Abstract
There are, of course, ways of dealing with this problem, e.g., by taking conditional probabilities as primitive and defining unconditional probabilities in terms of them, rather than the other way around (Popper 1959).See Hjek (2003) for a compelling argument against taking Pr(a b)/ Pr(b) as a definition of Pr(a|b) rather than a constraint on Pr(a|b) in cases where Pr(b) is defined and non-zero.However, there is no consensus on how best to deal with this problem; even if one takes conditional probabilities as primitive, there is no consensus on which axiomatization of conditional probability is correct.See also note 15 on page 12. philosophers' imprint-2vol.13, no.11 (june, 2013) 1. Cr(Ra)/Cr(Ba) is…
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