A modulus of 0 makes no sense to a non-mathematically trained person. Your explanation of "mod" meaning "mapping" makes no sense the way you wrote it, either.
Who cares what Knuth said, anyway? His name should
not add any weight to his arguments.
Every definition of modulus that turned up in a quick
scan of mine uses the word "remainder" and implies division
by the modulus.
Clarified and toned down my first paragraph
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