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Explore: Set Theory, Logic and Foundations

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This page was last updated on October 7th, 2008
Set Theory (from Logic and Foundations)
Canadian Content » Science » Math » Logic_and_Foundations » Set_Theory »
Programming with SetsProgramming with Sets
Using set-theoretic primitives as a conceptual tool in programming, includes discussion of SETL and MIRANDA languages.
The Future of Set Theory by S. ShelahThe Future of Set Theory by S. Shelah
The text of a talk given around the millennium.
Metamath Proof ExplorerMetamath Proof Explorer
Over 3000 complete formal proofs deriving numbers and beyond from Zermelo-Fraenkel set theory axioms.
Set Theoretic Analysis.Set Theoretic Analysis.
On a part of math where Set Theory, Topology and Analysis meet. Has surveys, preprints, conference announcements, book reviews and problems.
Consequences of the Axiom of Choice ProjectConsequences 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.
New FoundationsNew 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.
Set Theory PageSet Theory Page
Collection of links related to set theory.
Set Theory for the Working MathematicianSet Theory for the Working Mathematician
Krzysztof Ciesielski, CUP (1997). Contents and preface.
Equivalence RelationEquivalence Relation
Encyclopedia entry on equivalence relations and their role in set theory.
Bounded Set TheoryBounded Set Theory
A weak version of ordinary set theory using bounded quantification. Papers and software.
Cantor's Donut ParadoxCantor's Donut Paradox
Reassessing Uncountability and the Continuum Hypothesis with Reference to a Novel Geometrical Analogue of the Aleph Series.
Cantor's TheoremCantor's Theorem
Article in the Platonic Realms, describing Cantor's diagonal argument that proved that infinity comes in many different 'sizes'.
Set TheorySet Theory
From Dave Rusin's "Known Math" collection.
Infinite Ink: The Continuum Hypothesis, by Nancy McGoughInfinite Ink: The Continuum Hypothesis, by Nancy McGough
History, mathematics, metamathematics, and philosophy of Cantor's Continuum Hypothesis
Set TheoristsSet Theorists
A list of email addresses and affiliations.
The Mathematics of Set TheoryThe Mathematics of Set Theory
Detailed description of parts of introductory set theory.
Axiom of Choice and Continuum HypothesisAxiom of Choice and Continuum Hypothesis
Part of the Frequently Asked Questions in Mathematics.
Set Theory PeopleSet Theory People
Directory of set theorists.
Shelah's ArchiveShelah's Archive
Listing of all articles by Saharon Shelah, and links to many of them.
Operational Set TheoryOperational Set Theory
Description, errata and reviews of a book by Luis E. Sanchis.
The Beginnings of Set TheoryThe Beginnings of Set Theory
MacTutor History of Mathematics topic.
The Axiom of ChoiceThe Axiom of Choice
This page gives a brief explanation of the Axiom of Choice and links to other related websites.
A Crash Course in the Mathematics of Infinite SetsA Crash Course in the Mathematics of Infinite Sets
A introductory guide for philosophers by Peter Suber, explaining the use of infinitary set theory.
Issues in Commonsense Set TheoryIssues in Commonsense Set Theory
Paper by Müjdat Pakkan and Varol Akman

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