Subdirectories of Set Theory:
Websites on Set Theory: The Axiom of Choice This page gives a brief explanation of the Axiom of Choice and links to other related websites. Axiom of Choice and Continuum Hypothesis Part of the Frequently Asked Questions in Mathematics. The Beginnings of Set Theory MacTutor History of Mathematics topic. Bounded Set Theory A weak version of ordinary set theory using bounded quantification. Papers and software. Cantor's 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 Project to keep the book (also named in the title), describing forms related to the Axiom of Choice and their implications, updated. A Crash Course in the Mathematics of Infinite Sets A introductory guide for philosophers by Peter Suber, explaining the use of infinitary set theory. 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. The Future of Set Theory by S. Shelah The text of a talk given around the millennium. 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. 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". 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 From Dave Rusin's "Known Math" collection. Set Theory From Dave Rusin's "Known Math" collection. Set Theory From Dave Rusin's "Known Math" collection. Set Theory for the Working Mathematician Krzysztof Ciesielski, CUP (1997). Contents and preface. Set Theory Page Collection of links related to set theory. Sets and Their Sizes An alternative to Cantor's theory of cardinality. Dissertation by Fred M. Katz. [PDF] Shelah's Archive Listing of all articles by Saharon Shelah, and links to many of them.
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