Ieke Moerdijk

View Larger
Image

Algebraic Set Theory

Ieke Moerdijk; Andre Joyal

Synopsis:
This book offers a new algebraic approach to set theory. The authors introduce a particular kind of algebra, the Zermelo-Fraenkel algebras, which arise from the familiar axioms of Zermelo-Fraenkel set theory. Furthermore, the authors explicitly construct these algebras using the theory of bisimulations. Their approach is completely constructive, and contains both intuitionistic set theory and topos theory. In particular it provides a uniform description of various constructions of the cumulative hierarchy of sets in forcing models, sheaf models and realizability models. Graduate students and researchers in mathematical logic, category theory and computer science should find this book of great interest, and it should be accessible to anyone with a background in categorical logic.

More About this Book | View All Listings | View Collectible Listings

Other editions: Hardcover - 2003, Softcover - 2000, 1992, 1991, Hardcover - 1991