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Top: Science: Math: Logic_and_Foundations: Set_Theory:
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» The Axiom of Choice - This page gives a brief explanation of the Axiom of Choice and links to other related websites.
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» Bounded Set Theory - A weak version of ordinary set theory using bounded quantification. Papers and software.
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» Cantor's Theorem - Article in the Platonic Realms, describing Cantor's diagonal argument that showed that 'infinite integers' can be ordered.
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» 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.
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» Metamath Proof Explorer - Over 3000 complete formal proofs deriving numbers and beyond from Zermelo-Fraenkel set theory axioms.
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» 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.
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» Programming with Sets - Using set-theoretic primitives as a conceptual tool in programming, includes discussion of SETL and MIRANDA languages.
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» Set Theoretic Analysis. - On a part of math where Set Theory, Topology and Analysis meet. Has surveys, preprints, conference announcements, book reviews and problems.
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» Set Theory - Directory of set theorists, maintained by Jean A. Larson.
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» Set Theory - Survey from the Stanford Encyclopedia of Philosophy by Thomas Jech.
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» Set Theory - From Dave Rusin's "Known Math" collection.
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» Shelah's Archive - Listing of all articles by Saharon Shelah, and links to many of them.
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