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9780262511261

Logic Primer - 2nd Edition

by ;
  • ISBN13:

    9780262511261

  • ISBN10:

    0262511266

  • Edition: 2nd
  • Format: Paperback
  • Copyright: 2001-01-16
  • Publisher: PENGUIN

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Summary

Logic Primerpresents a rigorous introduction to natural deduction systems of sentential and first-order logic. The text is designed to foster the student-instructor relationship. The key concepts are laid out in concise definitions and comments, with the expectation that the instructor will elaborate upon them. New to the second edition is the addition of material on the logic of identity in chapters 3 and 4. An innovative interactive Web site, consisting of a "Logic Daemon" and a "Quizmaster," encourages students to formulate their own proofs and links them to appropriate explanations in the book.

Author Biography

Colin Allen is Professor of Philosophy at Texas A&M University. He is the coauthor of Nature's Purposes (MIT Press, 1998), Species of Mind (MIT Press, 1997), and The Cognitive Animal (MIT Press, 2001).

Michael Hand is Professor of Philosophy at Texas A&M University.

Table of Contents

Preface ix
Acknowledgements xix
Sentential Logic
1(38)
Basic Logical Notions
1(2)
A Formal Language for Sentential Logic
3(7)
Translation of English to Sentential Wffs
10(7)
Primitive Rules of Proof
17(11)
Sequents and Derived Rules
28(7)
Theorems
35(4)
Truth Tables
39(18)
Truth Tables for Sentences
39(4)
Truth Tables for Sequents
43(3)
Tautologies
46(3)
Indirect Truth Tables
49(4)
English Counterexamples
53(4)
Predicate Logic
57(36)
A Formal Language for Predicate Logic
57(10)
Translation of English to Quantified Wffs
67(9)
Primitive Rules of Proof
76(13)
Sequents, Theorems, and Derived Rules of Proof
89(4)
Models
93(20)
Finite Interpretations and Expansions with One-Place Predicates
93(6)
Finite Countermodels for Arguments with One-Place Predicates
99(3)
Finite Countermodels for Arguments with Many-Place Predicates
102(5)
Finite Countermodels for Arguments with Identity
107(3)
Infinite Countermodels
110(3)
Answers to Selected Exercises 113(76)
Chapter 1
113(42)
Chapter 2
155(6)
Chapter 3
161(20)
Chapter 4
181(8)
Index 189

Supplemental Materials

What is included with this book?

The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.

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