Directory Sites

  • The Mathematics of Set Theory

    Detailed description of parts of introductory set theory.

    www.jboden.demon.co.uk

  • Set Theory

    Survey from the Stanford Encyclopedia of Philosophy by Thomas Jech.

    plato.stanford.edu

  • Axiom of Choice and Continuum Hypothesis

    Part of the Frequently Asked Questions in Mathematics.

    db.uwaterloo.ca

  • The Future of Set Theory by S. Shelah

    The text of a talk given around the millennium.

    front.math.ucdavis.edu

  • Shelah's Archive

    Listing of all articles by Saharon Shelah, and links to many of them.

    shelah.logic.at

  • 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.

    www.math.purdue.edu

  • Equivalence Relation

    Encyclopedia entry on equivalence relations and their role in set theory.

    www.iscid.org

  • Sets and Their Sizes

    An alternative to Cantor's theory of cardinality. Dissertation by Fred M. Katz.

    arxiv.org

  • 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.

    web.mit.edu

  • 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".

    hp.vector.co.jp

  • Metamath Proof Explorer

    Over 3000 complete formal proofs deriving numbers and beyond from Zermelo-Fraenkel set theory axioms.

    www1.shore.net

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