 By (P0), (P1) and (P2), we thus have \(C_{P}(h, e\mid k) = f[P(h\mid e \wedge k)]\), implying that the more likely \(h\) is given the evidence the more it is confirmed. This approach explicates confirmation precisely as the overall credibility of a hypothesis (firmness is Carnap’s 1950/1962 telling term, xvi). In this view, “Bayesian confirmation theory is little more than the examination of [the] properties” of the posterior probability function (Howson 2000, 179).