Starting from standard logics of knowledge and belief with principles such as introspection of beliefs and 'knowledge implies belief', we study two non-normal modalities of belief: true belief about a proposition and what we call mere belief about a proposition. We show that these modalities suffice to define all possible epistemic-doxastic situations in a combinatorial manner. Furthermore, we show that two consecutive modalities that are indexed by the same agent can be reduced for two of the three logics of knowledge and belief that we consider.