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The axiomatization of randomness

Published online by Cambridge University Press:  12 March 2014

Michiel van Lambalgen
Michiel van Lambalgen*
Affiliation:
Faculteit Wiskunde en Informatica, Universiteit van Amsterdam, 1018 TV Amsterdam, The Netherlands
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Abstract

We present a faithful axiomatization of von Mises' notion of a random sequence, using an abstract independence relation. A byproduct is a quantifier elimination theorem for Friedman's “almost all” quantifier in terms of this independence relation.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 55 , Issue 3 , September 1990 , pp. 1143 - 1167
Copyright
Copyright © Association for Symbolic Logic 1990

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