Abstract
THIS account of the mathematical theory of probability divides naturally into two parts. After a historical introduction the writer gives an account of the addition and multiplication of probabilities, probable errors, and Bernoulli's theorem. Elementary methods only are used in establishing or illustrating these classical results. The second and more valuable part opens with a fairly exhaustive account of the various interpretations of the calculus of probabilities and then proceeds to a critical analysis of its logical foundations. This investigation is interrupted by a chapter dealing with the applications of the theory of probabilities to physics, and then concludes with a rather diffuse account of a definition of probability resting upon the theory of aggregates. The aim of this work is to place the theory of probability on a satisfactory logical foundation, but this goal appears to recede into the distance as we advance towards it.
Le calcul des probabilités: son évolution mathématique et philosophique.
Prof.
L.-Gustave Du
Pasquier
Par. Pp. xxi + 304. (Paris: J. Hermann, 1926.) 49 francs.
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Le calcul des probabilités: son évolution mathématique et philosophique . Nature 119, 921 (1927). https://doi.org/10.1038/119921d0
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DOI: https://doi.org/10.1038/119921d0