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from Ludwik Kowalski <KowalskiL@MAIL.MONTCLAIR.EDU>:
>
> A mathematician, you are to likely agree, could not function without
> a definition. Right?
No. Geometry works just fine without defining point, line, or plane.
It provides a lesson on the unimportance of definitions. Students often
demand a definition of this or that, and they get really ticked off if they
don't get one. But I suspect most real-world physicists get along just
fine without having a precise definition of "wave". Biologists can't even
agree on the definition of "plant" and "animal".