Strictly speaking, what we have here is only half the story. There is a difference between the representations of belief as regards weight and balance. But that still leaves open the question of exactly what is representing the weight of evidence? What aspect of the belief reflects this difference? One might be tempted to view \(\overline{P}(H)-\underline{P}(H)\) as a measure of the weight of evidence for \(H\). Walley (1991) tentatively suggests as much. However, this would get wrong cases of conflicting evidence. (Imagine two equally reliable witnesses: one tells you the coin is biased towards heads, the other says the bias is towards tails.) The question of whether and how IP does better than precise probabilism has not yet received an adequate answer. Researchers in IP have, however, made progress on distinguishing cases where your beliefs happen to have certain symmetry properties from cases where your beliefs capture evidence about symmetries in the objects of belief. This is a distinction that the standard precise model of belief fails to capture (de Cooman and Miranda 2007).