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Symbolic Logic

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ISBN-10: 0534537308

ISBN-13: 9780534537302

Edition: 2001

Authors: Dale Jacquette

List price: $223.95
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This comprehensive intro text covers central topics of elementary and symbolic logic. It contains many problems and exercises and provides a solid foundation for continued study of advanced topics in logic.
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Book details

List price: $223.95
Copyright year: 2001
Publisher: Wadsworth
Publication date: 8/22/2000
Binding: Hardcover
Pages: 384
Size: 7.25" wide x 9.25" long x 0.75" tall
Weight: 2.134
Language: English

Preface
Introduction
What Is Logic?
Why Study Logic?
How Shall We Study Logic?
Concepts of Logic
Propositions and Arguments
Propositions
Propositional Symbols
Arguments
Deductively Valid Arguments
Inference Indicators
Imagination Test for Deductive Validity
Limiting Cases of Deductive Validity
Conditional Arguments
Reductio ad Absurdum
Deductive Validity in Complex Arguments
Soundness
Summary: Propositions and Arguments
Exercises
Propositional Logic
Propositional Syntax and Semantics
Propositional Logic
Syntax of Propositional Logic
Propositional Connectives
Truth Table Semantics
Negation
Conjunction
Disjunction
Conditional
Biconditional
Translating Propositions
Colloquial Propositional Equivalents
Disambiguating Propositional Relations
Translating Arguments
Summary: Propositional Syntax and Semantics
Exercises
Truth Tables
Decision Methods
Truth Tables
Main Connectives
Truth Table Setup
Propositional Semantic Concepts
Tautology, Inconsistency, and Contingency
Classifying Wffs by Truth Tables
Applications to Complex Wffs
Truth Table Shortcuts
Truth Tables for Consistency
Truth Tables for Equivalence
Truth Tables for Sequents
Turbo Truth Tables
Reduction of Propositional Connectives
Summary: Truth Tables
Exercises
Truth Trees
Truth Trees
Stacking and Branching
Truth Tree Rules
Truth Tree Criteria
Classifying Wffs by Truth Trees
Truth Trees for Consistency
Truth Trees for Equivalence
Truth Trees for Sequents
Summary: Truth Trees
Exercises
Propositional Natural Deduction Proofs
Natural Deduction
Anatomy of a Natural Deduction Proof
Natural Deduction Rules
Assumption (A)
Reiteration (R)
Double Negation (DN)
Conjunction Introduction (andI)
Conjunction Elimination (andE)
Disjunction Introduction ([logical or]I)
Disjunction Elimination ([logical or]E)
Subproof Entrance and Exit
Conditional Introduction ([superset or implies]I)
Conditional Elimination ([superset or implies]E)
Negation Introduction/Elimination ( IE)
Biconditional Introduction ([identical with]I)
Biconditional Elimination ([identical with]E)
Derived Rule Reductions
Proving Tautologies
Proof Strategy Hints
Valid Sequent and Tautology Proofs
Summary: Propositional Natural Deduction Proofs
Exercises
Predicate Logic
Predicate Syntax and Semantics
Predicate Syntax
Predicating Properties of Objects
Quantifying Over Sets of Objects
Predicate Wffs
Quantifier Duality
Propositional Connectives in Predicate Logic
Translating Monadic Quantifications
'Only' Quantifications and Exceptions
Translating Polyadic and Mixed Multiple Quantifications
Internal Propositional Complexities
Overlapping Quantifier Scopes
Prenex Normal Form
Ambiguous Quantifiers
Translating Predicate Arguments
Predicate Semantics
Predicate Semantic Concepts
Alternative Semantic Principles
Circle Diagrams
Summary: Predicate Syntax and Semantics
Exercises
Predicate Truth Trees
Predicate Trees
Identifying Main Operators
Predicate Truth Tree Rules
Classifying Wffs by Predicate Trees
Predicate Trees for Consistency, Equivalence, and Validity
Truth Tree Protocol for Predicate Logic
Applications to Complex Wffs and Sequents
Truth Tree Evaluation of Prenex Equivalents
Square of Opposition
Limitations of Predicate Trees
Summary: Predicate Truth Trees
Exercises
Predicate Natural Deduction Proofs
Natural Deduction Rules for Predicate Logic
Universal Elimination ([for all]E)
Existential Introduction ([exist]I)
Universal Introduction ([for all]I)
Existential Elimination ([exist]E)
Strategy Hints
Proving Valid Sequents in Predicate Logic
Predicate Proofs of Prenex Equivalents
Proving Tautologies in Predicate Logic
The Barber Paradox
Word Problems
Logic of Relations
Identity
Specific Numbers of Objects
Definite Description
Deductive Incompleteness
Summary: Predicate Natural Deduction Proofs
Exercises
Advanced Topics in Symbolic Logic
Where Do We Go from Here?
Metatheory
Foundations of Mathematics
Computers, Artificial Intelligence, and Machine Theory
Modal Logic
Nonstandard Logics
Philosophical Applications
History of Logic
Reference List of Demonstration Problems
Sources and Selected Readings
Glossary-Index