Set Theory
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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 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. » 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 Survey from the Stanford Encyclopedia of Philosophy by Thomas Jech. » Set Theory Page Collection of links related to set theory. » Set Theory for the Working Mathematician Krzysztof Ciesielski, CUP (1997). Contents and preface. » 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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Last Updated: 2006-12-31 03:59:30
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