CHAPTER VII.
THE RULES OF INFERENCE IN PROBABILITY.
§ 1. Nature of these inferences.
2. Inferences by addition and subtraction.
3. Inferences by multiplication and division.
4–6. Rule for independent events.
7. Other rules sometimes introduced.
8. All the above rules may be interpreted subjectively, i.e.[** TN: space] in terms of belief.
9–11. Rules of so-called Inverse Probability.
12, 13. Nature of the assumption involved in them:
14–16. Arbitrary character of this assumption.
17, 18. Physical illustrations.
CHAPTER VIII.
THE RULE OF SUCCESSION.
§ 1. Reasons for desiring some such rule:
2. Though it could scarcely belong to Probability.
3. Distinction between Probability and Induction.
4, 5. Impossibility of reducing the various rules of the latter under one head.
6. Statement of the Rule of Succession;
7. Proof offered for it.
8. Is it a strict rule of inference?
9. Or is it a psychological principle?
CHAPTER IX.
INDUCTION.
§§ 1–5. Statement of the Inductive problem, and origin of the Inductive inference.