CHAPTER 1 Fundamental
Concepts I.THE USES OF
LANGUAGE
1. The Informative Function
2. The Expressive Function
3. The Directive Function
4. The Aesthetic or Poetic Function II. REASONING
1. The Nature of Reasoning
2. Deductive and Inductive Arguments
3. Old Definitions of Deductive and Inductive Arguments
Are Inadequate
4. Validity and Form
5. Valid Arguments and Sound Arguments
6. How Deductive Reasoning Is Used
7. The Principle of Contradiction
CHAPTER 2 Arguments Based on
Implication
1. Conditional Propositions and Implication
2. Modus Ponens and the Fallacy of Asserting the
Consequent
3. Modus Tollens, Transposition, and the Fallacy of
Denying the Antecedent
4. Summary of Argument Forms Based on
Implication
5. Three Types of Implications
6. Different Ways of Expressing Implication
7. Analysis of Arguments
8. Definitions and Biconditionals
9. A Convenient Way to Save Time and Avoid
Confusion
EXERCISES
CHAPTER 3 Other Fundamental Forms of
Argument
1. The Chain Argument
2. The Disjunctive Syllogism and Implicational
Equivalence
3. The Principle of Mutual Exclusivity
4. The Principle of Double Negation
5. Dilemmas
6. Special Cases of the Constructive Dilemma
7. Summary of Argument Forms
EXERCISES
CHAPTER 4 Troubleshooting
Techniques: Seeing the Logical Structure in
Language
1. Identification of Premises and Conclusions
2. Dealing with Long, Cumbersome Phrases
3. Synonyms and Fuzzy Terms and Phrases
4. Premises that Require Reformatting
5. Arguments with Unstated Assumptions
6. Statements Not Expressed in 'If-Then' or 'Either-Or'
Terms
EXERCISES
CHAPTER 5 The Logic of
Syllogisms
1. The Four Types of Propositions
2. Syllogisms
3. Determining Validity and Invalidity in
Syllogisms
4. Two Important Cases of Invalid Syllogisms
5. The Question of Existence
6. Using Counter-Examples to Prove Invalidity
EXERCISES
CHAPTER 7 Thinking Logically about Value
Issues 1. The Importance of Logic in Value
Discussions
2. Spotting and Clarifying Missing Assumptions
3. The Concept of Prima Facie Value
4. Intrinsic versus Extrinsic Value
5. Evaluating Basic Criteria for Value
Decisions
(a) Egoistic hedonism
(b) Utilitarianism
(c) Value systems based on concepts of
justice
(d) Personalism
(e) Ethical relativism