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Algebraic Set Theory (Electronic book text)
Algebraic Set Theory (Electronic book text): Andri Joyal, Ieke Moerdijk
Algebraic Set Theory (Electronic book text): Andri Joyal, Ieke Moerdijk

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Algebraic Set Theory (Electronic book text)

Andri Joyal, Ieke Moerdijk

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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.

General

Imprint: Cambridge UniversityPress
Country of origin: United States
Release date: May 2014
Authors: Andri Joyal • Ieke Moerdijk
Format: Electronic book text
ISBN-13: 978-1-299-40495-3
Barcode: 9781299404953
Categories: Promotions
Books > Science & Mathematics > Mathematics > Mathematical foundations > Mathematical logic
LSN: 1-299-40495-2

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