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Decius comments on The Emergence of Math - Less Wrong
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It's a different error, because quantities aren't inherently algebraic, even though they very often behave as though they were.
For example, arranging apples in a grid three wide and two apples deep requires 6 apples, not 6 apples^2, even though the area of a grid two inches wide and two inches deep is 6 in^2.