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Axioms for randomness
Teoriâ veroâtnostej i ee primeneniâ, Tome 38 (1993) no. 3, pp. 670-674 Cet article a éte moissonné depuis la source Math-Net.Ru

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An axiomatic system of probability theory is outlined in which randomness and independence are taken as primitives. Such approach goes back to von mises. The axioms proposed contradict the axiom of choice, but are compatible with the axiom of dependent choice, and this is sufficient for practical needs.
Keywords: Foundations of probability theory, Von Mises approach. 
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M. Van Lambalgen. Axioms for randomness. Teoriâ veroâtnostej i ee primeneniâ, Tome 38 (1993) no. 3, pp. 670-674. http://geodesic.mathdoc.fr/item/TVP_1993_38_3_a19/