An accuracy characterisation of approximate coherence

Accuracy-first epistemologists argue that rational agents have probabilistically coherent credences. But why should we care, given that we can’t help being incoherent? A common answer: probabilistic coherence is an ideal to be approximated as best one can. De Bona (in: Philos Sci 84(2), 189–213, 2017) and Staffel (in: Unsettled thoughts: a theory of degrees of rationality, Oxford University Press, 2019) show how accuracy-firsters can spell out this answer by adopting an appropriate notion of approximate coherence. In this essay, I argue that De Bona and Staffel’s proposal is not entirely satisfactory, because it does not show whether, or why, it’s generally better to be more rather than less approximately coherent from an accuracy-first perspective. To address this point, I give a characterisation of their notion of approximate coherence in terms of accuracy. This shows that accuracy-firsters should maintain that more approximately coherent credences are better than less approximately coherent ones if and only if they accept that it’s better to miss out on less rather than more guaranteed accuracy.