This page has been validated.
Contents.
xxiii
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. | |
6. | Relation of Probability to Induction. | |
7—9. | The two are sometimes merged into one. | |
10. | Extent to which causation is needed in Probability. | |
11—13. | Difficulty of referring an individual to a class: | |
14. | This difficulty but slight in Logic, | |
15, 16. | But leads to perplexity in Probability: | |
17—21. | Mild form of this perplexity; | |
22, 23. | Serious form. | |
24—27. | Illustration from Life Insurance. | |
28, 29. | Meaning of 'the value of a life'. | |
30, 31. | Successive specialization of the classes to which objects are referred. | |
32. | Summary of results. | |