Page:American Journal of Sociology Volume 4.djvu/150

 134 THE AMERICAN JOURNAL OF SOCIOLOGY

(6) Analysis. (<:) Synthesis.

2. Abstraction and determination.

3. Induction and deduction.

Chap. II. Tke Forms of Systematic Exposition.

1. Definition.

2. Classification.

(a) General characteristics of classification, and development of forms of classification.

(b) Descriptive classification.

(c) Genetic classification. ((/) Analytic classification.

(e) Double, triple, and quadruple division.

3. Proof.

(a) General tasks of processes of proof. (J)) Direct forms of proof. (c) Indirect forms of proof.

SECOND DIVISION. THE LOGIC OF MATHEMATICS.

Chap. I. The General Logical Methods of Mathematics.

Chap. II. Arithmetical Methods.

Chap. III. Geometric Methods.

Chap. IV. The Idea of Functions and the Infinitesimal Method.

THIRD DIVISION. THE LOGIC OF THE NATURAL SCIENCES.

Chap. I. The General Foundations of Natural Sciences.

1. The development and division of the natural sciences.

(a) The development of the natural sciences.

(b) The system of the natural sciences.

2. Principles of interpretation in the natural sciences. {a) Causal and teleological aspects of nature.

(b) The postulate of observability.

{c) Critical doubt.

{d) The principle of simplicity.

3. The principles of mechanics and the causal idea in mechanical theory.

{a) The development of the fundamental idea of mechanics. {b) Formulation of the mechanical axioms of Newton. {c) Fundamental teleological theorems of mechanics. {d) Ftmdamental causal theorems of mechanics.

OF Sociology, July, 1895, and Outlines of Sociology, chap. I. This chapter is cited here, not because it throws special light on this stage of our argument, but because it sums up analyses of the subject-matter of the social sciences, in a way to which it will be useful to refer back presently.