 Let us return to the example with John. The proposition \(A\), while not logically entailed by \(B\) and \(C\), is under normal circumstances nevertheless supported by those propositions taken together. If we assume that John owns the relevant type of gun and deposited a large sum the next day, then this should raise the probability that John did it and thereby also raise the probability that he was at the crime scene when the robbery took place. Similarly, one could hold that each of \(B\) and \(C\) is supported, in the probabilistic sense, by the other elements of the set. If so, this set is not only coherent in an intuitive sense but also coherent according to Lewis’s definition. Against Lewis’s proposal one could hold that it seems arbitrary to focus merely on the support single elements of a set receive from the rest of the set (cf. Bovens and Olsson 2000). Why not consider the support any subset, not just singletons, receives from the rest?