×

D’Alembert’s critique of probability theory. (English) Zbl 0422.01010


MSC:

01A50 History of mathematics in the 18th century
60-03 History of probability theory
Full Text: DOI

References:

[1] d’Alembert, J., Croix ou Pile, (Encyclope´die, ou Dictionnaire Raisonne´des Sciences, des Arts et des Me´tiers, Vol. 4 (1784), Socie´te´des Gens de Lettres: Socie´te´des Gens de Lettres Paris), 512-513
[2] d’Alembert, J., Ge´ome‘tre, (Encyclope´die, ou Dictionnaire Raisonne´des Sciences, des Arts et des Me´tiers, Vol. 7 (1757), Socie´te´des Gens de Lettres: Socie´te´des Gens de Lettres Paris), 627-696
[3] d’Alembert, J., Opuscles Mathe´matiques, Vol. 7 (1780), Paris
[4] d’Alembert, J., Dictionnaire encyclope´dique des mathe´matiques (1789), Bossut: Bossut Paris, 3 vols
[5] d’Alembert, J., Traite´de dynamique (1796), Paris
[6] d’Alembert, J., Essai sur lese´le´ments de philosophie, (Oeuvres de d’Alembert, Vol. 1 (1821)), 115-348, Paris
[7] d’Alembert, J., Doutes et questions sur le calcul des probabilite´s, (Oeuvres de d’Alembert, Vol. 1 (1821)), 451-462, Paris
[8] d’Alembert, J., Preliminary discourse to the encyclopedia (1963), Bobbs-Merrill: Bobbs-Merrill Indianapolis, R. Schwab, transl.
[9] Baker, K., Condorcet: From natural philosophy to social mathematics (1975), University of Chicago Press: University of Chicago Press Chicago
[10] Bernoulli, D., Recueil des pie“ces qui ont remporte´le prix de l”acade´mie des sciences, Vol. 3, 95-122 (1734)
[11] Bernoulli, D., Essai d’une nouvelle analyse de la mortalite´par la petite verole, et des avantages de l’inoculation pour la pre´venir, (Histoire et me´moires de l’acade´mie des science 1760, 2 (1760)), 1-79
[12] Condorcet, M-J-A-N., Me´moire sur le calcul des probabilite´s, Histoire et me´moires de l’acade´mie des sciences 1781, 707-728 (1784)
[13] Condorcet, M-J-A-N., Essai sur l’application de l’analysea‘la probabilite´des de´cisions renduesa‘la pluralite´des voix (1785), Paris
[14] Condorcet, M-J-A-N., E´le´ments du calcul des probabilite´s (1805), Paris
[15] Condorcet, M-J-A-N., E´loge de M. d’Alembert, (Arago, F.; Condorcet-O’Connor, A., Oeuvres de Condorcet, Vol. 3 (1847)), 51-110, Paris
[16] Condorcet, M-J-A-N. Bibliothe“que de l”Institut MS 875, ff. 84-99.; Condorcet, M-J-A-N. Bibliothe“que de l”Institut MS 875, ff. 84-99.
[17] Descartes, R., Rules for the direction of the mind, (The philosophical works of Descartes, Vol. 1 (1955)), 1-51, G.R.T. Ross and E.S. Haldane, transl.
[18] Feller, W., An introduction to probability theory and its applications (1957), Wiley: Wiley New York · Zbl 0138.10207
[19] Granger, G., La mathe´matique sociale du Marquis de Condorcet (1956), Presses Universitaires: Presses Universitaires Paris
[20] Hankins, T., Jean d’Alembert: science and the enlightenment (1972), Clarendon Press: Clarendon Press Oxford · Zbl 0925.01014
[21] Laplace, P-S., Me´moire sur la probabilite´des causes par lese´ve´nements, Me´moires de l’Acade´mie des Sciences (Savants Etrangers), 6, 621-656 (1774)
[22] Laplace, P-S., Essai philosophique sur les probabilite´s (1825), Paris · JFM 48.0008.05
[23] Laplace, P-S., The´orie analytique des probabilite´s, (Oeuvres de Laplace, Vol. 7 (1847)), 1843-1847, edition
[24] Maistrov, L. E., Probability: a historical sketch, (Kotz, S. (1974), Academic Press: Academic Press New York), transl. · Zbl 0308.01001
[25] Montucla, J. F., (Paris: J. Lalande, Histoire des mathe´matiques, Vol. 3 (1802))
[26] Rowbotham, A., The Philosophes and the propaganda for inoculation of smallpox in eighteenth century France, University of California Publications in Modern Philology, 18, 265-290 (1935)
[27] Todhunter, I., A history of the mathematical theory of probability from the time of Pascal to that of Laplace (1949), Chelsea: Chelsea New York, Originally published in 1865
[28] Voltaire, Lettre XI, (Lettres philosophiques (1734)), Paris
[29] Yamazaki, E., D’Alembert et Condorcet: quelques aspects de l’histoire du calcul des probabilite´s, Japanese Studies in the History of Science No. 10, 60-93 (1971) · Zbl 0241.01010
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.