There's a distinction that's probably only obvious to people with some grad-level math: Corner cases are not the same as rare cases. Neither implies the other. "Corners" are a measure-0 subset of a space where open-nbhd/non-singleton methods don't apply Ie "special treatment"
our ability to evaluate "goodness" of an abstraction is the hard part. physics is a case where the abstraction is complicated but the evaluation is simple (prediction vs. experimental observation).
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my conjecture is that an abstraction with excessive corners is more likely to be hard to evaluate on "goodness".
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if I was a better math student I'd probably be saying something about Kolmogorov complexity now but I'm too much of dilletante to have a leg to stand on there :/
End of conversation
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