Independence, randomness and the axiom of choice

Journal of Symbolic Logic 57 (4):1274-1304 (1992)
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We investigate various ways of introducing axioms for randomness in set theory. The results show that these axioms, when added to ZF, imply the failure of AC. But the axiom of extensionality plays an essential role in the derivation, and a deeper analysis may ultimately show that randomness is incompatible with extensionality



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Michiel Van Lambalgen
University of Amsterdam

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References found in this work

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Traditional Cavalieri principles applied to the modern notion of area.John C. Simms - 1989 - Journal of Philosophical Logic 18 (3):275 - 314.

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