Plato and Aristotle respectively represent two theoretical types in the history of western philosophy, of which two theoretical types specifically refer to?

This guy with a Buddha's light on his face happened to give the wrong answer. Please check it yourself before you answer it. Don't mislead people!

a short answer. Plato's route 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 categorically separated.