 EH is often regarded as relevant for explicating the nature of randomness in deterministic dynamical systems. It is not clear, however, what notion of randomness this claim invokes. The formal definitions of EH do not make explicit appeal to randomness and the usual ways of presenting EH do not involve any specification of the notion of randomness that is supposed to underlie EH. As suggested in Section 5, EH can be interpreted as a hierarchy of randomness if degrees of randomness are explicated in terms of degrees of unpredictability, which in turn are explicated in terms of (coherent) conditional degrees of beliefs. In order for these degrees of belief to be indicative of the system’s dynamical properties, they have to be updated according to a system’s dynamical law. The idea is then that the different levels of EH, except for merely ergodic systems, correspond to different kinds of unpredictability, which correspond to different patterns of decay of correlations between systems’ past states and their present states. Merely ergodic systems seem to display no randomness, as the correlations between their past and present states need not decay at all.