Inspired by the famous “Bertrand paradox”, Chandler (2014) offers a neat argument that the precise probabilist cannot jointly satisfy two desiderata relating to suspension of judgment about a variable. First desideratum: if you suspend judgement about the value of a bounded real variable \(X\), then it seems that different intervals of possible values for \(X\) of the same size should be treated the same by your epistemic state. Second desideratum: if \(Y\) essentially describes the same quantity as \(X\), then suspension of judgement about \(X\) should entail suspension of judgement about \(Y\). Let’s imagine now that you have precise probabilities and that you suspend judgement about \(X\). By the first desideratum, you have a uniform distribution over values of \(X\). Now consider \(Y = 1/X\). \(Y\) essentially describes the same quantity that \(X\) did. But a uniform distribution over \(X\) entails a non-uniform distribution over \(Y\). So you do not suspend judgement over \(Y\). A real-world case of variables so related is “ice residence time in clouds” and “ice fall rate in clouds”. These are inversely related, but describe essentially the same element of a climate system (Stainforth et al. 2007: 2154).