Subsystems of Second Order Arithmetic

Name: Subsystems of Second Order Arithmetic
Brand: Cambridge University Press
SKU: 9780521884396
Price: 185.31 EUR
Availability: InStock

Autor: Stephen G. Simpson

Jazyk:

Väzba: Pevná

Vydavateľ: Cambridge University Press

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

Informácie o knihe

Autor

Stephen G. Simpson

Jazyk

Angličtina

Väzba

Kniha - Pevná

Vydalo

2009

Stránok

464

EAN

9780521884396

ISBN

052188439X

Enbook ID

02049011

Vydavateľ

Cambridge University Press

Hmotnosť

800

Rozmery

157 x 236 x 30

Kompletný 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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