The committed precise probabilist would respond that setting \(p(X)=0.5\) is suspending judgement. This is the maximally noncommittal credence in the case of a coin flip. More generally, suspending judgement should be understood in terms of maximising entropy (Jaynes 2003; Williamson 2010: 49–72). The imprecise probabilist could argue that this only seems to be the right way to be noncommittal if you are wedded to the precise probabilist representation of belief. That is, the MaxEnt approach makes sense if you are already committed to representation of belief by a single precise probability, but loses its appeal if credal sets are available. Suspending judgement is something you do when the evidence doesn’t determine your credence. But for the precise probabilist, there is no way to signal the difference between suspension of judgement and strong evidence of probability half. This is just the weight/balance argument again.