 By a (probabilistic) coherence measure, as defined for ordered sets of propositions, we shall mean any numerical measure \(C(A_1 ,\ldots ,A_n)\) defined solely in terms of the probability of \(A_1 ,\ldots ,A_n\) (and their Boolean combinations) and standard arithmetical operations (Olsson, 2002). This definition makes the degree of coherence of a set of witness reports a function of the probability of the report contents (and their Boolean combinations). Huemer (2011, 45) refers to this consequence as the Content Determination Thesis. We will return to the status of this thesis in section 8, in connection with the recent impossibility results for coherence. A reasonable constraint on any coherence measure is that the degree of coherence of an ordered set should be independent of the particular way in which the content propositions are listed. Thus, \(C(\langle A_1,A_2 , \ldots ,A_n\rangle) = C(\langle B_1,B_2 , \ldots ,B_n\rangle)\) whenever \(\langle B_1,B_2 , \ldots ,B_n\rangle\) is a permutation of \(\langle A_1,A_2 , \ldots ,A_n\rangle\). This is a formal way of stating that all propositions in the relevant set should be treated as epistemic equals. All measures that will be discussed below satisfy this condition.