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Richard von Mises: L'échec d'une axiomatique - publié dans Dialectica, vol. 38, N°4, 1984, pp. 311-317

  • Ariane Szafarz

Nous analysons un épisode important dans l'évolution de la théorie des probabilités: la phase d'axiomatisation. La première approche de ce type fut proposée par Mises en 1919. Elle s'appuie sur le concept de «collectif». La probabilité y est définie comme la valeur-limite de la fréquence relative. La seconde approche, élaborée en 1933 par Kolmogorov, s'inscrit dans la lignée des travaux de Borel d'inspiration purement analytique. Cette dernière axiomatique fut unanimement choisie tant par les théoriciens que par les empiristes. Après avoir présenté les divers arguments invoqués lors de la confrontation des deux théories, nous en proposons une interprétation épistémologique.

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Paper provided by ULB -- Universite Libre de Bruxelles in its series Working Papers CEB with number 07-005.RS.

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Length: 9 p.
Date of creation: 1984
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Handle: RePEc:sol:wpaper:07-005
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