Kolmogorov's Мethodological Analysis of Applications of Probability Theory
The importance of Cournot principle that links mathematics and world experience according to Kolmogorov is examined. The inadequacy of the principle to empirical philosophy as well as the inadequacy of the synthesis of the law of large numbers theorem and of the principle for justifying the proximity of theoretical and empirical values is demonstrated. The article's conclusion validates Kolmogorov's estimation stating that his application conditions of probability theory are close to those of Mises.