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Lectures in Logic and Set Theory

Lectures in Logic and Set Theory

Volume 2. Set Theory

$134.00 (P)

Part of Cambridge Studies in Advanced Mathematics

  • Date Published: February 2003
  • availability: Available
  • format: Hardback
  • isbn: 9780521753746

$ 134.00 (P)

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About the Authors
  • Volume II, on formal (ZFC) set theory, incorporates a self-contained "chapter 0" on proof techniques so that it is based on formal logic, in the style of Bourbaki. The emphasis on basic techniques provides a solid foundation in set theory and a thorough context for the presentation of advanced topics (such as absoluteness, relative consistency results, two expositions of Godel's construstive universe, numerous ways of viewing recursion and Cohen forcing).

    •   User-friendly extensive discussion of issues that arise at the interface of axiomatics and mathematical 'reality'
    •   Careful use of formal logic in proofs
    •   Advanced self-contained topics such as: internal models, absoluteness, induction and inductive operators, constructible universe, Cohen forcing
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    Reviews & endorsements

    "many readers, especially those with a philosophical bent, will find this book a good choice for the classroom." - Richard E. Hodel, Duke University

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    Product details

    • Date Published: February 2003
    • format: Hardback
    • isbn: 9780521753746
    • length: 592 pages
    • dimensions: 229 x 152 x 37 mm
    • weight: 0.88kg
    • availability: Available
  • Table of Contents

    1. A bit of logic: a user's toolbox
    2. The set-theoretic universe, naively
    3. The axioms of set theory
    4. The axiom of choice
    5. The natural numbers
    transitive closure
    6. Order
    7. Cardinality
    8. Forcing
    List of symbols

  • Author

    George Tourlakis, York University, Toronto

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