Arithmetic

Subsystems of Second Order Arithmetic

Name: Subsystems of Second Order Arithmetic
Brand: Cambridge University Press
SKU: 9780521150149
Price: 6685.00 INR
Availability: InStock
ISBN: 9780521150149

SUBSYSTEMS OF 2ND ORDER ARITHM

Contributor(s): Simpson, Stephen G. Author Format: Paperback

Paperback · ISBN 9780521150149

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Key Specifications

ISBN	9780521150149
Subtitle	SUBSYSTEMS OF 2ND ORDER ARITHM
Publisher	Cambridge University Press
Publication date	February 2010
Language	English
MRP	£53.00 GBP
Page count	464
Item weight	143 g

Foundations of mathematics is the study of the most basic concepts and logical structure of mathematics, with an eye to the unity of human knowledge. 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. Additional results are presented in an appendix.

Subsystems of Second Order Arithmetic

Key Specifications

Simpson, Stephen G. Author

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