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Subsystems of Second Order Arithmetic

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Subsystems of Second Order Arithmetic - Simpson, Stephen G.
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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 ...

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Subsystems of Second Order Arithmetic 2010, Cambridge University Press, Cambridge

ISBN-13: 9780521150149

2nd edition

Trade paperback

Subsystems of Second Order Arithmetic 2009, Cambridge University Press, Cambridge

ISBN-13: 9780521884396

2nd edition

Hardcover