Routledge

Table of Contents

Preface

CHAPTER 1 BASIC LOGICAL CONCEPTS

1.1 Introduction
1.2 Arguments   
1.3 Evaluating Arguments 
1.4 Classification of Sentences 
1.5 Proofs, Inconclusive and Erroneous Arguments
1.6 Deductive and Inductive Validity  

CHAPTER 2 PROPOSITIONAL LOGIC

2.1 Introduction to Propositional Logic  
2.2 Details about Negations  
2.3 Details about Conditional Sentences
       Reference Sheet for Conditional Sentences¬†¬†
2.4 Determining the Truth-Value of Sentences 
2.5 Truth-Tables to Test the Validity of Arguments 
2.6 Truth-Table Tests for Other Logical Concerns
2.7 Presentation of the Rules of Deduction
       Reference Sheet for the Propositional Rules of Deduction¬†
2.8 Making Deductions for Arguments   
2.9 Strategy in Deductions 
       Twenty Sample Deductions¬†¬†¬†
       More Advanced Topics in Propositional Logic¬†
2.10 The Rules of Conditional Proof and Indirect Proof
2.11 Further Uses of Deductions 

CHAPTER 3 TRADITIONAL LOGIC

3.1 Introduction: New Perspectives 
3.2 Categorical Sentences in Traditional Logic
3.3 English Variations on Categorical Forms
3.4 Venn Diagrams for Categorical Sentences  
3.5 Venn Diagrams for Syllogisms and Equivalences 
3.6 Equivalence Operations  
3.7 Deductions in Traditional Logic 
       Reference Sheet for the Rules of Traditional Logic¬†
3.8 Combining Propositional Logic with Syllogistic Logic

CHAPTER 4 MODERN QUANTIFICATIONAL LOGIC

4.1 Introduction to Quantificational Logic
4.2 Types of English Simple Sentences and Other Details Symbolizing 100 Quantificational Sentences
4.3 The Truth-Value of Quantificational Sentences
4.4 Deductions in Quantificational Logic
Reference Sheet for the Rules of Quantificational Logic
More Advanced Topics in Quantificational Logic 
4.5 Deductions with Conditional Proof and Indirect Proof
4.6 Demonstrating Invalidity
4.7 Relational Sentences
4.8 Deductions with Relational Sentences 
4.9 Working with Identities

CHAPTER 5 LOGICAL FALLACIES

5.1 Introduction
5.2 Fallacies of Irrelevance   
1.  Argumentum ad Baculum 
2.  Argumentum ad Hominem
3.  Argumentum ad Populum  
4.  Argumentum ad Verecundiam  
5.  Argumentum ad Misericordiam
6.  Argumentum ad Ignorantiam   
7.  Tu Quoque Fallacy  
8.  Guilt by Association Fallacy  
9.  Red Herring Fallacy 
5.3 Fallacies of Misconstrual
10. Straw Man Fallacy  
11. Post Hoc Ergo Propter Hoc Fallacy 
12. Fallacy of Special Pleading
13. Fallacy of Improper (Hasty) Generalization 
14. Fallacy of Improper Instance
15. Complex Question Fallacy 
16. Fallacy of Syntactic Ambiguity 
17. Fallacy of Semantic Equivocation  
18. Fallacy of Division   
19. Fallacy of Composition  
5.4 Fallacies of Presumption 
20. False Dichotomy Fallacy
21. Slippery Slope Fallacy 
22. Fallacy of Ad Hoc Reasoning
23. Petitio Principii Fallacy
24. Fallacy of Inconsistent Premisses

Glossary and Index of Terms
List of Symbols and Abbreviation

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