 We then have two results concerning coherent admissible epistemic disutility functions. On the first, we restrict attention to the case in which \(\mathcal{F}\) is a partition, and we prove that, together with Undominated Dominance, we can establish Probabilism; on the second, we focus on the case in which \(\mathcal{F}\) is an algebra, and we prove that, together with Naive Dominance, we can establish Probabilism.