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Lectures in Logic and Set Theory

Volume 1. Mathematical Logic

$48.00 USD

Part of Cambridge Studies in Advanced Mathematics

  • Date Published: December 2004
  • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • format: Adobe eBook Reader
  • isbn: 9780511060274

$ 48.00 USD
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About the Authors
  • This two-volume work bridges the gap between introductory expositions of logic or set theory on one hand, and the research literature on the other. It can be used as a text in an advanced undergraduate or beginning graduate course in mathematics, computer science, or philosophy. The volumes are written in a user-friendly conversational lecture style that makes them equally effective for self-study or class use. Volume 1 includes formal proof techniques, a section on applications of compactness (including nonstandard analysis), a generous dose of computability and its relation to the incompleteness phenomenon, and the first presentation of a complete proof of Godel's 2nd incompleteness since Hilbert and Bernay's Grundlagen theorem.

    •  User-friendly extensive discussion of issues that arise at the interface of axiomatics and mathematical 'reality'
    •  A complete proof of Godel's 2nd incompleteness theorem
    •  A thorough foundation of Nonstandard Analysis
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    Reviews & endorsements

    Review of the hardback: ' … stands among the dozen or so books that will remain within easy reach from my desk … a highly worthwhile addition to the literature.' The Review of Modern Logic

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    Product details

    • Date Published: December 2004
    • format: Adobe eBook Reader
    • isbn: 9780511060274
    • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • Table of Contents

    Preface
    1. Basic logic
    2. The second incompleteness theorem
    Bibliography
    List of symbols
    Index.

  • Author

    George Tourlakis, York University, Toronto

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