 We recall that Lewis’s defined coherence, or congruence, not for any old set of proposition but rather for a set of supposed facts asserted. One way to capture this idea is in terms of the notion of a testimonial system introduced in Olsson (2005). A testimonial system \(S\) is a set \(\{\langle E_1,A_1\rangle ,\ldots ,\langle E_n,A_n\rangle \}\) where \(E_i\) is a report to the effect that \(A_i\) is true. We will say that \(A_i\) is the content of report \(E_i\). The content of a testimonial system \(S = \{\langle E_1,A_1\rangle , \ldots ,\langle E_n,A_n\rangle \}\) is the ordered set of report contents \(\langle A_1 ,\ldots ,A_n\rangle\). By the degree of coherence \(C(S)\) of such a testimonial system we will mean the degree of coherence of its content. Bovens and Hartmann (2003) proposed a similar representation of supposed facts asserted in terms of ordered sets.