The Logic Book / Edition 4

by Merrie Bergmann, Jack Nelson, James Moor

Overview

This best-selling text for symbolic logic courses (both one- and two-semester) covers semantics,truth trees,derivations,and metatheory as it develops sentential logic (Chs. 2-6),and predicate logic (Chs. 7-11). The revised edition has more exercises,updated examples,even clearer explanations,a new topic identity,and the latest routine in tree method proofs. The book is packaged with a free solutions manual for selected exercises in the text.

Product Details

ISBN-13:	9780072401899
Publisher:	McGraw-Hill Companies, The
Publication date:	09/28/2003
Edition description:	Older Edition
Pages:	672
Product dimensions:	6.50(w) x 9.50(h) x 1.20(d)

About the Author

James Moor received his Ph.D. in history and philosophy of science from Indiana University and is currently a Professor of Philosophy at Dartmouth College. He has developed software for teaching logic and has published articles in philosophy of science, philosophy of mind, logic, philosophy of artificial intelligence, and computer ethics.

Merrie Bergmann received her Ph.D. in philosophy from the University of Toronto and is currently an Associate Professor in the Computer Science Department at Smith College. She has published articles in formal semantics and logic, philosophy of language, and computational linguistics.

Jack Nelson received his Ph.D. in philosophy from the University of Chicago and is currently Associate Dean of the College of Liberal Arts and Sciences and the Interim Chair of the Philosophy Department at Arizona State University. He has developed software for teaching logic and has published articles in personal identity, epistemology, and philosophy of science.

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: Semantics

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
Selected Bibliography
Index