A Philosophical Essay on Probabilities

A Philosophical Essay on Probabilities is a work by Pierre-Simon Laplace on the mathematical theory of probability. The book consists of two parts, the first with five chapters and the second with thirteen.

Table of Contents

 * Part I - A Philosophical Essay on Probabilities
 * 1) Introduction
 * 2) Concerning Probability
 * 3) General Principles of the Calculus of Probability
 * 4) Concerning Hope
 * 5) Analytical Methods of the Calculus of Probability
 * Part II - Application of the Calculus of Probabilities
 * 1) Games of Chance
 * 2) Concerning the Unknown Inequalities which may Exist among Chances Supposed to be Equal
 * 3) Concerning the Laws of Probability which result from the Indefinite Multiplication of Events
 * 4) Application of the Calculus of Probabilities to Natural Philosophy
 * 5) Application of the Calculus of Probabilities to the Moral Sciences
 * 6) Concerning the Probability of Testimonies
 * 7) Concerning the Selections and Deliberations of Assemblies
 * 8) Concerning the Probability of the Judgements of Tribunals
 * 9) Concerning Tables of Mortality, and the Mean Durations of Life, Marriage and Some Assemblies
 * 10) Concerning the Benefits of Institutions which Depend on the Probability of Events
 * 11) Concerning Illusions in the Estimation of Probabilities
 * 12) Concerning the Various Means of Approaching Certainty
 * 13) Historical Note of the Calculus of Probabilities to 1816