 In sections  4  and  5,  we identify a specific epistemic goal and treat epistemic disutility functions as measures of the distance of an epistemic state from that goal in a given situation; we lay down conditions that it is claimed all such measures must satisfy. In  section 6,  we take an alternative route: we lay down putative general conditions on any epistemic disutility function, which it is claimed such a function must satisfy regardless of whether or not it is a measure of distance from a specified epistemic goal. In the next section, we state Probabilism precisely, so that we can refer back to it later.