CONTENTS.

INTRODUCTION.

CHAPTER I.

The Definition, Province, and Parts of Logic.

§ 1. Logic defined from the Subjective Point of View

2. From the Objective Point of View .

3. From the Linguistic Point of View.

4. The third not tenable by itself

5. Hamilton adopts the first

6. Mill in his "Examination of Hamilton's Philosophy,"

adopts the first with a qualification; and in his "Logic"

he adopts the phraseology of the third, but the second

in reality

7. Spencer adopts the second

8. The View adopted in this work

9. The Relation of Logic to other Sciences

10. The End and Province of Logic

11. The Parts of Logic

12. Deductive Logic

CHAPTER II.

The Fundamental Principles of Deductive Logic.

§ 1. The Principle of Identity

2. The Principle of Contradiction

3. The Principle of Excluded Middle

7

8

The Various Divisions of Terms.

§1. Name, Concept, Conception, and Term defined. A
Tabular View of various Divisions of Terms

2. The first division of Terms into Single-worded and

Many-worded

3. The second division into Singular, General, and Col-
lective

4. The third division into Abstract and Concrete

5. The fourth division into Positive, Negative, and Privative
6. The fifth division into Correlative and Absolute

7. The sixth division into Connotative and Non-connota-

tive. Ambiguous Terms

8. The Objective Basis of the various Divisions of Terms

9. Exercises

CHAPTER II.

The Denotation and Connotation, Division and Definition, of Terms.

§ 1. The Denotation and Connotation of a Term defined

46

2.

The Relation between the Denotation and Connotation

of a Term

47

3.

4.

The Explanation of the Relation by Diagrams

Exercises on Denotation and Connotation

5. The Mutual Relations of Terms

Exercises

6. The Definition and Division of Terms

7. The Rules of Definition

Exercises

8. The Rules of Division

Exercises

PART II-PROPOSITIONS,

CHAPTER I.

The Definition and Divisions of Propositions.

§ 1. Proposition defined. Its essential elements: the Sub-

ject, the Predicate, and the Copula. Definition of

Judgment.

2.

3.

A Tabular View of various Divisions of Propositions

The first division into Categorical and Conditional, ac-

cording to Relation

70

4. The second division into Affirmative and Negative, ac-

cording to Quality

5. The third division into Necessary, Assertory, and Pro-

blematic, according to Modality

6. The fourth division into Universal and Particular, ac-

cording to Quantity

70

71

.

73

75

7. The Four Propositional Forms A, E, I, and O, according

to Quality and Quantity

8. The Mutual Relations of A, E, I, and O, or Opposition

of Propositions

9. The fifth division into Analytic or Verbal, and Synthetic

or Real, according to Import

10. The Five Predicables:-Genus, Species, Differentia,

The Theory of Predication and the Import of Propositions.

§ 9. Mill on Hamilton's Equational View and the Doctrine

of the Quantification of the Predicate

12.

Classification of the various Views into (1) Predicative,

(2) Denotative, (3) Connotative, (4) Denotative-Con-

potative

CHAPTER III.

PAGE

98

101

104

106

The Meaning and Representation of A, E, I, 0, by Diagrams.

§ 1. The Meaning and Representation of A

2. The Meaning and Representation of E

3. The Meaning and Representation of I

4. The Meaning and Representation of O

5. Recapitulation

6. Exercises

111

112

113

114

PART III.—REASONING OR INFERENCE.

CHAPTER I.

The Different Kinds of Reasoning or Inference, with

Examples.

CHAPTER II.

Of Immediate Inferences.

§ 1. Immediate Inference defined

Two kinds of Immediate Inference:

(1) Immediate Inference from a Term.

(2) Immediate Inference from a Proposition.

Different forms of (2) are:-

118

124

II. Obversion, Equipollence, or Permutation

III. Contraposition

129

132

3. The Method of Testing by Diagrams: the two Axioms.

4. The General Syllogistic Rules

153

155

Figure

Figure

5. The Division of Categorical Syllogisms into Figures

6. The Subdivision of Categorical Syllogisms in each

Figure into Moods

7. The Determination of the Valid Moods in the First

8. The Determination of the Valid Moods in the Second

9. The Determination of the Valid Moods in the Third

Figure

10. The Determination of the Valid Moods in the Fourth

2. The Valid Moods in the First Figure determined by the

164

167

175

177

180

3. Aristotle's Distinction of Perfect and Imperfect Figures

4. Reduction of Moods in the Imperfect Figures to the

Perfect