Pierre-Simon Laplace Philosophical Essay on Probabilities: Translated from the fifth French edition of 1825 With Notes by the Translator: Sources in the History of Mathematics and Physical Sciences, cartea 13

Philosophical Essay on Probabilities.- On probability.- General principles of the probability calculus.- On expectation.- On analytical methods in the probability calculus.- Applications of the probability calculus.- On games of chance.- On unknown inequalities that may exist on between supposedly equal chances.- On laws of probability resulting from the indefinite repetition of events.- Application of the probability calculus to natural philosophy.- Application of the probability calculus to the moral sciences.- On the means of the results of a large number of observations.- On the probability of testimony.- On elections and decisions of assemblies.- On the probability of judicial decisions.- On tables of mortality and the mean duration of life, marriages and associations in general.- On the benefits of institutions that depend on the probability of events.- On illusions in the estimation of probabilities.- On various approaches to certainty.- Historical note on the probability calculus.- Notes.