Methods of Logic
by Quine, W. V.Edition: 4th
Format: Paperback
Pub. Date: 1982-11-16
Publisher(s): Harvard Univ Pr
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Summary
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.
Table of Contents
| 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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