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Subsystems of Second Order Arithmetic
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Subsystems of Second Order Arithmetic Hardback - 2009

by Stephen G. Simpson

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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.

Details

  • Title Subsystems of Second Order Arithmetic
  • Author Stephen G. Simpson
  • Binding Hardback
  • Edition First Edition
  • Pages 464
  • Volumes 1
  • Language ENG
  • Publisher Cambridge University Press, Cambridge
  • Publication date 2009-05-29
  • Features Bibliography, Index, Table of Contents
  • ISBN 9780521884396 / 052188439X
  • Weight 1.65 lbs (0.75 kg)
  • Dimensions 9.3 x 6.2 x 1.2 in (23.62 x 15.75 x 3.05 cm)
  • Category Mathematics
  • Library of Congress subjects Predicate calculus
  • Library of Congress Catalogue Number 2008052364
  • Dewey Decimal Code 511.3

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Subsystems of Second Order Arithmetic (Perspectives in Logic)
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Subsystems of Second Order Arithmetic (Perspectives in Logic)

by Simpson, Stephen G

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Cambridge University Press. Used - Good. Ships from UK in 48 hours or less (usually same day). Your purchase helps support Sri Lankan Children's Charity 'The Rainbow Centre'. Ex-library, so some stamps and wear, but in good overall condition. 100% money back guarantee. We are a world class secondhand bookstore based in Hertfordshire, United Kingdom and specialize in high quality textbooks across an enormous variety of subjects. We aim to provide a vast range of textbooks, rare and collectible books at a great price. Our donations to The Rainbow Centre have helped provide an education and a safe haven to hundreds of children who live in appalling conditions. We provide a 100% money back guarantee and are dedicated to providing our customers with the highest standards of service in the bookselling industry.
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Subsystems of Second Order Arithmetic

Subsystems of Second Order Arithmetic

by Stephen G. Simpson

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Hardback. New. What are the appropriate axioms for mathematics? Through a series of case studies, this volume examines these axioms to prove particular theorems in core areas including 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.
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A$318.23
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Subsystems of Second Order Arithmetic

Subsystems of Second Order Arithmetic

by Stephen G. Simpson

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ISBN 10 / ISBN 13
9780521884396 / 052188439x
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Hardcover. New. New Book; Fast Shipping from UK; Not signed; Not First Edition; What are the appropriate axioms for mathematics? Through a series of case studies, this volume examines these axioms to prove particular theorems in core areas including algebra, analysis, and topology, focusing on the language of secon
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Subsystems of Second Order Arithmetic
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Subsystems of Second Order Arithmetic

by Simpson, Stephen G.

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9780521884396 / 052188439X
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Cambridge Univ Pr, 2009. Hardcover. New. 2nd edition. 460 pages. 9.10x6.30x1.20 inches.
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Subsystems of Second Order Arithmetic (Perspectives in Logic)
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Subsystems of Second Order Arithmetic (Perspectives in Logic)

by Simpson, Stephen G

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  • Hardback
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Hardcover
ISBN 10 / ISBN 13
9780521884396 / 052188439X
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Cambridge University Press, 2009-05-29. 2. hardcover. New. 6.50x1.25x9.50. Buy with confidence. Excellent Customer Service & Return policy.
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