I've heard a version in which after the mathematician speaks, the shepherd yells “Snowy White [the name of the sheep]! Stop rolling in the mud!”
Best version, in my snap judgment. The story, told this way, is about the different modes of thinking of astronomers, physicists, mathematicians, and shepherds. (and there are other variations about the approaches of stage magicians and cognitive psychologists, each of which has a characteristic interest. As a pure and careful thinker, the mathematician comes up with something similar to the practical approach of the stage magician, or the more-carefully-specified approach of the cognitive psychologist.)
But the shepherd is living in a different realm, very...
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