The Bayesian Treatment of Auxiliary Hypotheses: Reply to Fitelson and Waterman

Fitelson and Waterman's ([2005]) principal objection to Strevens's ([2001]) Bayesian treatment of auxiliary hypotheses rests on a misinterpretation of Strevens's central claim about the negligibility of certain small probabilities. The present paper clarifies and proves a very general version of the claim.