Set Theory

Web Directory : Science : Math : Logic and Foundations : Set Theory
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    25 pages found in Set Theory:

    The Axiom of Choice
    This page gives a brief explanation of the Axiom of Choice and links to other related websites.
    http://math.vanderbilt.edu/~schectex/ccc/choice.html

    Axiom of Choice and Continuum Hypothesis
    Part of the Frequently Asked Questions in Mathematics.
    http://db.uwaterloo.ca/~alopez-o/math-faq/mathtext/node34.html

    The Beginnings of Set Theory
    MacTutor History of Mathematics topic.
    http://www-groups.dcs.st-and.ac.uk/~history/HistTopics/Beginnings_of_set_theory.html

    Bounded Set Theory
    A weak version of ordinary set theory using bounded quantification. Papers and software.
    http://www.botik.ru/~logic/bst/bst.html

    Cantor's Theorem
    Article in the Platonic Realms, describing Cantor's diagonal argument that showed that 'infinite integers' can be ordered.
    http://www.mathacademy.com/pr/prime/articles/cantor_theorem/

    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.
    http://www.math.purdue.edu/~jer/cgi-bin/conseq.html

    A Crash Course in the Mathematics of Infinite Sets
    A introductory guide for philosophers by Peter Suber, explaining the use of infinitary set theory.
    http://www.earlham.edu/~peters/writing/infapp.htm

    Equivalence Relation
    Encyclopedia entry on equivalence relations and their role in set theory.
    http://www.iscid.org/encyclopedia/Equivalence_Relation

    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.
    http://web.mit.edu/dmytro/www/NewSetTheory.htm

    The Future of Set Theory by S. Shelah
    The text of a talk given around the millennium.
    http://front.math.ucdavis.edu/math.LO/0211397

    Infinite Ink: The Continuum Hypothesis, by Nancy McGough
    History, mathematics, metamathematics, and philosophy of Cantor's Continuum Hypothesis.
    http://www.ii.com/math/ch/

    Metamath Proof Explorer
    Over 3000 complete formal proofs deriving numbers and beyond from Zermelo-Fraenkel set theory axioms.
    http://www1.shore.net/~ndm/java/mm.html

    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.
    http://math.boisestate.edu/~holmes/holmes/nf.html

    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".
    http://hp.vector.co.jp/authors/VA011700/math/wardwww.htm

    Operational Set Theory
    Description, errata and reviews of a book by Luis E. Sanchis.
    http://www.cis.syr.edu/~sanchis/operational.html

    Programming with Sets
    Using set-theoretic primitives as a conceptual tool in programming, includes discussion of SETL and MIRANDA languages.
    http://www.cs.nmsu.edu/~complog/sets/

    Set Theoretic Analysis.
    On a part of math where Set Theory, Topology and Analysis meet. Has surveys, preprints, conference announcements, book reviews and problems.
    http://www.math.wvu.edu/~kcies/STA/STA.html

    Set Theorists
    A list of email addresses and affiliations.
    http://www.cs.elte.hu/~kope/setad

    Set Theory
    Directory of set theorists, maintained by Jean A. Larson.
    http://www.math.ufl.edu/~jal/set_theory.html

    Set Theory
    Survey from the Stanford Encyclopedia of Philosophy by Thomas Jech.
    http://plato.stanford.edu/entries/set-theory/

    Set Theory
    From Dave Rusin's "Known Math" collection.
    http://www.math.niu.edu/~rusin/known-math/index/03EXX.html

    Set Theory for the Working Mathematician
    Krzysztof Ciesielski, CUP (1997). Contents and preface.
    http://www.math.wvu.edu/~kcies/STbook.html

    Set Theory Page
    Collection of links related to set theory.
    http://www.cis.syr.edu/~sanchis/setory.html

    Sets and Their Sizes
    An alternative to Cantor's theory of cardinality. Dissertation by Fred M. Katz. [PDF]
    http://www.logicandlight.com/projects/Infinity/SetsAndSizes.pdf

    Shelah's Archive
    Listing of all articles by Saharon Shelah, and links to many of them.
    http://shelah.logic.at/

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