John Earman, Hume's Abject Failure: The Argument Against Miracles (Oxford 2000), p. 8:
. . . if a miracle is a violation of a law of nature, then whether or not the violation is due to the intervention of the Deity, a miracle is logically impossible since, whatever else a law of nature is, it is an exceptionless regularity.
According to a standard way of thinking, miracles are violations of laws of nature. This approach has an impressive pedigree. Thus Thomas Aquinas writes, in the Summa Theologica (Q. 110, art. 4, respondeo), "A miracle properly so called takes place when something is done outside the order of nature." Thomas makes it clear that by 'nature' he means the whole of created nature, and not just physical nature. He concludes that God alone can work miracles.
Thomas also alludes (in Reply Obj. 2) to a distinction between miracles ontically and epistemically construed. This is not his terminology. He speaks of miracles "absolutely" considered and miracles "in reference to ourselves." Something that occurs by a power unknown to us may appear miraculous to us and yet not be miraculous absolutely. We could call that an epistemic miracle: an event which does not contravene a law of nature, but appears to do so due to our ignorance. Genuine miracles, events that in fact do contravene laws of nature, we could call ontic miracles. But don't be misled by the terminology: the suggestion is not that there are two kinds of miracles, epistemic and ontic, but two senses of 'miracle.' 'Epistemic' in 'epistemic miracle' is an alienans adjective.
Now consider:
1. A miracle is an exception to a law of nature.
2. Every law of nature is an exceptionless regularity (though not conversely).
Therefore
3. A miracle is an exception to an exceptionless regularity.
Therefore
4. Miracles are logically impossible.
This argument seems to show that if miracles are to be logically possible they cannot be understood as violations of laws of nature. How then are they to be understood? Please note that (2) merely states that whatever a law of nature is, it is an exceptionless regularity. Thus (2) does not commit one to a regularity theory of laws according to which laws are identified with exceptionless regularities. The idea is that any theory of (deterministic) laws would include the idea that a law is an exceptionless regularity.
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