The Axiom of Choice (Dover Books on Mathematics) ebook
Book By Thomas J. Jech / DMCA

The Axiom Of Choice (Dover Books On Mathematics)

Comprehensive in its selection of topics and results, this self-contained text examines the relative strengths and consequences of the axiom of choice. Each chapter contains several problems, graded according to difficulty, and concludes with some historical remarks.An introduction to the use of the axiom of choice is followed by explorations of consistency, permutation models, and independence. S...

Series: Dover Books on Mathematics
Paperback: 224 pages
Publisher: Dover Publications (July 24, 2008)
Language: English
ISBN-10: 0486466248
ISBN-13: 978-0486466248
Product Dimensions: 5.4 x 0.5 x 8.3 inches
Amazon Rank: 1421264
Format: PDF ePub TXT ebook

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“This book is ideal if, like me, you are undecided about whether the axiom(s) of choice should be accepted, rejected, or carefully interpreted and managed. Jech summarises the relevant model theory and applies this to the principal AC issues.This Dove...”

bsequent chapters examine embedding theorems, models with finite supports, weaker versions of the axiom, and nontransferable statements. The final sections consider mathematics without choice, cardinal numbers in set theory without choice, and properties that contradict the axiom of choice, including the axiom of determinacy and related topics