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 such 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 ...
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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 such 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 realisability 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 some background in categorical logic.
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Add this copy of Lms: 220 Algebraic Set Theory (London Mathematical to cart. $64.24, good condition, Sold by SELL BOOKS LTD rated 5.0 out of 5 stars, ships from London, LONDON, UNITED KINGDOM, published 2008 by Cambridge University Press.
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Add this copy of Algebraic Set Theory (London Mathematical Society to cart. $104.67, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 2008 by Cambridge University Press.
Add this copy of Algebraic Set Theory to cart. $69.23, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 1995 by Cambridge University Press.
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New. Print on demand Trade paperback (US). Contains: Unspecified. London Mathematical Society Lecture Note Series . Includes unspecified. Intended for professional and scholarly audience.
