Introduction to Logic / Edition 14

Introduction to Logic / Edition 14

by Irving M. Copi Late, Carl Cohen, Kenneth McMahon
     
 

Easy-to-read, visually appealing, and chock full of real-world applications, this most complete and authoritative book on introductory logic fully prepares users to understand, recognize, and apply classical syllogistic logic and the more powerful techniques of modern symbolic logic—explaining all concepts and techniques clearly, accurately, and thoroughly, and… See more details below

Overview

Easy-to-read, visually appealing, and chock full of real-world applications, this most complete and authoritative book on introductory logic fully prepares users to understand, recognize, and apply classical syllogistic logic and the more powerful techniques of modern symbolic logic—explaining all concepts and techniques clearly, accurately, and thoroughly, and bringing them to life using a wealth of real-life examples of lively arguments and explanations drawn from a wide variety of sources to help demonstrate the application of logical principles by serious writers and thinkers trying to solve real problems in a wide range of fields. Includes full chapters on basic logical concepts, the uses of language, definitions, fallacies, categorical propositions, categorical syllogisms, arguments in ordinary language, symbolic logic, methods of deduction, quantification theory, analogy and probable inference, Mill's Methods of experimental inquiry, science and hypothesis, and probability. Reformulates key logical issues, and presents a more detailed account of the concept of logical equivalence, distinguishing it more clearly from the truth-functional connectives. Includes sidebars containing additional, enriching information; many new illustrations taken from contemporary research I the physical and biological science; and a plethora of exercises. For anyone searching for a top-notch, easy-to-understand introduction to logic.

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Product Details

ISBN-13:
9780205820375
Publisher:
Pearson
Publication date:
11/25/2010
Series:
MyLogicLab Series
Pages:
688
Sales rank:
338,349
Product dimensions:
8.20(w) x 10.10(h) x 1.10(d)

Table of Contents

Foreward

Preface

Acknowledgments

PART I LOGIC AND LAGUAGE

SECTION A REASONING

Chapter 1 Basic Logical Concepts

1.1 What Logic Is

1.2 Propositions and Arguments

1.3 Recognizing Arguments

1.4 Arguments and Explanations

1.5 Deductive and Inductive Arguments

1.6 Validity and Truth

Chapter 2 Analyzing Arguments

2.1 Paraphrasing Arguments

2.2 Diagramming Arguments

2.3 Complex Argumentative Passages

2.4 Problems in Reasoning

SECTION B INFORMAL LOGIC

Chapter 3 Language and Definitions

3.1 Language Functions

3.2 Emotive Language, Neutral Language, and Disputes

3.3 Disputes and Ambiguity

3.4 Definitions and Their Uses

3.5 The Structure of Definitions: Extension and Intension

3.6 Definition by Genus and Difference

Chapter 4 Fallacies

4.1 What Is a Fallacy?

4.2 Classification of Fallacies

4.3 Fallacies of Relevance

4.4 Fallacies of Defective Induction

4.5 Fallacies of Presumption

4.6 Fallacies of Ambiguity

Part II Deduction

Section A Classical Logic

Chapter 5 Categorical Propositions

5.1 The Theory of Deduction

5.2 Classes and Categorical Propositions

5.3 The Four Kinds of Categorical Propositions

5.4 Quality, Quantity, and Distribution

5.5 The Traditional Square of Opposition

5.6 Further Immediate Inferences

5.7 Existential Import and the Interpretation of Categorical Propositions

5.8 Symbolism and Diagrams for Categorical Propositions

Chapter 6 Categorical Syllogisms

6.1 Standard-Form Categorical Syllogisms

6.2 The Formal Nature of Syllogistic Argument

6.3 Venn Diagram Technique for Testing Syllogisms

6.4 Syllogistic Rules and Syllogistic Fallacies

6.5 Exposition of the Fifteen Valid Forms of the Categorical Syllogism

Appendix: Deduction of the Fifteen Valid Forms of the Categorical Syllogism

Chapter 7 Syllogisms in Ordinary Language

7.1 Syllogistic Arguments

7.2 Reducing the Number of Terms to Three

7.3 Translating Categorical Propositions into Standard Form

7.4 Uniform Translation

7.5 Enthymemes

7.6 Sorites

7.7 Disjunctive and Hypothetical Syllogisms

7.8 The Dilemma

Section B Modern Logic

Chapter 8 Symbolic Logic

8.1 Modern Logic and Its Symbolic Language

8.2 The Symbols for Conjunction, Negation, and Disjunction

8.3 Conditional Statements and Material Implication

8.4 Argument Forms and Refutation by Logical Analogy

8.5 The Precise Meaning of “Invalid” and “Valid”

8.6 Testing Argument Validity Using Truth Tables

8.7 Some Common Argument Forms

8. 8 Statement Forms and Material Equivalence

8.9 Logical Equivalence

8.10 The Three “Laws of Thought”

Chapter 9 Methods of Deduction

9.1 Formal Proof of Validity

9.2 The Elementary Valid Argument Forms

9.3 Formal Proofs of Validity Exhibited

9.4 Constructing Formal Proofs of Validity

9.5 Constructing More Extended Formal Proofs

9.6 Expanding the Rules of Inference: Replacement Rules

9.7 The System of Natural Deduction

9.8 Constructing Formal Proofs Using the Nineteen Rules of Inference

9.9 Proof of Invalidity

9.10 Inconsistency

9.11 Indirect Proof of Validity

9.12 Shorter Truth-Table Technique

Chapter 10 Quantification Theory

10.1 The Need for Quantification

10.2 Singular Propositions

10.3 Universal and Existential Quantifiers

10.4 Traditional Subject—Predicate Propositions

10.5 Proving Validity

10.6 Proving Invalidity

10.7 Asyllogistic Inference

Part III Induction

Section A Analogy and Causation

Chapter 11 Analogical Reasoning

11.1 Induction and Deduction Revisited

11.2 Argument by Analogy

11.3 Appraising Analogical Arguments

11.4 Refutation by Logical Analogy

Chapter 12 Causal Reasoning

12.1 Cause and Effect

12.2 Causal Laws and the Uniformity of Nature

12.3 Induction by Simple Enumeration

12.4 Methods of Causal Analysis

12.5 Limitations of Inductive Techniques

Section B Science and Probability

Chapter 13 Science and Hypothesis

13.1 Scientific Explanation

13.2 Scientific Inquiry: Hypothesis and Confirmation

13.3 Evaluating Scientific Explanations

13.4 Classification as Hypothesis

Chapter 14 Probability

14.1 Alternative Conceptions of Probability

14.2 The Probability Calculus

14.3 Probability in Everyday Life

Appendix

Solutions to Selected Exercises

Glossary/Index

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