 Absent specific refinements to the \(\lambda\)–weightings, the quadratic measures seem unsatisfactory as a solution either to the problem of accuracy or to the problem of cognitive value. Suppose you are inquiring into the number of the planets and you end up fully believing that the number of the planets is 9. Given that the correct answer is 8, your credal state is not perfect. But it is pretty good, and it is surely a much better credal state to be in than the opinionated state that sets probability 1 on the number of planets being 9 billion. It seems rather natural to hold that the cognitive value of an opinionated credal state is sensitive to the degree of truthlikeness of the complete answer that it fixes on, not just to its truth value. But this is not endorsed by quadratic measures.