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Subsystems of second order arithmetic

Author: Stephen G Simpson; Association for Symbolic Logic.
Publisher: Cambridge ; New York : Cambridge University Press, 2009.
Series: Perspectives in logic.
Edition/Format:   Book : English : 2nd edView all editions and formats
Database:WorldCat
Summary:
This volume examines appropriate axioms for mathematics to prove particular theorems in core areas.
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Document Type: Book
All Authors / Contributors: Stephen G Simpson; Association for Symbolic Logic.
ISBN: 9780521884396 052188439X
OCLC Number: 288374692
Notes: "Association for Symbolic Logic."
Description: xvi, 444 p. : ill. ; 25 cm.
Contents: List of tables; Preface; Acknowledgements; 1. Introduction; Part I. Development of Mathematics within Subsystems of Z2: 2. Recursive comprehension; 3. Arithmetical comprehension; 4. Weak Konig's lemma; 5. Arithmetical transfinite recursion; 6. pi11 comprehension; Part II. Models of Subsystems of Z2: 7. beta-models; 8. omega-models; 9. Non-omega-models; Part III. Appendix: 10. Additional results; Bibliography; Index.
Series Title: Perspectives in logic.
Responsibility: Stephen G. Simpson.

Abstract:

Through a series of case studies, this volume examines these axioms to prove particular theorems in core mathematical areas.  Read more...

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