Introduction to Logic, 2/e (Paperback)

Michael Genesereth, Eric Kao

  • 出版商: Morgan & Claypool
  • 出版日期: 2013-08-01
  • 定價: $875
  • 售價: 9.0$788
  • 語言: 英文
  • 頁數: 164
  • 裝訂: Paperback
  • ISBN: 162705247X
  • ISBN-13: 9781627052474
  • 立即出貨 (庫存=1)

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商品描述

This book is a gentle but rigorous introduction to Formal Logic. It is intended primarily for use at the college level. However, it can also be used for advanced secondary school students, and it can be used at the start of graduate school for those who have not yet seen the material. The approach to teaching logic used here emerged from more than 20 years of teaching logic to students at Stanford University and from teaching logic to tens of thousands of others via online courses on the World Wide Web. The approach differs from that taken by other books in logic in two essential ways, one having to do with content, the other with form.

Like many other books on logic, this one covers logical syntax and semantics and proof theory plus induction. However, unlike other books, this book begins with Herbrand semantics rather than the more traditional Tarskian semantics. This approach makes the material considerably easier for students to understand and leaves them with a deeper understanding of what logic is all about.

In addition to this text, there are online exercises (with automated grading), online logic tools and applications, online videos of lectures, and an online forum for discussion. They are available at logic.stanford.edu/intrologic/

Table of Contents: Introduction / Propositional Logic / Satisfiability / Propositional Proofs / Propositional Resolution / Relational Logic / Relational Logic Proofs / Resolution / Induction / Equality

商品描述(中文翻譯)

這本書是一本關於形式邏輯的溫和但嚴謹的入門書。它主要用於大學水平的教學,但也適用於高中生和研究生入學前尚未接觸過這個領域的人。這裡所採用的邏輯教學方法來自於在斯坦福大學教授邏輯課程超過20年的經驗,以及通過網絡課程向數以萬計的學生傳授邏輯知識。這種方法在內容和形式上與其他邏輯書籍有所不同。

與其他邏輯書籍一樣,這本書涵蓋了邏輯語法、語義學和證明理論以及歸納法。然而,與其他書籍不同的是,這本書從Herbrand語義學開始,而不是傳統的Tarski語義學。這種方法使學生更容易理解材料,並使他們對邏輯的本質有更深入的理解。

除了這本教材外,還提供了在線練習(自動評分)、在線邏輯工具和應用、在線講座視頻以及用於討論的在線論壇。這些資源可以在logic.stanford.edu/intrologic/上找到。

目錄:引言/命題邏輯/可滿足性/命題證明/命題消解/關係邏輯/關係邏輯證明/消解/歸納法/相等性