Abstract
Probability theory has become a topic of interest in modern mathematics not only because of its growing significance in natural sciences, but also because of the gradually emerging deep connections of this theory with many problems in various fields of pure mathematics. It seems that the formulas of probability calculus express one of the fundamental groups of general mathematical laws.
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Trudy Kommunist. Akad. Razd. Mat.1 (1929), 8-21 (in Russian).
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Notes
Fund. Math.4.
My results in C. R. Acad. Sci. Paris (1925) point out the similarity of these two problems.
Of course, everything that follows can be presented without introducing the notion of metric type as based on the “subdivision” axiom. Instead the notion of metric “equality” of sets can be used.
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© 1992 Springer Science+Business Media Dordrecht
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Shiryayev, A.N. (1992). 7. General Measure Theory and Probability Calculus. In: Shiryayev, A.N. (eds) Selected Works of A. N. Kolmogorov. Mathematics and Its Applications (Soviet Series), vol 26. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2260-3_7
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DOI: https://doi.org/10.1007/978-94-011-2260-3_7
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