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### Sites 17

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 self-reference 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 set-theoretic 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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