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Viac informácií o knihe Subsystems of Second Order Arithmetic

• Parametre knihy
• Anotácia kniha
• Obľúbené z iného súdka

Nákupom získate 194 bodov

Anotácia knihy

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.

Parametre knihy

Zaradenie knihy Books in English Mathematics & science Mathematics Mathematical foundations

• Celý názov: Subsystems of Second Order Arithmetic
• Autor: Stephen G. Simpson
• Jazyk: Angličtina
• Väzba: Brožovaná
• Počet strán: 464
• EAN: 9780521150149
• ISBN: 0521150140
• ID: 02023959
• Nakladateľ: Cambridge University Press
• Hmotnosť: 640 g
• Rozmery: 234 × 156 × 24 mm
• Dátum vydania: 18. February 2010

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