[FOM] extensions of Lebesgue measure

martdowd at aol.com martdowd at aol.com
Wed Aug 26 11:57:34 EDT 2015

 Tom Dunion writes:


 -- but who can tell at this point if future progress in quantum physics for example will incorporate an expanded concept of probability beyond today's tidy minded axiomatization in the tradition of Borel and Kolmogorov, and under what set-theoretic assumptions.  

Extensions of the Lebesgue measure have been considered in the literature for some time.
There are even examples which have a "practical" aspect; see

An extension of the Lebesgue measure pertaining to the repeated experiment.
Z.\ Math.\ Logik Grundlag.\ Math.\ 35 (1989), no.\ 3, 193--196.

Martin Dowd

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