| Directory > Science > Math > Logic and Foundations > Set Theory Equivalence Relation
Encyclopedia entry on equivalence relations and their role in set theory.
http://www.iscid.org/encyclopedia/Equivalence_Relation
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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
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Shelah's Archive
Listing of all articles by Saharon Shelah, and links to many of them.
http://shelah.logic.at/
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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
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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
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Metamath Proof Explorer
Over 3000 complete formal proofs deriving numbers and beyond from Zermelo-Fraenkel set theory
axioms.
http://metamath.org
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Set Theory
Survey from the Stanford Encyclopedia of Philosophy by Thomas Jech.
http://plato.stanford.edu/entries/set-theory/
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The Mathematics of Set Theory
Detailed description of parts of introductory set theory.
http://www.jboden.demon.co.uk/
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Set Theory
From Dave Rusin's "Known Math" collection.
http://www.math.niu.edu/~rusin/known-math/index/03EXX.html
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Cantor's Theorem
Article in the Platonic Realms, describing Cantor's diagonal argument that proved that infinity
comes in many different 'sizes'.
http://www.mathacademy.com/pr/prime/articles/cantor_theorem/
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Sets and Their Sizes
An alternative to Cantor's theory of cardinality. Dissertation by Fred M. Katz in PDF.
http://www.logicandlight.com/projects/Infinity
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Operational Set Theory
Description, errata and reviews of a book by Luis E. Sanchis.
http://www.cis.syr.edu/~sanchis/operational.html
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Set Theory for the Working Mathematician
Krzysztof Ciesielski, CUP (1997). Contents and preface.
http://www.math.wvu.edu/~kcies/STbook.html
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Set Theorists
A list of email addresses and affiliations.
http://www.cs.elte.hu/~kope/setad
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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.
http://www.math.wvu.edu/~kcies/STA/STA.html
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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/
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Issues in Commonsense Set Theory
Paper by Müjdat Pakkan and Varol Akman
http://www.cs.bilkent.edu.tr/~akman/jour-papers/air/air.html
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Bounded Set Theory
A weak version of ordinary set theory using bounded quantification. Papers and software.
http://www.botik.ru/~logic/bst/bst.html
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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.
http://math.boisestate.edu/~holmes/holmes/nf.html
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Set Theory People
Directory of set theorists.
http://cid.unomaha.edu/~aroslano/people.html
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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.
http://www.earlham.edu/~peters/writing/infapp.htm
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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
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Set Theory Page
Collection of links related to set theory.
http://www.cis.syr.edu/~sanchis/setory.html
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Set Theory
Directory of set theorists, maintained by Jean A. Larson.
http://www.math.ufl.edu/~jal/set_theory.html
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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.
http://math.vanderbilt.edu/~schectex/ccc/choice.html
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Infinite Ink: The Continuum Hypothesis, by Nancy McGough
History, mathematics, metamathematics, and philosophy of Cantor's Continuum Hypothesis
http://www.ii.com/math/ch/
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