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Algebraic Set Theory

by Izak Moerdijk , Andre Joyal , Andri Joyal
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Current price ₹4,604.00
Original price ₹7,083.00
Original price ₹7,083.00
Original price ₹7,083.00
(-35%)
₹4,604.00
Current price ₹4,604.00

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Book cover type: Paperback
  • ISBN13: 9780521558303
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press
  • Publication Date: N/A
  • Pages: 132
  • Original Price: GBP 57.0
  • Language: English
  • Edition: N/A
  • Item Weight: 195 grams
  • BISAC Subject(s): General

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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