WLC: "You can't prove the negative"

[Belacqua]

All throughout his works, Plato tries to use logic, reason and mathematics to justify his ideas, with little to no appeal to empiricism.  If he were alive today, he may have thought much differently about things.

Does the fact that you changed the subject mean that you agree with me about Plato's belief in the activity of the gods?

With some exceptions, Plato asked questions like "what is justice?" or "what is knowledge?" or "is a good life determined by the amount of pleasure one has, or by the amount of admiration one receives, or something else?" or "what is the best kind of government?" These are not questions that can be answered through empirical means. 

Do you think he would have been a better person if he had given up such questions and worked on empirical research?

It seems likely to me that he agreed with his teacher: research into things like the speed of the planets is of little value if we are bad people living bad lives.