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Aristotle on the Difference between Mathematics and Physics and First Philosophy

One might ask this question too, why a boy can become a mathematician, but not a philosopher or a physicist. Is it because the objects of mathematics are abstractions while the first principles of these other subjects come from experience, and young men have not conviction about the latter but merely use the proper language, while the essence of mathematical objects is plain enough to them? (N E VI 8, 1142al6-19; trans, follows Ross)