Methods of Logic

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ISBN: 9780674571761 | 0674571762
Cover: Paperback
Copyright: 11/16/1982

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This widely used textbook of modern formal logic now offers a number of new features. Incorporating updated notations, selective answers to exercises, expanded treatment of natural deduction, and new discussions of predicate- functor logic and the affinities between higher set theory and the elementary logic of terms, Quine's new edition will serve admirably both for classroom and for independent use.

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Introduction
Truth Functions
Negation, Conjunction, and Alternation
Truth Functions
The Conditional
Grouping
Truth-Value Analysis
Consistency and Validity
Implication
Words into Symbols
Equivalence
Alternational Normal Schemata
Simplification
Duality
Axioms
General Terms and Quantifiers
Categorical Statements
Venn's Diagrams
Syllogisms
Limits of These Methods
Boolean Schemata
Tests of Validity
Some Boolean Incidentals
The Bound Variable
Quantification
Rules of Passage. Monadic Schemata
Prenexity and Purity
Validity Again
Substitution
General Theory of Quantification
Schemata Extended
Substitution Extended
Pure Existentials
The Main Method
Application
Completeness
Louml;wenheim's Theorem
Decisions and the Undecidable
Functional Normal Forms
Herbrand's Method
Other Methods for Validity
Deduction
Soundness
Deductive Strategy
Glimpses Beyond
Singular Terms
Identity
Descriptions
Elimination of Singular Terms
Elimination of Variables
Classes
Number
Axiomatic Set Theory Partial Answers to Exercises
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

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Methods of Logic

Summary

Table of Contents

Supplemental Materials