Set Theory Logic and Foundations Math

On a part of math where Set Theory, Topology and Analysis meet. Has surveys, preprints, conference announcements, book reviews and problems.

• Set Theory Page - Collection of links related to set theory.
• The Axiom of Choice - This page gives a brief explanation of the Axiom of Choice and links to other related websites.
• The Future of Set Theory by S. Shelah - The text of a talk given around the logic and foundations millennium.
• The Beginnings of Set Theory - MacTutor History of Mathematics topic.
• New Foundations - Set theory introduced by W. V. O. Quine in 1937. math This is a refinement of Russell\\'s theory of types based math on the observation that the types in Russell\\'s theory math look the same, as far as one can apparently prove.
• Bounded Set Theory - A weak version of ordinary set theory using bounded quantification. set theory Papers and software.
• Shelah's Archive - Listing of all articles by Saharon Shelah, and set theory links math to many of them.
• Consequences of the Axiom of Choice Project - Project to keep the book (also named in the title), set theory describing forms related to the Axiom of Choice and their set theory implications, updated.
• A New System of Axioms Instead of ZF - The page claims that "the axioms shown below have the logic and foundations contents that should overturn the set theory of today".
• Metamath Proof Explorer - Over 3000 complete formal proofs deriving numbers and set theory beyond logic and foundations from Zermelo-Fraenkel set theory axioms.
• Axiom of Choice and Continuum Hypothesis - Part of the Frequently Asked Questions in Mathematics.
• Cantor's Theorem - Article in the Platonic Realms, describing Cantor\\'s diagonal argument that logic and foundations showed that \'infinite integers\' can be ordered.
• Infinite Ink: The Continuum Hypothesis, by Nancy McGough - History, mathematics, metamathematics, and philosophy of Cantor\\'s Continuum logic and foundations set theory Hypothesis.
• Set Theorists - A list of email addresses and affiliations.
• A Crash Course in the Mathematics of Infinite Sets - A introductory guide for philosophers by Peter Suber, math explaining the math use of infinitary set theory.
• Extending Set Theory - Extends the language of set theory through restricted math self-reference and set theory through certain large cardinals. Also discusses math higher order set theory set theory and axiomatization through reflection math principles.
• Set Theory - Survey from the Stanford Encyclopedia of Philosophy by Thomas Jech.
• Equivalence Relation - Encyclopedia entry on equivalence relations and their role logic and foundations math in set theory.
• Operational Set Theory - Description, errata and reviews of a book by Luis E. Sanchis.
• Programming with Sets - Using set-theoretic primitives as a conceptual tool in set theory programming, includes discussion of SETL and MIRANDA languages.
• Set Theoretic Analysis. - On a part of math where Set Theory, Topology and set theory Analysis meet. Has surveys, preprints, conference announcements, book reviews set theory and problems.
• Set Theory for the Working Mathematician - Krzysztof Ciesielski, CUP (1997). Contents and preface.

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