Book Details
Format
Paperback / Softback
Book Series
Perspectives in Logic
ISBN-10
0521150140
ISBN-13
9780521150149
Edition
2 Revised edition
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Feb 18th, 2010
Print length
464 Pages
Weight
690 grams
Dimensions
15.50 x 23.40 x 2.70 cms
Product Classification:
Mathematical logic
Ksh 9,800.00
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What are the appropriate axioms for mathematics? Through a series of case studies, this volume examines these axioms to prove particular theorems in core areas including 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.
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.
Get Subsystems of Second Order Arithmetic by at the best price and quality guaranteed only at Werezi Africa's largest book ecommerce store. The book was published by Cambridge University Press and it has pages.
