Set Theory with a Universal Set Exploring an Untyped Universe [Hardcover]

Increasing interest in set theory, particularly the possibility of a set of all sets ( universal set ), has been stimulated by its relevance to computer science. This new edition, drawing heavily on Quine's theories as introduced inNew Foundations, provides an accessible introduction of universal set theory to mathematicians, logicians, and philosophers. Included are expanded accounts of the set theories of Church, Oswald and Mitchell, with descriptions of permutation models and extensions that preserve power

1. Introduction
2. NF and related systems
3. Permutation models
4. Church-Oswald models
5. Open problems
6. Bibliography

...a lively introduction to the current research... --Modern Logic

The best survey of its field available, with an excellent bibliography. --Journal of Symbolic Logic