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the entire directory
only in Logic_and_Foundations/Set_Theory
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Logic and Foundations
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Set Theory
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Axiom of Choice and Continuum Hypothesis
 Part of the Frequently Asked Questions in Mathematics.
The Beginnings of Set Theory
 MacTutor History of Mathematics topic.
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.
A Crash Course in the Mathematics of Infinite Sets
 A introductory guide for philosophers by Peter Suber, explaining the use of infinitary set theory.
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.
The Future of Set Theory by S. Shelah
 The text of a talk given around the millennium.
Infinite Ink: The Continuum Hypothesis, by Nancy McGough
 History, mathematics, metamathematics, and philosophy of Cantor's Continuum Hypothesis.
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.
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".
Programming with Sets
 Using settheoretic 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 for the Working Mathematician
 Krzysztof Ciesielski, CUP (1997). Contents and preface.
Shelah's Archive
 Listing of all articles by Saharon Shelah, and links to many of them.
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Last update: June 10, 2015 at 9:15:06 UTC 
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