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The Axiom of Choice
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Product Details
Author:
Thomas J. Jech
Format:
Paperback
Pages:
224
Publisher:
Dover Publications (July 24, 2008)
Language:
English
ISBN-13:
9780486466248
ISBN-10:
0486466248
Weight:
9.28oz
Dimensions:
5.5" x 8.5"
Case Pack:
36
Series:
Dover Books on Mathematics
File:
Dover-Dover_05022026_P10034514_onix30_Complete-20260501.xml
Folder:
Dover
As low as:
$15.15
List Price:
$15.95
Publisher Identifier:
P-DOVER
Discount Code:
D
Audience:
College/higher education
Pub Discount:
65
Imprint:
Dover Publications
Overview
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. Subsequent 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
An introduction to the use of the axiom of choice is followed by explorations of consistency, permutation models, and independence. Subsequent 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
