[FOM] Concerning Probability Measures
friedman at math.ohio-state.edu
Thu Feb 16 17:28:18 EST 2006
I have a recollection that there is an old result of Solovay that is
relevant to the discussion with Shipman about RVM. It is a result about ZF
without choice (say with dependent choice):
ZFDC + "there is a countably additive probability measure on all subsets of
are equiconsistent (in fact, mutually interpretable).
Correct me if I am wrong. (Adding omega_2 random reals and taking L(R)?).
This means that the great strength of "there is a ... " is dependent on
having the axiom of choice.
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