Set Theory with a Universal Set 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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T. E. Forster 作者

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1995-8 出版日期

176 页数

$ 163.85 价格

丛书系列

9780198514770 图书编码

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Set Theory with a Universal Set 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Set Theory with a Universal Set 在线电子书图书描述

Set theory is concerned with the foundation of mathematics. In the original formulations of set theory, there were paradoxes contained in the idea of the "set of all sets". Current standard theory (Zermelo-Fraenkel) avoids these paradoxes by restricting the way sets may be formed by other sets, specifically to disallow the possibility of forming the set of all sets. In the 1930s, Quine proposed a different form of set theory in which the set of all sets - the universal set - is allowed, but other restrictions are placed on these axioms. Since then, the steady interest expressed in these non-standard set theories has been boosted by their relevance to computer science. The second edition still concentrates largely on Quine's New Foundations, reflecting the author's belief that this provides the richest and most mysterious of the various systems dealing with set theories with a universal set. Also included is an expanded and completely revised account of the set theories of Church-Oswald and Mitchell, with descriptions of permutation models and extensions that preserve power sets. Dr Foster here presents the reader with a useful and readable introduction for those interested in this topic, and a reference work for those already involved in this area.

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