This page has been validated.
xxvi
Contents.
| CHAPTER XIV. | ||
| FALLACIES. | ||
| §§ 1—3. | (I.)Errors in judging of events after they have happened. | |
| 4—7. | Very various judgments may be thus involved. | |
| 8, 9. | (II.)Confusion between random and picked selections. | |
| 10, 11. | (III.)Undue limitation of the notion of Probability. | |
| 12—16. | (IV.)Double or Quits: the Martingale. | |
| 17, 18. | Physical illustration. | |
| 19, 20. | (V.)Inadequate realization of large numbers. | |
| 21—24. | Production of works of art by chance. | |
| 25. | Illustration from doctrine of heredity. | |
| 26—30. | (VI.)Confusion between Probability and Induction. | |
| 31—33. | (VII.)Undue neglect of small chances. | |
| 34, 35. | (VIII.)Judging by the event in Probability and in Induction. | |
| PART III. | ||
| VARIOUS APPLICATIONS OF THE THEORY OF PROBABILITY. Chh. XV—XIX. | ||
| CHAPTER XV. | ||
| INSURANCE AND GAMBLING. | ||
| §§ 1, 2. | The certainties and uncertainties of life. | |
| 3—5. | Insurance a means of diminishing the uncertainties. | |
| 6, 7. | Gambling a means of increasing them. | |
| 8, 9. | Various forms of gambling. | |
| 10, 11. | Comparison between these practices. | |
| 12—14. | Proofs of the disadvantage of gambling:— (1) on arithmetical grounds: | |
