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.
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
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).
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"--
Annals of Mathematics Studies
Language: en
Pages:
Authors: Gregory H. Moore
Categories: Mathematics
Type: BOOK - Published: 1965 - Publisher:

Books about Annals of Mathematics Studies