TABLE OF CONTENTS 1 . 



PART I. 



^HYSICAL FOUNDATIONS OF THE SCIENCE OF PKOBABILITY. 



CHH. I V. 



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. 



CHAPTER II. 



ARRANGEMENT AND FORMATION OF THE SERIES. LAWS OF ERROR. 

 1,2. Indication of the nature of a Law of Error or Divergence. 



3. Is there necessarily but one such law, 



-i. Applicable to widely distinct classes of things ? 



1 Chapters and sections which are nearly or entirely new are printed in italics. 



