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A Crash Course in the Mathematics of Infinite Sets - http://www.earlham.edu/~peters/writing/infapp.htm A introductory guide for philosophers by Peter Suber, explaining the use of infinitary set theory.

A New System of Axioms Instead of ZF - http://hp.vector.co.jp/authors/VA011700/math/wardwww.htm The page claims that "the axioms shown below have the contents that should overturn the set theory of today".

Axiom of Choice and Continuum Hypothesis - http://db.uwaterloo.ca/~alopez-o/math-faq/mathtext/node34.html Part of the Frequently Asked Questions in Mathematics.

Bounded Set Theory - http://www.botik.ru/~logic/bst/bst.html A weak version of ordinary set theory using bounded quantification. Papers and software.

Cantor's Theorem - http://www.mathacademy.com/pr/prime/articles/cantor_theorem/ Article in the Platonic Realms, describing Cantor's diagonal argument that showed that 'infinite integers' can be ordered.

Consequences of the Axiom of Choice Project - http://www.math.purdue.edu/~jer/cgi-bin/conseq.html Project to keep the book (also named in the title), describing forms related to the Axiom of Choice and their implications, updated.

Equivalence Relation - http://www.iscid.org/encyclopedia/Equivalence_Relation Encyclopedia entry on equivalence relations and their role in set theory.

Extending Set Theory - http://web.mit.edu/dmytro/www/NewSetTheory.htm 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.

Infinite Ink: The Continuum Hypothesis, by Nancy McGough - http://www.ii.com/math/ch/ History, mathematics, metamathematics, and philosophy of Cantor's Continuum Hypothesis.

Metamath Proof Explorer - http://www1.shore.net/~ndm/java/mm.html Over 3000 complete formal proofs deriving numbers and beyond from Zermelo-Fraenkel set theory axioms.

New Foundations - http://math.boisestate.edu/~holmes/holmes/nf.html Set theory introduced by W. V. O. Quine in 1937. This is a refinement of Russell's theory of types based on the observation that the types in Russell's theory look the same, as far as one can apparently prove.

Operational Set Theory - http://www.cis.syr.edu/~sanchis/operational.html Description, errata and reviews of a book by Luis E. Sanchis.

Programming with Sets - http://www.cs.nmsu.edu/~complog/sets/ Using set-theoretic primitives as a conceptual tool in programming, includes discussion of SETL and MIRANDA languages.

Set Theoretic Analysis. - http://www.math.wvu.edu/~kcies/STA/STA.html On a part of math where Set Theory, Topology and Analysis meet. Has surveys, preprints, conference announcements, book reviews and problems.

Set Theorists - http://www.cs.elte.hu/~kope/setad A list of email addresses and affiliations.

Set Theory - http://plato.stanford.edu/entries/set-theory/ Survey from the Stanford Encyclopedia of Philosophy by Thomas Jech.

Set Theory - http://www.math.niu.edu/~rusin/known-math/index/03EXX.html From Dave Rusin's "Known Math" collection.

Set Theory - http://www.math.ufl.edu/~jal/set_theory.html Directory of set theorists, maintained by Jean A. Larson.

Set Theory for the Working Mathematician - http://www.math.wvu.edu/~kcies/STbook.html Krzysztof Ciesielski, CUP (1997). Contents and preface.

Set Theory Page - http://www.cis.syr.edu/~sanchis/setory.html Collection of links related to set theory.

Shelah's Archive - http://shelah.logic.at/ Listing of all articles by Saharon Shelah, and links to many of them.

The Axiom of Choice - http://math.vanderbilt.edu/~schectex/ccc/choice.html This page gives a brief explanation of the Axiom of Choice and links to other related websites.

The Beginnings of Set Theory - http://www-groups.dcs.st-and.ac.uk/~history/HistTopics/Beginnings_of_set_theory.html MacTutor History of Mathematics topic.

The Future of Set Theory by S. Shelah - http://front.math.ucdavis.edu/math.LO/0211397 The text of a talk given around the millennium.

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