The axiom of choice in the foundations of mathematics

Abstract

The principle of set theory known as the Axiom of Choice (AC) has been hailed as “probably the most interesting and, in spite of its late appearance, the most discussed axiom of mathematics, second only to Euclid’s axiom of parallels which was introduced more than two thousand years ago”1 It has been employed in countless mathematical papers, a number of monographs have been exclusively devoted to it, and it has long played a prominently role in discussions on the foundations of mathematics.

Download options

PhilArchive



    Upload a copy of this work     Papers currently archived: 72,694

External links

  • This entry has no external links. Add one.
Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

  • Only published works are available at libraries.

Analytics

Added to PP
2009-01-28

Downloads
109 (#110,301)

6 months
2 (#259,525)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

John L. Bell
University of Western Ontario

References found in this work

No references found.

Add more references

Citations of this work

Add more citations

Similar books and articles

Ultrapowers Without the Axiom of Choice.Mitchell Spector - 1988 - Journal of Symbolic Logic 53 (4):1208-1219.
On Generic Extensions Without the Axiom of Choice.G. P. Monro - 1983 - Journal of Symbolic Logic 48 (1):39-52.
On Power Set in Explicit Mathematics.Thomas Glass - 1996 - Journal of Symbolic Logic 61 (2):468-489.
Mathematics and Mind.Alexander George (ed.) - 1994 - Oxford, England and New York, NY, USA: Oxford University Press.
The Axiom of Choice.John L. Bell - 2008 - Stanford Encyclopedia of Philosophy.