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A Philosophical Essay on Probabilities

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A Philosophical Essay on Probabilities

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A Philosophical Essay on Probabilities

_TRANSLATED FROM THE SIXTH FRENCH EDITION_ BY

FREDERICK WILSON TRUSCOTT, PH.D. (HARV.), _Professor of Germanic Languages in the West Virginia University_,

FREDERICK LINCOLN EMORY, M.E. (WOR. POLY. INST.), _Professor of Mechanics and Applied Mathematics in the West Virginia University; Mem. Amer. Soc. Mech. Eng._

NEW YORK: JOHN WILEY & SONS. LONDON: CHAPMAN & HALL, LIMITED. 1902.

Copyright, 1902, BY F. W. TRUSCOTT AND F. L. EMORY.

PAGE PART I. _A PHILOSOPHICAL ESSAY ON PROBABILITIES._

CHAPTER III. General Principles of the Calculus of Probabilities 11

CHAPTER V. Analytical Methods of the Calculus of Probabilities 26

PART II. _APPLICATION OF THE CALCULUS OF PROBABILITIES._

CHAPTER VII. Concerning the Unknown Inequalities which may Exist among Chances Supposed to be Equal 56

CHAPTER VIII. Concerning the Laws of Probability which result from the Indefinite Multiplication of Events 60

CHAPTER IX. Application of the Calculus of Probabilities to Natural Philosophy 73

CHAPTER X. Application of the Calculus of Probabilities to the Moral Sciences 107

CHAPTER XI. Concerning the Probability of Testimonies 109

CHAPTER XII. Concerning the Selections and Decisions of Assemblies 126

CHAPTER XIII. Concerning the Probability of the Judgments of Tribunals 132

CHAPTER XIV. Concerning Tables of Mortality, and the Mean Durations of Life, Marriage, and Some Associations 140

CHAPTER XV. Concerning the Benefits of Institutions which Depend upon the Probability of Events 149

CHAPTER XVI. Concerning Illusions in the Estimation of Probabilities 160

CHAPTER XVII. Concerning the Various Means of Approaching Certainty 176

CHAPTER XVIII. Historical Notice of the Calculus of Probabilities to 1816 185