The Axiom of Choice

The Axiom of Choice

Author: Thomas J. Jech

Publisher: Courier Corporation

ISBN: 9780486466248

Category: Mathematics

Page: 202

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Comprehensive and self-contained text examines the axiom's relative strengths and consequences, including its consistency and independence, relation to permutation models, and examples and counterexamples of its use. 1973 edition.
The Axiom of Choice
Language: en
Pages: 202
Authors: Thomas J. Jech
Categories: Mathematics
Type: BOOK - Published: 2008-01-01 - Publisher: Courier Corporation

Comprehensive and self-contained text examines the axiom's relative strengths and consequences, including its consistency and independence, relation to permutation models, and examples and counterexamples of its use. 1973 edition.
Equivalents of the Axiom of Choice, II
Language: en
Pages: 321
Authors: H. Rubin, J.E. Rubin
Categories: Mathematics
Type: BOOK - Published: 1985-03-01 - Publisher: Elsevier

This monograph contains a selection of over 250 propositions which are equivalent to AC. The first part on set forms has sections on the well-ordering theorem, variants of AC, the law of the trichotomy, maximal principles, statements related to the axiom of foundation, forms from algebra, cardinal number theory, and
Consequences of the Axiom of Choice
Language: en
Pages: 432
Authors: Paul Howard, Jean E. Rubin
Categories: Mathematics
Type: BOOK - Published: 1998 - Publisher: American Mathematical Soc.

This book, ""Consequences of the Axiom of Choice"", is a comprehensive listing of statements that have been proved in the last 100 years using the axiom of choice. Each consequence, also referred to as a form of the axiom of choice, is assigned a number. Part I is a listing
Zermelo's Axiom of Choice
Language: en
Pages: 410
Authors: Gregory H. Moore
Categories: Mathematics
Type: BOOK - Published: 2012-09-20 - Publisher: Courier Corporation

"This book chronicles the work of mathematician Ernst Zermelo (1871-1953) and his development of set theory's crucial principle, the axiom of choice. It covers the axiom's formulation during the early 20th century, the controversy it engendered, and its current central place in set theory and mathematical logic. 1982 edition"--
Axiom of Choice
Language: en
Pages: 194
Authors: Horst Herrlich
Categories: Mathematics
Type: BOOK - Published: 2006-05-11 - Publisher: Springer Science & Business Media

AC, the axiom of choice, because of its non-constructive character, is the most controversial mathematical axiom, shunned by some, used indiscriminately by others. This treatise shows paradigmatically that: Disasters happen without AC: Many fundamental mathematical results fail (being equivalent in ZF to AC or to some weak form of AC).