 The new enlarged set \(S'\) is more coherent than the original smaller set \(S\). And yet \(S\), being less informative, is more probable than \(S'\): the conjunction of all the propositions in \(S\) is more probable than the conjunction of all the propositions in \(S'\). Hence, more coherence does not necessarily imply higher likelihood of truth in the sense of higher joint probability. Klein and Warfield seem to be right: coherence is not truth conducive.