The Logic Book

"The Logic Book is a leading text for symbolic logic courses that presents all concepts and techniques with clear, comprehensive explanations. There is a wealth of carefully constructed examples throughout the text, and its flexible organization places materials within largely self-contained chapters that allow instructors the freedom to cover the topics they want, in the order they choose."--Page 4 de la couverture Cover Page Title Page Copyright Page About the Author Table of Content Preface CHAPTER 1 INTRODUCTION TO DEDUCTIVE LOGIC 1.1 Introduction 1.2 Core Concepts of Deductive Logic 1.3 Special Cases of Logical Concepts CHAPTER 2 SYNTAX AND SYMBOLIZATION 2.1 The Syntax of SL 2.2 Introduction to Symbolization 2.3 More Complex Symbolizations 2.4 Non-Truth-Functional Uses of Connectives 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 Using Truth-Trees To Test for Other Truth-Functional Properties CHAPTER 5 SENTENTIAL LOGIC: DERIVATIONS 5.1 The Derivation System SD 5.2 Basic Concepts of SD 5.3 Strategies for Constructing Derivations in SD 5.4 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: SYNTAX AND SYMBOLIZATION 7.1 Predicates, Singular Terms, and Quantity Expressions of English 7.2 The Formal Syntax of PL 7.3 Introduction To Symbolization 7.4 Symbolization Fine-Tuned 7.5 The Language PLE (Predicate Logic Extended) CHAPTER 8 PREDICATE LOGIC: SEMANTICS 8.1 Interpretations 8.2 Quantifi cational Truth, Falsehood, and Indeterminacy 8.3 Quantifi cational Equivalence and Consistency 8.4 Quantifi cational Entailment and Validity 8.5 Truth-Functional Expansions 8.6 Semantics for Predicate Logic with Identity and Functors CHAPTER 9 PREDICATE LOGIC: TRUTH-TREES 9.1 Truth-Tree Rules for PL 9.2 Truth-Trees and Quantifi cational Consistency 9.3 Truth-Trees and Other Semantic Properties 9.4 Fine-Tuning the Tree Method for PL 9.5 Truth-Trees for PLE 9.6 Fine-Tuning the Tree Method for PLE CHAPTER 10 PREDICATE LOGIC: DERIVATIONS 10.1 The Derivation System PD 10.2 Using Derivations to Establish Syntactic Properties of PD 10.3 The Derivation System PD+ 10.4 The Derivation System PDE 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 Appendix 1 Selected Bibliography Index Index of Symbols Back Cover Introduction To Deductive Logic -- Syntax And Symbolization -- Sentential Logic : Semantics -- Sentential Logic : Truth-trees -- Sentential Locic : Derivations -- Sentential Logic : Metatheory -- Predicated Logic : Syntax And Symbolization -- Predicate Logic : Semantics -- Predicate Logic : Truth-trees -- Predicate Logic : Derivations -- Predicate Logic : Metatheory. Merrie Bergmann, Smith College, Emerita, James Moor, Dartmouth College, Jack Nelson. Includes Bibliographical References And Index. Suitable for symbolic logic courses that presents all concepts and techniques with clear, comprehensive explanations, this book includes flexible organization places materials within largely self-contained chapters that allow instructors the freedom to cover the topics they want, in the order they choose.