Web Directory

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

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

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

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

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

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

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

» Extending 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.
   http://web.mit.edu/dmytro/www/NewSetTheory.htm

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

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

» New Foundations
   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.
   http://math.boisestate.edu/~holmes/holmes/nf.html

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

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

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

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

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

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

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

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

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

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

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