Algebraic Set Theory (London Mathematical Society Lecture Note Series) Book + PRICE WATCH * Amazon pricing is not included in price watch

Algebraic Set Theory (London Mathematical Society Lecture Note Series) Book

Offering a new algebraic approach to set theory, this text introduces a particular kind of algebra, the Zermelo-Fraenkel algebras, which arise from the familiar axioms of Zermelo-Fraenkel set theory. Furthermore, it explicitly constructs such algebras using the theory of bisimulations.Read More

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  • 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.

  • 0521558301
  • 9780521558303
  • Andri Joyal, Ieke Moerdijk
  • 14 September 1995
  • Cambridge University Press
  • Paperback (Book)
  • 132
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