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math.PR2026
The non-mathematical section of Kolmogorov's Grundbegriffe
Vladimir Vovk
Kolmogorov's "Grundbegriffe der Wahrscheinlichkeitsrechnung" introduced the standard measure-theoretic formalization of probability but included only a two-page section about the r…
math.PR2009★ 1 cited
Levy's zero-one law in game-theoretic probability
Glenn Shafer, Vladimir Vovk, Akimichi Takemura
We prove a game-theoretic version of Levy's zero-one law, and deduce several corollaries from it, including non-stochastic versions of Kolmogorov's zero-one law, the ergodicity of…