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Short Communications

Axioms for randomness

M. Van Lambalgen

Department of Mathematics, University of Amsterdam, Amsterdam

Abstract: 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.

Received: 23.01.1991

Language: English

 English version: Theory of Probability and its Applications, 1993, 38:3, 562–566

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