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The history and the philosophical and methodological foundations of Richard von Mises's probability theory - MaRDI portal

The history and the philosophical and methodological foundations of Richard von Mises's probability theory (Q2713207)

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The history and the philosophical and methodological foundations of Richard von Mises's probability theory
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    8 May 2001
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    probability theory
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    Mises, R. von
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    Khinchin, A. Ya.
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    Kolmogorov, A. N
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    The history and the philosophical and methodological foundations of Richard von Mises's probability theory (English)
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    This is a superficial essay. The author heavily draws on A. Ya. Khinchin's relevant review [Voprosy Filosofii No. 1, and 2, 1961; English translation in S. N. Bernstein et al., From Markov to Kolmogorov. Russian Papers on Probability and Statistics. Egelsbach (1998; Zbl 0936.01001) and indicates that Kolmogorov, in 1963, essentially softened his attitude towards the theory.NEWLINENEWLINENEWLINEThe essay contains numerous mistakes and ambiguities. Mises had indeed described his ``axiomatic'' natural scientific frequentist theory in his lectures of 1914, but he did not publish anything relevant until 1919, so that S. N. Bernstein (1917) [reprinted in his Collected Works, Vol. 4 (1964; Zbl 0198.50902)] was the first to put out an axiomatic probability theory. Then, it is far-fetched to call ``axiomatic'' a theory not belonging to mathematics or physics. The dates of several publications (e.g., of Khinchin's review) are wrong; Poisson is alleged to have applied his law of large numbers to dependent events etc.
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