Indeterminism in modern physics has supposed an important change of paradigms for our scientific understanding of physical reality. In fact this change, from a philosophical point of view, is still stimulating a lot of reflections and discussions which hold a great conceptual significance, in such a way that the philosophical virtualities of the new indeterministic paradigm are very far from being exhausted. These theoretical possibilities especially refer to the ontological and epistemological levels, which, as a rule, are connected to one another a natural extent. In this work, I will mainly pay attention to some ontological consequences originating in indeterminism, that is to say, to some new philosophical categories that can be considered a legacy of science to philosophy at the end of Modernity.