When cold water comes out of the 'hot' tap, and hot water out of the 'cold,' is it a miracle? No, it is summertime in the desert. (The pipe from the water heater runs through the air-conditioned house; the cold water line comes from outside where the temperature is in the triple Fahrenheit digits. So if I want nice cold water for a short time, I turn on the 'hot' tap.)
What appears to be an exception to an exceptionless regularity is not one at all, for the apparent exception is itself regular. The statement, "Hot from 'hot,' cold from 'cold'," has a counterexample. But it does not follow that the underlying regularity has an exception. For if the underlying regularity were to be captured in a complete statement, that statement would be seen to have no counterexamples since all the exceptions would have been built into it.
This is just a little 'warm-up' for a further series of posts on miracles. And I just noticed that Frege (whom to have on one's side in a logic fight is like having Doc Holliday on one's side in a gunfight) seems to be on my side:
The word 'law' is used in two senses. When we speak of laws of morals or the state we mean regulations which must be obeyed but with which actual happenings are not always in conformity. Laws of nature are the generalization of natural occurrences with which the occurrences are always in accordance. (First paragraph of "The Thought: A Logical Inquiry")
A law may be more than an exceptionless regularity, but it is at least one.
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