Chapter III: Book I: Formal Logic, Deductive and Inductive

CHAPTER I.

INTRODUCTION.

SECTION PAGE

1. Introduction 1

2. The Powers of Mind concerned in the Creation of Science 4

3. Laws of Identity and Difference 5

4. The Nature of the Laws of Identity and Difference 6

5. The Process of Inference 9

6. Deduction and Induction 11

7. Symbolic Expression of Logical Inference 13

8. Expression of Identity and Difference 14

9. General Formula of Logical Inference 17

10. The Propagating Power of Similarity 20

11. Anticipations of the Principle of Substitution 21

12. The Logic of Relatives 22

CHAPTER II.

TERMS.

1. Terms 24

2. Twofold meaning of General Names 25

3. Abstract Terms 27

4. Substantial Terms 28

5. Collective Terms 29

6. Synthesis of Terms 30

7. Symbolic Expression of the Law of Contradiction 31

8. Certain Special Conditions of Logical Symbols 32

CHAPTER III.

PROPOSITIONS.

1. Propositions 36

2. Simple Identities 37

3. Partial Identities 40

4. Limited Identities 42

5. Negative Propositions 43

6. Conversion of Propositions 46

7. Twofold Interpretation of Propositions 47

CHAPTER IV.

DEDUCTIVE REASONING.

1. Deductive Reasoning 49

2. Immediate Inference 50

3. Inference with Two Simple Identities 51

4. Inference with a Simple and a Partial Identity 53

5. Inference of a Partial from Two Partial Identities 55

6. On the Ellipsis of Terms in Partial Identities 57

7. Inference of a Simple from Two Partial Identities 58

8. Inference of a Limited from Two Partial Identities 59

9. Miscellaneous Forms of Deductive Inference 60

10. Fallacies 62

CHAPTER V.

DISJUNCTIVE PROPOSITIONS.

1. Disjunctive Propositions 66

2. Expression of the Alternative Relation 67

3. Nature of the Alternative Relation 68

4. Laws of the Disjunctive Relation 71

5. Symbolic Expression of the Law of Duality 73

6. Various Forms of the Disjunctive Proposition 74

7. Inference by Disjunctive Propositions 76