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Admissible Sets and Structures

$151.00 (C)

Part of Perspectives in Logic

  • Date Published: March 2017
  • availability: Available
  • format: Hardback
  • isbn: 9781107168336

$ 151.00 (C)

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About the Authors
  • Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. Admissible set theory is a major source of interaction between model theory, recursion theory and set theory, and plays an important role in definability theory. In this volume, the seventh publication in the Perspectives in Logic series, Jon Barwise presents the basic facts about admissible sets and admissible ordinals in a way that makes them accessible to logic students and specialists alike. It fills the artificial gap between model theory and recursion theory and covers everything the logician should know about admissible sets.

    • Accessible to logic students and specialists alike
    • Fills an artificial gap between model theory and recursion theory
    • Covers everything about admissible sets that a logician should know
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    Product details

    • Date Published: March 2017
    • format: Hardback
    • isbn: 9781107168336
    • length: 408 pages
    • dimensions: 240 x 162 x 32 mm
    • weight: 0.8kg
    • contains: 21 b/w illus.
    • availability: Available
  • Table of Contents

    Part I. The Basic Theory:
    1. Admissible set theory
    2. Some admissible sets
    3. Countable fragments of L∞ω
    4. Elementary results on HYPM
    Part II. The Absolute Theory:
    5. The recursion theory of Σ1, predicates on admissible sets
    6. Inductive definitions
    Part III. Towards a General Theory:
    7. More about L∞ω
    8. Strict Π11 predicates and Koenig principles
    Appendix. Nonstandard compactness arguments and the admissible cover
    Index of notation
    Subject index.

  • Author

    Jon Barwise, University of Wisconsin, Madison
    Jon Barwise works in the Department of Mathematics at the University of Wisconsin, Madison.

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