Deductive Logic : An Introduction to Evaluation Technique and Logical Theory

An Introduction to Evaluation Technique and Logical Theory

By: D. S. Clarke, Richard Behling

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Paperback | 1 December 1997 | Edition Number 2

At a Glance

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416 Pages

Edition Type
Revised

Dimensions(cm)
22.86 x 15.24 x 2.54

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Deductive Logic is designed as an intermediate-level text directed at upper-division students from philosophy and the humanities. Its focus is exclusively on deductive logic, avoiding altogether topics such as informal reasoning and scientific method normally included in introductory logic courses. Its exposition of logical topics is informal, with emphasis on explaining the basic concepts and procedures of modern symbolic logic in the simplest and most intuitive manner possible rather than on developing a rigorous formal system and providing proofs of its properties. The fact that the text presupposes a course offered to philosophy students and serves to introduce them to logic as the "language of philosophy" has strongly influenced the selection of topics. The topics here are controversial, and the problems not easily resolved, but this text strives to relate the formal logical structures introduced to issues of philosophic interest.

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Preface	p. v
Introduction	p. 1
The Variety of Inferences	p. 1
Validity and Soundness	p. 5
Propositions and Language Levels	p. 8
Sentence Logic	p. 13
Logical Form	p. 13
Negation, Conjunction, and Disjunction	p. 16
Implication and Equivalence	p. 24
Evaluation of Inferences	p. 31
General Decision Procedure	p. 40
Disjunctive Normal Forms	p. 44
The Sentence Calculus	p. 53
Rules of Inference	p. 53
Direct Proofs	p. 56
Conjunction and Disjunction Rules	p. 61
Indirect Proofs: Implication and Equivalence	p. 65
Negation and Disjunction Elim Rules	p. 74
A Recapitulation and Some Applications	p. 84
Predicate Logic: Basic Concepts	p. 95
Terms	p. 95
Logical Representation	p. 101
Complex Quantificational Schemas	p. 108
Representation of Relational Sentences	p. 115
Decision Procedures for Monadic Predicate Logic	p. 123
Decision Procedure for Finite Domains	p. 123
Extension to Infinite Domains	p. 131
Aristotelian Logic and Venn Diagrams	p. 135
Distributive Normal Forms	p. 145
Decision Procedure for Predicate Logic	p. 156
The Predicate Calculus	p. 165
Rules for the Universal Quantifier	p. 165
Rules for the Existential Quantifier	p. 171
Combined Quantifier and Connective Strategies	p. 175
Applications of the Predicate Calculus	p. 180
Relations and Identity	p. 185
Relations	p. 185
Decision Procedure for Relational Predicates	p. 190
Applying the Calculus	p. 195
Predicate Variables and Identity	p. 200
Syntax and Semantics	p. 209
Logical Principles	p. 217
The Identity Principle	p. 217
Truth and the Bivalence Principle	p. 223
Discourse Frameworks and Relevance	p. 231
The Existence Principle	p. 237
Modal Logic	p. 245
The Modal Trichotomies	p. 245
Interpretations of the Alethic Modalities	p. 251
Decision Procedure	p. 258
The Alethic Calculus	p. 268
Imperative Logic	p. 279
Imperative Inferences	p. 279
Mixed Inferences	p. 289
The Calculus Applied to Imperatives	p. 297
Deontic Logic	p. 307
Deontic Sentences	p. 307
Decision Procedure	p. 315
The Deontic Calculus	p. 319
Appendices	p. 331
The Stroke Connective	p. 331
Summary of Syntactic Rules	p. 332
Summary of Calculus Strategies	p. 338
Three-Valued and Many-Valued Logics	p. 340
Solutions to Selected Exercises	p. 345
Notes	p. 375
Works Cited	p. 393
Index	p. 399
Table of Contents provided by Syndetics. All Rights Reserved.

Deductive Logic : An Introduction to Evaluation Technique and Logical Theory

An Introduction to Evaluation Technique and Logical Theory

At a Glance

Paperback

Shipping

How to return your order

Defective items

You Can Find This Book In

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