 The above response to the Coin Case implements a general strategy. The idea is that some doxastic states are so nuanced that even real numbers are too coarse-grained to distinguish them, so real-valued credences need to be supplemented with something else for a better representation of one’s doxastic states. The above response proposes that the supplement be infinitesimal credences. A second response proposes, instead, that the supplement be comparative probability, with a very different result: abandoning Regularity rather than saving it.