  Understanding quantum theory has been a subject of debate from its birth.
Many different formulations and interpretations have been proposed. Here we
examine a recent novel formulation, namely the coevents formulation. It is a
histories formulation and has as starting point the Feynman path integral and
the decoherence functional. The new ontology turns out to be that of a
coarse-grained history. We start with a quantum measure defined on the space of
histories, and the existence of zero covers rules out single-history as
potential reality (the Kochen Specker theorem casted in histories form is a
special case of a zero cover). We see that allowing coarse-grained histories as
potential realities avoids the previous paradoxes, maintains deductive
non-contextual logic (alas non-Boolean) and gives rise to a unique classical
domain. Moreover, we can recover the probabilistic predictions of quantum
theory with the use of the Cournot's principle. This formulation, being both a
realist formulation and based on histories, is well suited conceptually for the
purposes of quantum gravity and cosmology.
