It seems that examples of dilation undermine the earlier claim that imprecise probabilities allow you to represent the difference between the weight and balance of evidence (see section 2.3): learning \(Y\) appears to give rise to a belief which one would consider as representing less evidence since it is more spread out. This is so because the prior credence in the dilation case is precise, not through weight of evidence, but through the symmetry discussed earlier. We cannot take narrowness of the interval \([\underline{P}(X), \overline{P}(X)]\) as a characterisation of weight of evidence since the interval can be narrow for reasons other than because lots of evidence has been accumulated. So my earlier remarks on weight/balance should not be read as the claim that imprecise probabilities can always represent the weight/balance distinction. What is true is that there are cases where imprecise probabilities can represent the distinction in a way that impacts on decision making. This issue is far from settled and more work needs to be done on this topic.