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Other titles in the London Mathematical Society Lecture Notes series:

Algebraic Set Theory (London Mathematical Society Lecture Note)

by and

Algebraic Set Theory (London Mathematical Society Lecture Note) Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

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.

Synopsis:

This book offers a new, algebraic, approach to set theory.

Description:

Includes bibliographical references (p. 117-119) and index.

Table of Contents

1. Axiomatic theory of small maps; 2. Zermelo-Fraenkel algebras; 3. Existence theorems; 4. Examples.

Product Details

ISBN:
9780521558303
Author:
Andre Joyal and Ieke Moerdijk
Publisher:
Cambridge University Press
With:
Joyal, A.
Author:
Moerdijk, Ieke
Author:
Moerdijk, Izak
Author:
Cassels, J. W. S.
Author:
Joyal, Andri
Author:
Joyal, A.
Author:
Joyal, Andre
Location:
Cambridge ;
Subject:
General
Subject:
Algebra
Subject:
Algebra - General
Subject:
Set Theory
Subject:
Combinatorics
Subject:
General Mathematics
Subject:
Science Reference-General
Subject:
Logic
Edition Description:
Trade paper
Series:
London Mathematical Society lecture note series ;
Series Volume:
33220
Publication Date:
20021231
Binding:
TRADE PAPER
Grade Level:
Professional and scholarly
Language:
English
Illustrations:
Y
Pages:
132
Dimensions:
9.00x6.07x.33 in. .43 lbs.

Related Subjects

History and Social Science » Economics » General
History and Social Science » Linguistics » General
Reference » Science Reference » General
Religion » Comparative Religion » General
Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » Foundations and Logic
Science and Mathematics » Mathematics » Logic and Philosophy
Science and Mathematics » Mathematics » Set Theory

Algebraic Set Theory (London Mathematical Society Lecture Note) New Trade Paper
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Product details 132 pages Cambridge University Press - English 9780521558303 Reviews:
"Synopsis" by , 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.
"Synopsis" by , This book offers a new, algebraic, approach to set theory.
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