Do You Believe In Miracles and/or The Supernatural? I'd like to follow Hume down his rabbit hole a bit. Elsewhere, in his sceptical discussion of causation, he notes that the laws of nature are derived from past experience of regularities, and, though he doesn't put it this way, descriptive rather than prescriptive. He concludes that there can be nothing in the laws of nature that dictate the future; this is the problem of induction that I like to summarise as 'you can't get a will be from a has been'.
Accordingly, in looking at the past, one is looking at nature, and in noticing regularities one is calling them laws. So in noticing irregularities in the past one says, either there is a regularity that we haven't penetrated yet because it is complicated, or else that there is no regularity, and we have randomness.
As to the future, there is nothing that can possibly be a violation of the laws of nature because there is no law (derived from the past) that can tell us that the future will be like the past.
And as to the past, there is nothing that can possibly be a violation of nature, because if there is a violation, then that is not the law as the regularity is not regular.
None of which is to deny that weird shit might have happened, and weird shit might happen in the future. So it's not, as it turns out very helpful, because in ruling out miracles, nothing whatsoever is ruled out.
In order to be saying something more than 'I don't want to use that word', one has to give 'miracle' a meaning such that it is not ruled out a priori, but is the kind of thing that there could be as a logical possibility, but that there isn't (or is) as a matter of fact.
However, one can take another view, and find another definition. Let us say instead, that the laws of nature describe the orderly succession of events, such that the present is conditioned by the past. Now if the laws of nature are complete, and the succession is entirely orderly, then if, the big bang then I write this post. That is, initial conditions + physics determine history.
But that is an old-fashioned notion, because randomness seems to be built in. And randomness in radioactive decay, for example, seems to be unconditioned by the past.
But there is a logical possibility, I think, of something that is unconditioned by the past and non-random, and that would be a reasonable definition of a miracle, I think. It is difficult, because if it is not conditioned by the past, it would appear to be random - I'm not entirely sure if there is a way of telling, and if there is in principle no way of our distinguishing the non-random unconditioned event from the random event, then there is no way of answering the question of whether there are miracles or not. Nevertheless, I think the definition gets close to what folks want to mean by a miracle, and if it still leaves it open as to whether they happen or not, that is in accordance with the fact that fairly sensible people can disagree about it.
I think, finally, that if there is any criterion for distinguishing the random from the miraculous, it must lie in the meaning/significance of the event. But that is a can of worms for another day, or another poster.