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The Mathematics of Logic 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Kaye, Richard 作者

Cambridge Univ Pr

译者

2007-7 出版日期

204 页数

415.00元价格

Pap

丛书系列

9780521708777 图书编码

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The Mathematics of Logic 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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The Mathematics of Logic 在线电子书图书描述

This undergraduate textbook covers the key material for a typical first course in logic, in particular presenting a full mathematical account of the most important result in logic, the Completeness Theorem for first-order logic. Looking at a series of interesting systems, increasing in complexity, then proving and discussing the Completeness Theorem for each, the author ensures that the number of new concepts to be absorbed at each stage is manageable, whilst providing lively mathematical applications throughout. Unfamiliar terminology is kept to a minimum, no background in formal set-theory is required, and the book contains proofs of all the required set theoretical results. The reader is taken on a journey starting with Konig's Lemma, and progressing via order relations, Zorn's Lemma, Boolean algebras, and propositional logic, to completeness and compactness of first-order logic. As applications of the work on first-order logic, two final chapters provide introductions to model theory and nonstandard analysis.

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