CHAPTER I.

THE SERIES OF PROBABILITY.

§§ 1, 2. Distinction between the proportional propositions of Probability, and the propositions of Logic. 3, 4. The former are best regarded as presenting a series of individuals, 5. Which may occur in any order of time, 6, 7. And which present themselves in groups. 8. Comparison of the above with the ordinary phraseology. 9, 10. These series ultimately fluctuate, 11. Especially in the case of moral and social phenomena, 12. Though in the case of games of chance the fluctuation is practically inappreciable. 13, 14. In this latter case only can rigorous inferences be drawn. 15, 16. The Petersburg Problem.