 For Levi, the best hypothesis in \(D(B)\) is the complete true answer. But his utility assignment also makes assumptions that may seem problematic: all false hypotheses (even those that make a very small error) are worse than all truths (even the uninformative tautology); all false complete answers have the same utility (see, however, the modified definition in Levi, 1980); among false hypotheses utility covaries with logical strength (i.e. if \(h\) and \(h'\) are false and \(h\) entails \(h'\), then \(h\) has greater utility than \(h')\). These features are motivated by Levi’s project of using epistemic utility as a basis of acceptance rules. But if such utilities are used for ordering rival theories, then the theory of truthlikeness suggests other kinds of principles.