This even-handed treatment addresses the decades-old dispute among probability theorists, asserting that both statistical and inductive probabilities may be treated as sentence-theoretic measurements, and that the latter qualify as estimates of the former. Discusses sentence theory, set theory, statistical probabilities, inductive probabilities, more. Illustrations and footnotes elucidate definitions, theorems, and technicalities. 1962 edition. Unabridged republication of the edition published by Prentice-Hall, Englewood Cliffs, New Jersey, 1962.
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Probability, Statistics and Truth by Richard von Mises This comprehensive study of probability considers the approaches of Pascal, Laplace, Poisson, and others. It also discusses Laws of Large Numbers, the theory of errors, and other relevant topics.
Probability: An Introduction by Samuel Goldberg Excellent basic text covers set theory, probability theory for finite sample spaces, binomial theorem, probability distributions, means, standard deviations, probability function of binomial distribution, more. Includes 360 problems with answers for half.
A Philosophical Essay on Probabilities by Marquis de Laplace Without the use of higher mathematics, this classic demonstrates the application of probability to games of chance, physics, reliability of witnesses, astronomy, insurance, democratic government, and many other areas.
