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johnswentworth comments on Mixed Reference: The Great Reductionist Project - Less Wrong
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Not sure how good an example apple multiplication is, given that if you multiply 2 apples by 3 apples, you are supposed to get 6 square apples.
I found the use of multiplication particularly useful, since it forced the reader to pay attention to the physical/logical distinction. If, say, addition had been used, then a determined reader could try to use physical constraints alone (though they would be cheating).