 Lin and Kelly (2012) study  acceptance rules that specify a mechanism for transitioning gracefully into the qualitative and out of the probabilistic system. An acceptance rule \(\alpha\) maps every partial belief state \(\Pr\) to a unique qualitative belief state \(\alpha(\Pr)\) with which it coheres. For example, the strong Lockean thesis determines an acceptance rule once we specify a threshold. The Humean thesis, on the other hand, underdetermines an acceptance rule, merely imposing constraints on acceptable pairs \(\langle \Bel, \Pr \rangle.\) An agent’s qualitative updates  track her probabilistic updates iff \[\alpha(\Pr)_E=\alpha(\Pr_E),\] whenever \(\Pr(E)&gt;0\). In other words: acceptance followed by qualitative revision yields the same belief state as probabilistic revision followed by acceptance.