Or, since science is tentative, must we leave our minds open to the possibility that not all phenomenon follow what we call the laws of nature or even have laws, but that they still occur within our natural world, in which case miracles lie within science and can be studied. We can ask and try to answer the question of how and under what conditions the laws of nature are not followed. This is my and Tangle's position.
I think this sums up what I see as slightly incoherent about your position. If you are able to answer the question of 'how and under what conditions the laws of nature are not followed', then the laws of nature
are being followed, otherwise there would be no coherent answer.
And I get further confused by:
But if they're non-deterministic in the way of the two-slit experiment and wave/particle duality, if they occur without cause, then the label of "miracle" seems valid.
Does this mean you think the quantum mechanical effects are miracles? If not, why would miracle be a valid label for other, non-deterministic effects?