Secondly, she could have credence q, yet acknowledge the bet above as explicitly unfair.
If I were to have credence function \(c^\dag\), I would be more accurate than I would be were I to have any other credence function.
Someone who knows the chance of A should, by the Principal Principle, have credence 1 in 2n that A will happen.
But given the chance of A, it is possible to deduce ~A, and hence have credence in A. This looks like an inconsistency, so like any principle that implies a contradiction, the Principal Principle must be false.
In short, consumers have a problem determining the quality of credence goods, producers have a problem convincing consumers that the goods have credence characteristics and are priced appropriately, and as a result, there appears to be a substantial risk that markets will fail and exchange will be thwarted.
For some single outcomes for example, the next toss of a coin that is biased ⅔ towards heads—only very few assignments of credence are reasonable; in that case, we should, if we are rational, have credence of ⅔ in the coin landing heads.
Their beliefs that undemanding behaviour would lead to more expeditious care at times of need have credence when set against those of general practitioners, who believe, with some justification, that they should be alert to serious disease in patients who are infrequent consulters [ 25].
According to Bayesian epistemologists and philosophers of science, (i) rational agents have credences differing in strength, which moreover (ii) satisfy the probability axioms, and can thus be represented in probabilistic form.
In the case of the coherentist described above, who proposes that it is a vice to have credences that fail to cohere in a particular way, there is a very natural instance of this strategy.
