Partly because of Levi’s injunction to distinguish “imprecise” from “indeterminate” belief, some have objected to the use of the term “imprecise probability”. Using the above distinction between indeterminate, unspecific and imperfectly introspected belief, we can keep separate the categories Levi wanted to keep separate all without using the term “imprecise”. We can then use “imprecise” as an umbrella term to cover all these cases of lack of precision. Conveniently, this allows us to stay in line with the wealth of formal work on “Imprecise Probabilities” which term is used to cover cases of indeterminacy. This usage goes back at least to Peter Walley’s influential book Statistical Reasoning with Imprecise Probabilities (Walley 1991).