Admissible Sets and Structures
Author:   Jon Barwise (University of Wisconsin, Madison)
Publisher:   Cambridge University Press
Volume:   7
ISBN:  

9781107168336


Pages:   408
Publication Date:   02 March 2017
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Admissible Sets and Structures


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Overview

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.

Full Product Details

Author:   Jon Barwise (University of Wisconsin, Madison)
Publisher:   Cambridge University Press
Imprint:   Cambridge University Press
Volume:   7
Dimensions:   Width: 16.20cm , Height: 3.20cm , Length: 24.00cm
Weight:   0.800kg
ISBN:  

9781107168336


ISBN 10:   1107168333
Pages:   408
Publication Date:   02 March 2017
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

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

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