 A different strand of modal interpretations is loosely associated with the (distinct) views of Kochen (1985), Healey (1989) and Dieks (see e.g. Dieks and Vermaas 1998). We focus on the last of these to fix ideas. Van Fraassen’s possible decompositions are restricted to one singled out by a mathematical criterion (related to the biorthogonal decomposition theorem mentioned above in  Section 3.4.1),  and a dynamical picture is explicitly sought (and was later developed). In the case of an ideal (non-approximate) quantum measurement, this special decomposition coincides with that defined by the eigenstates of the measured observable and the corresponding pointer states, and the interpretation thus appears to solve the measurement problem (for this case at least). In Dieks’s original intentions, the approach was meant to provide an attractive interpretation of quantum mechanics also in the case of decoherence interactions, since at least in simple models of decoherence the same kind of decomposition singles out more or less also those states between which interference is suppressed (with a proviso about very degenerate states).