Subsystems of Second Order Arithmetic
Language: English
Published by Cambridge University Press, 2009
- Hardcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
AbeBooks seller since August 14, 2006
Condition: New
£ 228.85
Quantity: 1 available
Add to basketItem description from seller
Druck auf Anfrage Neuware - Printed after ordering - Almost all of the problems studied in this book are motivated by an overriding foundational question: What are the appropriate axioms for mathematics Through a series of case studies, these axioms are examined to prove particular theorems in core mathematical areas such as algebra, analysis, and topology, focusing on the language of second-order arithmetic, the weakest language rich enough to express and develop the bulk of mathematics. In many cases, if a mathematical theorem is proved from appropriately weak set existence axioms, then the axioms will be logically equivalent to the theorem. Furthermore, only a few specific set existence axioms arise repeatedly in this context, which in turn correspond to classical foundational programs. This is the theme of reverse mathematics, which dominates the first half of the book. The second part focuses on models of these and other subsystems of second-order arithmetic.
Seller Inventory # 9780521884396
- Title
- Subsystems of Second Order Arithmetic
- Author
- Stephen G. Simpson
- Publisher
- Cambridge University Press
- Publication year
- 2009
- Condition
- Neu
- Binding
- Buch
- Language
- English
- ISBN 10
- 052188439X
- ISBN 13
- 9780521884396
- Edition
- 2nd Edition
- Item weight
- 857 grams
- Dimensions
- 240x161x29 mm
- Series
- Book 1 of 17: Perspectives in Logic
"Synopsis" may belong to another edition of this title.
About the Author
"About the title" may belong to another edition of this title.
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