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Published online by Cambridge University Press: 04 February 2010
There is a familiar risk of antinomy if from x is E and p(x is H/x is E) = r it is permissible to infer p(x is H) = r, and what Carnap (1950) called “The requirement of total evidence” will not prevent such antinomies satisfactorily. What is needed instead is a properly developed theory of evidential weight.