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Algebraic Set Theory 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Moerdijk, Izak; Joyal, Andre; Joyal, Andri 作者

译者

1995-9 出版日期

132 页数

$ 51.98 价格

London Mathematical Society Lecture Note Series 丛书系列

9780521558303 图书编码

Algebraic Set Theory 在线电子书图书标签: 数理逻辑 nemlophics

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Algebraic Set Theory 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Algebraic Set Theory 在线电子书图书描述

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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