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Medieval philosophy of mathematics
This guy with a Buddha's light on his face happened to say it backwards. Please check for yourself before you answer. Don't mislead people!

Simple answer. The route represented by Plato is realism (medieval philosophy) → rationalism (modern philosophy).

Aristotle's route is: nominalism (medieval philosophy) → empiricism (modern philosophy)

Of course, there are also intersections between the two, and the boundaries are not completely separated.