9780072875874

This introductory level text carries the conviction that logic is the most important course that college students take. The Power of Logic provides balanced coverage of informal logic, traditional categorical logic, and modern symbolic logic, while its companion online supplement, Logic Tutor, offers a wealth of applications for the concepts discussed. Layman's direct and accessible writing style, along with his plentiful examples and imaginative exercises, make this the best text for today's logic classes.

1. Basic Concepts
Validity and Soundness / Forms and Counterexamples / Some "Famous" Forms / Strength and Cogency
2. Identifying Arguments
Arguments and Nonarguments / Well-Crafted Arguments / Notes / Appendix to Chapter 2: Argument Diagrams
3. Logic and Language
Logic, Meaning, and Emotive Force / Definitions / Using Definitions to Evaluate Arguments
4. Informal Fallacies
Fallacies Involving Irrelevant Premises / Fallacies Involving Ambiguity / Fallacies Involving Unwarranted Assumptions
5. Categorical Logic: Statements
Standard Forms of Categorical Statements / The Traditional Square of Opposition / Further Immediate Inferences
6. Categorical Logic: Syllogisms
Standard Mood, Form, and Figure / Venn Diagrams and Categorical Statements / Venn Diagrams and Categorical Syllogisms / The Modern Square of Opposition / Enthymemes / Sorites and Removing Term Complements / Rules for Evaluating Syllogisms
7. Statement Logic: Truth Tables
Symbolizing English Arguments / Truth Tables / Using Truth Tables to Evaluate Arguments / Abbreviated Truth Tables / Tautology, Contradiction, Contingency, and Logical Equivalence
8. Statement Logic: Proofs
Implicational Rules of Inference / Five Equivalence Rules / Five More Equivalence Rules / Conditional Proof / Reductio ad Absurdum / Proving Theorems
9. Predicate Logic
Predicates and Quantifiers / Demonstrating Invalidity / Constructing Proofs / Quantifier Negation, RAA, and CP / The Logic of Relations: Symbolizations / The Logic of Relations: Proofs / Identity: Symbolizations / Identity: Proofs
10. Induction
Inductive and Deductive Logic: Contrasts and Clarifications (Statistical Syllogisms) / Arguments from Authority and Induction by Enumeration / Mill's Methods and Scientific Reasoning / Arguments from Analogy
11. Probability
Three Theories of Probability / The Rules of Probability / Bayes' Theorem

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The Power of Logic

The Power of Logic

0072875879

Summary

Table of Contents

Validity and Soundness / Forms and Counterexamples / Some "Famous" Forms / Strength and Cogency

2. Identifying Arguments

Arguments and Nonarguments / Well-Crafted Arguments / Notes / Appendix to Chapter 2: Argument Diagrams

3. Logic and Language

Logic, Meaning, and Emotive Force / Definitions / Using Definitions to Evaluate Arguments

4. Informal Fallacies

Fallacies Involving Irrelevant Premises / Fallacies Involving Ambiguity / Fallacies Involving Unwarranted Assumptions

5. Categorical Logic: Statements

Standard Forms of Categorical Statements / The Traditional Square of Opposition / Further Immediate Inferences

6. Categorical Logic: Syllogisms

Standard Mood, Form, and Figure / Venn Diagrams and Categorical Statements / Venn Diagrams and Categorical Syllogisms / The Modern Square of Opposition / Enthymemes / Sorites and Removing Term Complements / Rules for Evaluating Syllogisms

7. Statement Logic: Truth Tables

Symbolizing English Arguments / Truth Tables / Using Truth Tables to Evaluate Arguments / Abbreviated Truth Tables / Tautology, Contradiction, Contingency, and Logical Equivalence

8. Statement Logic: Proofs

Implicational Rules of Inference / Five Equivalence Rules / Five More Equivalence Rules / Conditional Proof / Reductio ad Absurdum / Proving Theorems

9. Predicate Logic

Predicates and Quantifiers / Demonstrating Invalidity / Constructing Proofs / Quantifier Negation, RAA, and CP / The Logic of Relations: Symbolizations / The Logic of Relations: Proofs / Identity: Symbolizations / Identity: Proofs

10. Induction

Inductive and Deductive Logic: Contrasts and Clarifications (Statistical Syllogisms) / Arguments from Authority and Induction by Enumeration / Mill's Methods and Scientific Reasoning / Arguments from Analogy

11. Probability

Three Theories of Probability / The Rules of Probability / Bayes' Theorem

Supplemental Materials