Set TheoryDirectory > Science > Math > Logic_and_Foundations > Set Theory
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History, mathematics, metamathematics, and philosophy of Cantor's Continuum Hypothesis. |
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. |
Listing of all articles by Saharon Shelah, and links to many of them. |
Over 3000 complete formal proofs deriving numbers and beyond from Zermelo-Fraenkel set theory axioms. |
Article in the Platonic Realms, describing Cantor's diagonal argument that showed that 'infinite integers' can be ordered. |
Survey from the Stanford Encyclopedia of Philosophy by Thomas Jech. |
This page gives a brief explanation of the Axiom of Choice and links to other related websites. |
Project to keep the book (also named in the title), describing forms related to the Axiom of Choice and their implications, updated. |
From Dave Rusin's "Known Math" collection. |
Encyclopedia entry on equivalence relations and their role in set theory. |
Krzysztof Ciesielski, CUP (1997). Contents and preface. |
Description, errata and reviews of a book by Luis E. Sanchis. |
On a part of math where Set Theory, Topology and Analysis meet. Has surveys, preprints, conference announcements, book reviews and problems. |
Directory of set theorists, maintained by Jean A. Larson. |
Collection of links related to set theory. |
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. |
Part of the Frequently Asked Questions in Mathematics. |
The text of a talk given around the millennium. |
A list of email addresses and affiliations. |
The page claims that "the axioms shown below have the contents that should overturn the set theory of today". |
Using set-theoretic primitives as a conceptual tool in programming, includes discussion of SETL and MIRANDA languages. |
MacTutor History of Mathematics topic. |
A introductory guide for philosophers by Peter Suber, explaining the use of infinitary set theory. |
A weak version of ordinary set theory using bounded quantification. Papers and software. |
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