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Könyv Subsystems of Second Order Arithmetic Stephen G. Simpson

Subsystems of Second Order Arithmetic

Szerző: Stephen G. Simpson
Nyelv: Angol
Kötés: Puha kötésű
Kiadó: Cambridge University Press
Elérhetőség: Beszállítói készleten
Küldés 9-15 napon belül
26 021 Ft
Almost all of the problems studied in this book are motivated by an overriding foundational question...

Információk a könyvről

Szerző
Stephen G. Simpson
Nyelv
Angol
Kötés
Könyv - Puha kötésű
Kiadva
2010
oldal
464
EAN
9780521150149
ISBN
0521150140
Enbook ID
02023959
Kiadó
Cambridge University Press
Súly
640
Méretek
156 x 234 x 24

Teljes leírás

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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