TABLE OF CONTENTS
CHAPTER 1. BASIC LOGICAL CONCEPTS
1. Introduction
2. Arguments
3. Evaluating arguments
4. Classification of sentences
5. Proofs, inconclusive and false arguments
6. Deductive and inductive validity
CHAPTER 2. PROPOSITIONAL LOGIC
1. Introduction to Propositional Logic
2. Details about negations
3. Details about conditional sentences
4. Determining the truth-value of sentences
5. Truth-tables for the validity of arguments
6. Truth-tables for other logical concerns
7. Presentation of the rules of deduction
8. Making deductions for arguments
9. Strategy in Deductions
MORE ADVANCED TOPICS
10. Rules of Conditional Proof and Indirect Proof
11. Further uses of deductions
CHAPTER 3. TRADITIONAL LOGIC
1. Introduction: New Perspectives
2. Categorical sentences
3. English variations on categorical forms
4. Venn diagrams for sentences
5. Venn diagrams for categorical syllogisms and equivalences
6. Equivalence Operations
7. Deductions in Traditional Logic
8. Combining Propositional Logic with Syllogistic Logic
CHAPTER 4. MODERN QUANTIFICATIONAL LOGIC
1. Introduction to Quantificational Logic
2. Types of English simple sentences and other details
3. The truth-value of quantificational sentences
4. Deductions in Quantificational Logic
MORE ADVANCED TOPICS
5. Deductions with Conditional Proof and Indirect Proof
6. Demonstrating invalidity
7. Relational sentences
8. Deductions with relational sentences
9. Working with identities
CHAPTER 5. LOGICAL FALLACIES
1. Introduction: Formal Fallacies and Informal Fallacies
2. Fallacies of Irrelevance
• Argumentum ad Baculum
• Argumentum ad Hominem
• Argumentum ad Populum
• Argumentum ad Verecundiam
• Argumentum ad Misericordiam
• Argumentum ad Ignorantiam
• Tu Quoque Fallacy
• Guilt by Association Fallacy
• Red Herring Fallacy
3. Fallacies of Misconstrual
• Straw Man Fallacy
• Post Hoc Ergo Proper Hoc
• Special Pleading
• Improper Generalization
• Improper Instance
• Complex Question Fallacy
• Syntactic Ambiguity
• Semantic Equivocation
• Fallacy of Division
• Fallacy of Composition
4. Fallacies of Presumption
• False Dichotomy Fallacy
• Slippery Slope Fallacy
• Fallacy of ad Hoc Reasoning
• Petitio Principii Fallacy
• Fallacy of Inconsistent Premisses
Glossary of Logical Terms
Symbols, Abbreviations
Index