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This page gives a brief explanation of the Axiom of Choice and links to other related websites.
Part of the Frequently Asked Questions in Mathematics.
MacTutor History of Mathematics topic.
A weak version of ordinary set theory using bounded quantification. Papers and software.
Article in the Platonic Realms, describing Cantor's diagonal argument that showed that 'infinite integers' can be ordered.
Project to keep the book (also named in the title), describing forms related to the Axiom of Choice and their implications, updated.
A introductory guide for philosophers by Peter Suber, explaining the use of infinitary set theory.
Encyclopedia entry on equivalence relations and their role in set theory.
Extends the language of set theory through restricted self-reference and through certain large cardinals. Also discusses higher order set theory and axiomatization through reflection principles.
The text of a talk given around the millennium.
History, mathematics, metamathematics, and philosophy of Cantor's Continuum Hypothesis.
Over 3000 complete formal proofs deriving numbers and beyond from Zermelo-Fraenkel set theory axioms.
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