 So far, then, we have considered the following reactions to the Preface Paradox: reject the Preface Paradox altogether; follow MacFarlane and cling to the strict ought-based principle at the cost of accepting an irresolvable normative clash; or opt for the weaker reason operator and give up the intuition motivating the  Strictness Test.  But none of these proposals incorporates what is perhaps the most natural response to the Preface Paradox outside of the debate surrounding the normativity of logic. A standard response to the Preface Paradox consists in appealing to graded credal states in lieu of “full” (“qualitative”, “binary” or “all-or-nothing”) beliefs. Such “credences” or “degrees of belief” (I will use the two labels interchangeably) are typically modeled by means of a (possibly partial) credence function (which we will denote by “\(cr\)”) that maps the set of propositions into the unit interval. Probabilists maintain that an ideally rational agent’s credence function ought to be (or at least ought to be extendable to) a probability function (i.e., it ought to satisfy the standard axioms of probability theory). In other words, an ideally rational agent should have probabilistically coherent credences.