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9780072401899

The Logic Book

by
  • ISBN13:

    9780072401899

  • ISBN10:

    0072401893

  • Edition: 4th
  • Format: Hardcover
  • Copyright: 2003-09-26
  • Publisher: McGraw-Hill Humanities/Social Sciences/Languages
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Supplemental Materials

What is included with this book?

Table of Contents

Chapter 1: Basic Notions of Logic

1.1 Background

1.2 Why Study Logic

1.3 Sentences, Truth-Values, and Arguments

1.4 Deductive Validity and Soundness

1.5 Inductive Arguments

1.6 Logical Consistency, Truth, Falsity, and Equivalence

1.7 Special Cases of Validity

Chapter 2: Sentential Logic: Symbolization and Syntax

2.1 Symbolization and Truth-Functional Connectives

2.2 Complex Symbolizations

2.3 Non-Truth-Functional Connectives

2.4 The Syntax of SL

Chapter 3: Sentential Logic: Semantic

3.1 Truth-Value Assignments and Truth-Tables for Sentences

3.2 Truth-Functional Truth, Falsity, and Indeterminacy

3.3 Truth-Functional Equivalence

3.4 Truth-Functional Consistency

3.5 Truth-Functional Entailment and Truth-Functional Validity

3.6 Truth-Functional Properties and Truth-Functional Consistency

Chapter 4: Sentential Logic: Truth-Tree

4.1 Introduction

4.2 Truth-Tree Rules for Sentences Containing ‘tilde’, ‘wedge’, and ‘ampersand'

4.3 Rules for Sentences Containing ‘tilde’, ‘horseshoe’, and ‘triple bar’

4.4 More Complex Truth-Trees

4.5 Using Truth-Trees to Test for Truth-Functional Truth, Falsity, and Indeterminacy

4.6 Truth-Functional Equivalence

4.7 Truth-Functional Entailment and Truth-Functional Validity

Chapter 5: Sentential Logic: Derivation

5.1 The Derivation System SD

5.2 Applying the Derivation Rules of SD

5.3 Basic Concepts of SD

5.4 Strategies for Constructing Derivations in SD

5.5 The Derivation System SD+

Chapter 6: Sentential Logic: Metatheory

6.1 Mathematical Induction

6.2 Truth-Functional Completeness

6.3 The Soundness of SD and SD+

6.4 The Completeness of SD and SD+

Chapter 7: Predicate Logic: Symbolization and Syntax

7.1 Introduction

7.2 Predicates, Individual Constants, and Quantity Terms of English

7.3 Introduction to PL

7.4 Quantifiers Introduced

7.5 The Formal Syntax of PL

7.6 A-, E-, I-, and O- Sentences

7.7 Symbolization Techniques

7.8 Multiple Quantifiers with Overlapping Scope

7.9 Identify, Definite Descriptions, and Properties of Relations

Chapter 8: Predicate Logic: Semantic

8.1 Informal Semantics for PL

8.2 Quantificational Truth, Falsehood, and Indeterminacy

8.3 Quantificational Equivalence and Consistency

8.4 Quantification Entailment and Validity

8.5 Truth-Functional Expansions

8.6 Semantics for Predicate Logic with Identity

8.7 Formal Semantics of PL and PLI

Chapter 9: Predicate Logic: Truth-Tree

9.1 Expanding the Rules for Truth-Trees

9.2 Truth-Trees and Quantificational Consistency

9.3 Truth-Trees and Other Semantic Properties

9.4 Trees for PLI

9.5 Fine-Tuning the Tree Method

Chapter 10: Predicate Logic: Derivation

10.1 The Derivation System PD

10.2 Applying the Derivation Rules of PD

10.3 Basic Concepts of PD

10.4 Strategies for Constructing Derivations in PD

10.5 The Derivation System PD+

10.6 PD with Identity

Chapter 11: Predicate Logic: Metatheory

11.1 Semantic Preliminaries for PL

11.2 Semantic Preliminaries for PLE

11.3 The Soundness of PD, PD+, and PDE

11.4 The Completeness of PD, PD+, and PDE

11.5 The Soundness of the Tree Method

11.6 The Completeness of the Tree Method

Selected Bibliography

Index

Index of Symbols

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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