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Encyclopaedia search for Set Theory
How to link to Set Theory
Set Theory Categories
Set Theory - Web Sites
 The Axiom of Choice
This page gives a brief explanation of the Axiom of Choice and links to other related websites.
url: math.vanderbilt.edu/~schectex/ccc/choice.html
Axiom of Choice and Continuum Hypothesis
Part of the Frequently Asked Questions in Mathematics.
url: db.uwaterloo.ca/~alopez-o/math-faq/mathtext/node34....
The Beginnings of Set Theory
MacTutor History of Mathematics topic.
url: www-groups.dcs.st-and.ac.uk/~history/HistTopics/Be....
Bounded Set Theory
A weak version of ordinary set theory using bounded quantification. Papers and software.
url: 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.
url: www.mathacademy.com/pr/prime/articles/cantor_theor....
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.
url: 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.
url: www.earlham.edu/~peters/writing/infapp.htm
Equivalence Relation
Encyclopedia entry on equivalence relations and their role in set theory.
url: www.iscid.org/encyclopedia/Equivalence_Relation
Extending Set Theory
Extends the language of set theory through restricted selfreference and through certain large cardinals. Also discusses higher order set theory and axiomatization through reflection principles.
url: web.mit.edu/dmytro/www/NewSetTheory.htm
The Future of Set Theory by S. Shelah
The text of a talk given around the millennium.
url: 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.
url: www.ii.com/math/ch/
Metamath Proof Explorer
Over 3000 complete formal proofs deriving numbers and beyond from ZermeloFraenkel set theory axioms.
url: 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.
url: 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".
url: hp.vector.co.jp/authors/VA011700/math/wardwww.htm
Operational Set Theory
Description, errata and reviews of a book by Luis E. Sanchis.
url: www.cis.syr.edu/~sanchis/operational.html
Programming with Sets
Using settheoretic primitives as a conceptual tool in programming, includes discussion of SETL and MIRANDA languages.
url: 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.
url: www.math.wvu.edu/~kcies/STA/STA.html
Set Theorists
A list of email addresses and affiliations.
url: www.cs.elte.hu/~kope/setad
Set Theory
Directory of set theorists, maintained by Jean A. Larson.
url: www.math.ufl.edu/~jal/set_theory.html
Set Theory
Survey from the Stanford Encyclopedia of Philosophy by Thomas Jech.
url: plato.stanford.edu/entries/set-theory/
Set Theory
From Dave Rusin's "Known Math" collection.
url: www.math.niu.edu/~rusin/known-math/index/03EXX.htm....
Set Theory for the Working Mathematician
Krzysztof Ciesielski, CUP (1997). Contents and preface.
url: www.math.wvu.edu/~kcies/STbook.html
Set Theory Page
Collection of links related to set theory.
url: 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]
url: www.logicandlight.com/projects/Infinity/SetsAndSiz....
Shelah's Archive
Listing of all articles by Saharon Shelah, and links to many of them.
url: shelah.logic.at/
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