Subsystems of Second Order Arithmetic

Name: Subsystems of Second Order Arithmetic
Brand: Cambridge University Press
SKU: 9780521150149
Price: 1588 CZK
Availability: InStock

Autor: Stephen G. Simpson

Jazyk:

Vazba: Brožovaná

Vydavatel: Cambridge University Press

Dostupnost: Skladem u dodavatele

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Almost all of the problems studied in this book are motivated by an overriding foundational question...

Informace o knize

Autor

Stephen G. Simpson

Jazyk

Angličtina

Vazba

Kniha - Brožovaná

Vydáno

2010

Stránek

464

EAN

9780521150149

ISBN

0521150140

Enbook ID

02023959

Vydavatel

Cambridge University Press

Hmotnost

640

Rozměry

156 x 234 x 24

Kompletní popis

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.

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Subsystems of Second Order Arithmetic

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Kompletní popis

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