The Mathematics of Logic 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Kaye, Richard 作者

譯者

2007-7 出版日期

206 頁數

$ 143.51 價格

叢書系列

9780521882194 圖書編碼

The Mathematics of Logic 在線電子書圖書標籤: Logic First-order-Logic 邏輯學數學哲學

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發表於2024-09-28

The Mathematics of Logic 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

The Mathematics of Logic 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

The Mathematics of Logic 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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The Mathematics of Logic 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

The Mathematics of Logic 在線電子書圖書描述

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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