9780767417730

The Power of Logic renders balanced coverage of informal and formal logic in concise, accurate, and lively prose, making it the most accessible introductory logic text available. The text’s plentiful examples, imaginative exercises, and numerous visual aids help students develop their critical thinking skills as they put the powerful tools of logic to work. In response to teacher feedback on The Power of Logic, Steve Layman now provides an alternate notation for greater pedagogical convenience, along with other small refinements. Foremost among these changes is an alteration in the metalanguage used to state inference rules. The intention is to make this language more student-friendly by using Roman characters to express rules instead of Greek letters.

Preface
1. Basic Concepts
Section I. Validity and Deductive Soundness
Section II. Strength and Inductive Soundness
2. Argument Forms
Section I. Forms and Counterexamples
Section II. Some Forms With Names
3. Identifying Arguments
Section I. Arguments and Nonarguments
Section II. Putting an Argument Into Textbook Form
Section III. Argument Diagrams
Section IV. Enthymemes
4. Logic and Language
Section I. Logic, Meaning, and Emotive Force
Section II. Definitions
Section III. Using Definitions to Evaluate Arguments
5. Categorical Syllogisms
Section I. Categorical Statements
Section II. Venn Diagrams
Section III. Aristotelian Logic: Immediate Inferences
Section IV. Aristotelian Logic: Categorical Syllogisms
6. Informal Fallacies
Section I. Fallacies Involving Irrelevant Premises
Section II. Fallacies Involving Insufficient Evidence
Section III. Fallacies Involving Ambiguity and Unwarranted
Premises
7. Statement Logic: Truth Tables
Section I. Symbolizing English Arguments
Section II. Truth Tables
Section III. Using Truth Tables to Evaluate Arguments
Section IV. Abbreviated Truth Tables
Section V. Tautology, Contradiction, Contingency, and Logical Equivalence
8. Statement Logic: Proofs
Section I. Implicational Rules of Inference
Section II. Five Equivalence Rules
Section III. Five More Equivalence Rules
Section IV. Conditional Proof
Section V. Reductio Ad Absurdum
Section VI. Proving Theorems
9. Predicate Logic
Section I. Predicates and Quantifiers
Section II. Demonstrating Invalidity
Section III. Constructing Proofs
Section IV. Quantifier Negation, RAA, and CP
Section V. The Logic of Relations
Section VI. Identity
10. Induction
Section I. Inductive and Deductive Logic: Contrasts and Clarifications
Section II. Arguments from Authority and Induction by Enumeration
Section III. Mill’s Methods and Scientific Reasoning
Section IV. Arguments From Analogy
Section V. Metaphors and Arguments from Analogy
11. Probability
Section I. Three Theories of Probability
Section II. Rules of Probability
Section III. Bayes' Theorem
12. Modal Logic
Section I. Modal Concepts
Section II. The Modal Symbols
Section III. Constructing Proofs
Section IV. Modal Distribution and Strict Implication
Section V. Systems S4 and S5
Answer Key

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The Power Of Logic, Alternate Edition

The Power Of Logic, Alternate Edition

0767417739

Summary

Table of Contents

1. Basic Concepts

Section I. Validity and Deductive Soundness

Section II. Strength and Inductive Soundness

2. Argument Forms

Section I. Forms and Counterexamples

Section II. Some Forms With Names

3. Identifying Arguments

Section I. Arguments and Nonarguments

Section II. Putting an Argument Into Textbook Form

Section III. Argument Diagrams

Section IV. Enthymemes

4. Logic and Language

Section I. Logic, Meaning, and Emotive Force

Section II. Definitions

Section III. Using Definitions to Evaluate Arguments

5. Categorical Syllogisms

Section I. Categorical Statements

Section II. Venn Diagrams

Section III. Aristotelian Logic: Immediate Inferences

Section IV. Aristotelian Logic: Categorical Syllogisms

6. Informal Fallacies

Section I. Fallacies Involving Irrelevant Premises

Section II. Fallacies Involving Insufficient Evidence

Section III. Fallacies Involving Ambiguity and Unwarranted

Premises

7. Statement Logic: Truth Tables

Section I. Symbolizing English Arguments

Section II. Truth Tables

Section III. Using Truth Tables to Evaluate Arguments

Section IV. Abbreviated Truth Tables

Section V. Tautology, Contradiction, Contingency, and Logical Equivalence

8. Statement Logic: Proofs

Section I. Implicational Rules of Inference

Section II. Five Equivalence Rules

Section III. Five More Equivalence Rules

Section IV. Conditional Proof

Section V. Reductio Ad Absurdum

Section VI. Proving Theorems

9. Predicate Logic

Section I. Predicates and Quantifiers

Section II. Demonstrating Invalidity

Section III. Constructing Proofs

Section IV. Quantifier Negation, RAA, and CP

Section V. The Logic of Relations

Section VI. Identity

10. Induction

Section I. Inductive and Deductive Logic: Contrasts and Clarifications

Section II. Arguments from Authority and Induction by Enumeration

Section III. Mill’s Methods and Scientific Reasoning

Section IV. Arguments From Analogy

Section V. Metaphors and Arguments from Analogy

11. Probability

Section I. Three Theories of Probability

Section II. Rules of Probability

Section III. Bayes' Theorem

12. Modal Logic

Section I. Modal Concepts

Section II. The Modal Symbols

Section III. Constructing Proofs

Section IV. Modal Distribution and Strict Implication

Section V. Systems S4 and S5

Answer Key

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