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I'd say that if your college allows it, that you should take a wide variety of courses in mathematics,
philosophy, and the sciences (and yes, in the arts) for the first year or even two years, and find out
just what you're most interested and talented in... and go with that. You won't make nearly the money
in math and particularly in philosophy that you'd make in engineering, I can tell you. But if it's what
you really want to do... do it.
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