, including his conceptions of intuition and analyticity, the Completeness theorem, the set-theoretic multiverse and the current state of mathematical logic." Graham Hoare, The Mathematical Gazette 'In sum, this is a collection of stimulating essays, mathematically as well as philosophically. They are not exactly easy reading and require familiarity, at least in broad strokes, with Goedel's mathematical work and his central philosophical ideas (as well as their evolution and historical context). The patient reader will be rewarded by a deeper understanding of both.' Wilfried Sieg, Isis Read more...

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