Admissible Sets and Structures
$160.00 (C)
Part of Perspectives in Logic
- Author: Jon Barwise, University of Wisconsin, Madison
- Date Published: March 2017
- availability: Available
- format: Hardback
- isbn: 9781107168336
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160.00
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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.
Read more- 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
Introduction
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
References
Index of notation
Subject index.
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