  The chief difficulty with criteriological arguments, whether bold or modest, is that they provide no means for taking into account any other considerations that might weigh against the historical claim in question. Intuitively, extreme antecedent improbability ought to carry some weight in our evaluation of the credibility of a factual claim. A defender of a criteriological argument might respond that so long as the bar is set high enough, antecedent improbability will be overwhelmed by the fact that the event does indeed meet the stipulated criteria. But this is a claim that requires argument; and the bolder the conclusion, the more argument it requires.