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Set Theory


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6 Listings - DR (10/10)6 Listings - DR (10/10) Infinite Ink: The Continuum Hypothesis, by Nancy McGough - http://www.ii.com/math/ch/
History, mathematics, metamathematics, and philosophy of Cantor's Continuum Hypothesis.
1,235 Listings - DR (8/10)1,235 Listings - DR (8/10) Extending Set Theory - http://web.mit.edu/dmytro/www/NewSetTheory.htm
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.
8 Listings - DR (7/10)8 Listings - DR (7/10) Shelah's Archive - http://shelah.logic.at/
Listing of all articles by Saharon Shelah, and links to many of them.
20 Listings - DR (7/10)20 Listings - DR (7/10) Metamath Proof Explorer - http://www1.shore.net/~ndm/java/mm.html
Over 3000 complete formal proofs deriving numbers and beyond from Zermelo-Fraenkel set theory axioms.
21 Listings - DR (6/10)21 Listings - DR (6/10) Cantor's Theorem - http://www.mathacademy.com/pr/prime/articles/cantor_theorem/
Article in the Platonic Realms, describing Cantor's diagonal argument that showed that 'infinite integers' can be ordered.
1,861 Listings - DR (6/10)1,861 Listings - DR (6/10) Set Theory - http://plato.stanford.edu/entries/set-theory/
Survey from the Stanford Encyclopedia of Philosophy by Thomas Jech.
278 Listings - DR (6/10)278 Listings - DR (6/10) The Axiom of Choice - http://math.vanderbilt.edu/~schectex/ccc/choice.html
This page gives a brief explanation of the Axiom of Choice and links to other related websites.
524 Listings - DR (6/10)524 Listings - DR (6/10) Consequences of the Axiom of Choice Project - http://www.math.purdue.edu/~jer/cgi-bin/conseq.html
Project to keep the book (also named in the title), describing forms related to the Axiom of Choice and their implications, updated.
201 Listings - DR (5/10)201 Listings - DR (5/10) Set Theory - http://www.math.niu.edu/~rusin/known-math/index/03EXX.html
From Dave Rusin's "Known Math" collection.
16 Listings - DR (4/10)16 Listings - DR (4/10) Equivalence Relation - http://www.iscid.org/encyclopedia/Equivalence_Relation
Encyclopedia entry on equivalence relations and their role in set theory.
164 Listings - DR (4/10)164 Listings - DR (4/10) Set Theory for the Working Mathematician - http://www.math.wvu.edu/~kcies/STbook.html
Krzysztof Ciesielski, CUP (1997). Contents and preface.
209 Listings - DR (4/10)209 Listings - DR (4/10) Operational Set Theory - http://www.cis.syr.edu/~sanchis/operational.html
Description, errata and reviews of a book by Luis E. Sanchis.
164 Listings - DR (4/10)164 Listings - DR (4/10) Set Theoretic Analysis. - http://www.math.wvu.edu/~kcies/STA/STA.html
On a part of math where Set Theory, Topology and Analysis meet. Has surveys, preprints, conference announcements, book reviews and problems.
709 Listings - DR (4/10)709 Listings - DR (4/10) Set Theory - http://www.math.ufl.edu/~jal/set_theory.html
Directory of set theorists, maintained by Jean A. Larson.
209 Listings - DR (4/10)209 Listings - DR (4/10) Set Theory Page - http://www.cis.syr.edu/~sanchis/setory.html
Collection of links related to set theory.
72 Listings - DR (3/10)72 Listings - DR (3/10) New Foundations - http://math.boisestate.edu/~holmes/holmes/nf.html
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.
315 Listings - DR (2/10)315 Listings - DR (2/10) Axiom of Choice and Continuum Hypothesis - http://db.uwaterloo.ca/~alopez-o/math-faq/mathtext/node34.html
Part of the Frequently Asked Questions in Mathematics.
444 Listings - DR (2/10)444 Listings - DR (2/10) The Future of Set Theory by S. Shelah - http://front.math.ucdavis.edu/math.LO/0211397
The text of a talk given around the millennium.
61 Listings - DR (1/10)61 Listings - DR (1/10) Set Theorists - http://www.cs.elte.hu/~kope/setad
A list of email addresses and affiliations.
76 Listings - DR (0/10)76 Listings - DR (0/10) A New System of Axioms Instead of ZF - http://hp.vector.co.jp/authors/VA011700/math/wardwww.htm
The page claims that "the axioms shown below have the contents that should overturn the set theory of today".
151 Listings - DR (0/10)151 Listings - DR (0/10) Programming with Sets - http://www.cs.nmsu.edu/~complog/sets/
Using set-theoretic primitives as a conceptual tool in programming, includes discussion of SETL and MIRANDA languages.
266 Listings - DR (0/10)266 Listings - DR (0/10) The Beginnings of Set Theory - http://www-groups.dcs.st-and.ac.uk/~history/HistTopics/Beginnings_of_set_theory.html
MacTutor History of Mathematics topic.
70 Listings - DR (0/10)70 Listings - DR (0/10) A Crash Course in the Mathematics of Infinite Sets - http://www.earlham.edu/~peters/writing/infapp.htm
A introductory guide for philosophers by Peter Suber, explaining the use of infinitary set theory.
8 Listings - DR (0/10)8 Listings - DR (0/10) Bounded Set Theory - http://www.botik.ru/~logic/bst/bst.html
A weak version of ordinary set theory using bounded quantification. Papers and software.

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