This page contains the archive of Saharon Shelah's mathematical papers. Professor Shelah is a mathematician working at the Hebrew University of Jerusalem and Rutgers University in New Jersey, USA.

Axiom of Choice ...

A history of set theory Algebra index History Topics Index The history of set theory is rather different from the history of most other areas of mathematics. For most areas a long process can usually be traced in which ideas evolve until an ultimate flash of inspiration, often by a number of mathematicians almost simultaneously, produces a discovery of major importance. Set theory however is ...

History, mathematics, metamathematics, and philosophy of Cantor's Continuum Hypothesis ...

Links to homepages of set theorists.

Links to that contain material related to set theory.

Published in the St. John's Review, XLIV, 2 (1998) 35-59. Copyright 1998, Peter Suber. This crash course is designed to stand alone. But it also functions as the appendix to my essay, Infinite Reflections. A Crash Course in the Mathematics Of Infinite Sets Peter Suber, Philosophy Department, Earlham College Don't be surprised if this is easier than you thought. Set theory requires no algebra ...

ABOUT: POINTERS: 03E: Set theory Introduction Naive set theory considers elementary properties of the union and intersection operators -- Venn diagrams, the DeMorgan laws, elementary counting techniques such as the inclusion-exclusion principle, partially ordered sets, and so on. This is perhaps as much of set theory as the typical mathematician uses. Indeed, one may construct the natural ...

Set Theoretic Analysis Web Page.

BOUNDED SET THEORY: Home Page Bounded Set Theory (BST) is a weak version of the ordinary set theory. Its main feature is paying main attention to using bounded quantification (as in the ordinary everyday mathematical practice) and other analogous bounded constructs. The language of this set theory, called DELTA, allows to define both set-theoretic (bounded) formulas and operations. The main ...

Two hyper-textbooks for students ...

Set Theory for the Working Mathematician by Krzysztof Ciesielski London Math Society Student Texts 39 Cambridge University Press, 1997. Hardback ISBN 0-521-59441-3, price $59.95; paperback ISBN 0-521-59465-0, price $19.95. To order call 1-800-872-7423 or link to Cambridge University Press order page. To see Preface click here. Table of Contents Preface vii I Basics of set theory 1 1 Axiomatic ...

Cantor's Theorem of Infinite Sets, from the Platonic Realms Interactive Math Encyclopedia.

OPERATIONAL SET THEORY TITLE:Set Theory - An Operational Approach AUTHOR: Luis E. Sanchis PUBLISHER:Gordon and Breach Publishers DESCRIPTION REVIEW 1(COMPUTING REVIEWS) REVIEW 2(MATHEMATICAL REVIEW) REVIEW 3(JOURNAL OF SYMBOLIC LOGIC) REVIEW 4(ZENTRALBLATT MAT) COMPLETENESS IN OPERATIONAL SET THEORY METAINDUCTION IN OPERATIONAL SET THEORY CORRECTIONS PUBLISHER AMAZON BOOKS HOME ...