Merrie Bergmann, James Moor, Jack Nelson

The Logic Book

• Gebundenes Buch

Produktbeschreibung

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.

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Produktdetails

• Verlag: McGraw Hill LLC
• 6th Revised edition
• Seitenzahl: 640
• Erscheinungstermin: 8. Februar 2013
• Englisch
• Abmessung: 238mm x 167mm x 30mm
• Gewicht: 1009g
• ISBN-13: 9780078038419
• ISBN-10: 0078038413
• Artikelnr.: 37039554

Autorenporträt

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.

Inhaltsangabe

Chapter 1: INTRODUCTION TO DEDUCTIVE LOGIC
1.1 Introduction
1.2 Core Concepts of Deductive Logic
1.3 Special Cases of Logical Concepts
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: 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 Truth-Tree Rules
4.3 Using Truth-Trees to test for other Truths
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 (Predicte Logic Extended)
Chapter 8: Predicate Logic: Semantics
8.1 Interpretations
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
Chapter 9: Predicate Logic: Truth-Trees
9.1 Truth-Tree RUles for PL
9.2 Truth-Trees and Quantificational Consistency
9.3 Truth-Trees and Other Semantic Properties
9.4 Fine-Tuning the Tree Method
9.5 Trees 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 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
Index of Symbols