 An old epistemicist might reply: My piecemeal confidence that a given number is not the threshold for oldness does not agglomerate into collective confidence that there is no such number. If I wager against each number being the threshold, then I must have placed a losing bet somewhere. For if I won each bet then there was no opportunity for me to make the transition to oldness. My bookie could have made a “Dutch book” against me. He would have been entitled to payment without having to identify which bet I lost. Since probabilities may be extracted from hypothetical betting behavior, I must actually assign some small (normally negligible) probability to hypotheses identifying particular thresholds. So must you.