 Whatever merits Huemer’s new conditions might have, their standing in the literature is hardly comparable to that of the original conditions. Conditional Independence, for instance, is an extremely powerful and intuitive concept which has been put to fruitful use in many areas in philosophy and computer science, the most spectacular example being the theory of Bayesian networks (Pearl, 1985). Similarly, the Nonfoundationalist condition is still the most widely used—and many would say most natural—way of stating, in the language of probability theory, that a testimony fails to support that which is testified. Thus, it would seem that coherentism is saved at the price of disconnecting it from the way in which probability theory is standardly applied. Roche (2010) criticizes Nonfoundationalism from another perspective. In his view, a close reading of BonJour reveals that the latter requires only that the witness reports lack individual credibility in the sense that \(P(A \mid E_i) = 0.5\) and not in the sense of \(P(A \mid E_i) = P(A)\), which is the condition we called Nonfoundationalism. Since the former does not entail the latter, coherentists, to the extent that they follow BonJour, need not worry about the joint inconsistency of Conditional Independence, Nonfoundationalism and Coherence Justification. Still, this account of what it means to lack initial credibility is non-standard if taken as a general characterization, and it may in the end be more charitable to interpret BonJour as not having subscribed to it. For an elaboration of this point the reader is referred to Olsson (2005, 65), footnote 4. In later works, BonJour has gradually retracted from his original coherentist position (e.g., BonJour 1989 and 1999).