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A Crash Course in the Mathematics of Infinite Sets: A introductory guide for philosophers by Peter Suber, explaining the use of infinitary set theory.
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".
Axiom of Choice and Continuum Hypothesis: Part of the Frequently Asked Questions in Mathematics.
Bounded Set Theory: A weak version of ordinary set theory using bounded quantification. Papers and software.
Cantor's Donut Paradox: Reassessing Uncountability and the Continuum Hypothesis with Reference to a Novel Geometrical Analogue of the Aleph Series.
Cantor's Theorem: Article in the Platonic Realms, describing Cantor's diagonal argument that proved that infinity comes in many different 'sizes'.
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.
Equivalence Relation: Encyclopedia entry on equivalence relations and their role in set theory.
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.
Infinite Ink: The Continuum Hypothesis, by Nancy McGough: History, mathematics, metamathematics, and philosophy of Cantor's Continuum Hypothesis
Metamath Proof Explorer: Over 3000 complete formal proofs deriving numbers and beyond from Zermelo-Fraenkel set theory axioms.
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.
Operational Set Theory: Description, errata and reviews of a book by Luis E. Sanchis.
Programming with Sets: Using set-theoretic primitives as a conceptual tool in programming, includes discussion of SETL and MIRANDA languages.
Set Theoretic Analysis.: On a part of math where Set Theory, Topology and Analysis meet. Has surveys, preprints, conference announcements, book reviews and problems.
Set Theorists: A list of email addresses and affiliations.
Set Theory for the Working Mathematician: Krzysztof Ciesielski, CUP (1997). Contents and preface.
Set Theory Page: Collection of links related to set theory.
Set Theory: Survey from the Stanford Encyclopedia of Philosophy by Thomas Jech.
Set Theory: From Dave Rusin's "Known Math" collection.
Set Theory: Directory of set theorists, maintained by Jean A. Larson.
Sets and Their Sizes: An alternative to Cantor's theory of cardinality. Dissertation by Fred M. Katz.
Shelah's Archive: Listing of all articles by Saharon Shelah, and links to many of them.
The Axiom of Choice: This page gives a brief explanation of the Axiom of Choice and links to other related websites.
The Beginnings of Set Theory: MacTutor History of Mathematics topic.
The Future of Set Theory by S. Shelah: The text of a talk given around the millennium.
The Mathematics of Set Theory: Detailed description of parts of introductory set theory.

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