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Andre Joyal : Algebraic Set Theory (London Mathematical Society Lecture Note Series)
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Author: Andre Joyal
Title: Algebraic Set Theory (London Mathematical Society Lecture Note Series)
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Published in: English
Binding: Paperback
Pages: 132
Date: 1995-10-27
ISBN: 0521558301
Publisher: Cambridge University Press
Weight: 0.49 pounds
Size: 5.98 x 0.31 x 8.86 inches
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$22.20used
$29.88new
$36.99Amazon
Description: Product Description
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.
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