I present a discussion of some open issues in the philosophy of space-time theories.
Emphasis is put on the ontological nature of space and time, the relation between determinism and
predictability, the origin of irreversible processes in an expanding Universe, and the compatibility of
relativity and quantum mechanics. In particular, I argue for a Parmenidean view of time and change,
I make clear the difference between ontological determinism and predictability, propose that the
origin of the asymmetry observed in physical processes is related to the existence of cosmological
horizons, and present a non-local concept of causality that can accommodate both special relativity
and quantum entanglement.