  Third, there are deep philosophical disagreements regarding the nature and even the existence of natural laws. On Hume’s own “regularity” view of natural laws, it is difficult to see what it would mean for a natural law to be violated. If the natural laws are simply compendious statements of natural regularities, an apparent “violation” would most naturally be an indication, not that a supernatural intervention in the course of nature had occurred, but rather that what we had thought was a natural law was, in fact, not one. On metaphysically rich conceptions of natural laws, violations are problematic since the laws involve relations of necessity among universals. And on the view that there are no natural laws whatsoever, the set of events satisfying the Humean definition of a miracle is, trivially, empty.