 We could take the cognitive value of believing a single proposition \(A\) to be positive when \(A\) is true and negative when \(A\) is false. But acknowledging that belief comes in degrees, the idea might be that the stronger one’s belief in a truth (or of one’s disbelief in a falsehood), the greater the cognitive value. Let \(V\) be the characteristic function of answers, both complete and partial, to the question \(\{C_1, C_2 , \ldots ,C_n , \ldots \}\). That is to say, where \(A\) is equivalent to some disjunction of complete answers: