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The Logic Book with Student Solutions CD-ROM

by: BERGMANN M

ISBN: 9780072944013 | 0072944013

Edition: 4th
Format: Hardcover
Publisher: McGraw-Hill Humanities/Social Sciences/Languages
Pub. Date: 9/23/2003

Newer Edition Available

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Summary Table of Contents

This leading text for symbolic or formal logic courses presents all techniques and concepts with clear, comprehensive explanations, and includes a wealth of carefully constructed examples. Its flexible organization (with all chapters complete and self-contained) allows instructors the freedom to cover the topics they want in the order they choose.

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The Logic Book with Student Solutions CD-ROM

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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

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-Trees

4.1 The Truth-Tree Method

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

4.3 Rules for Sentences Containing '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: Derivations

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 The Limitations of SL

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 Identity, Definite Descriptions, and Properties of Relations, and Functions

Chapter 8: Predicate Logic: Semantics

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 and Functors

8.7 Formal Semantics of PL and PLE

Chapter 9: Predicate Logic: Truth-Trees

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 PLE

9.5 Fine-Tuning the Tree Method

Chapter 10: Predicate Logic: Derivations

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 The Derivation System PDE

Chapter 11: Predicate Logic: Metatheory

11.1 Semantic Preliminaries for PD

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