Opposite of Empathy ?

Question

If Empathy is having emotion "go into", what would the prefix be for projecting emotion or "come out of"? Apopath? Ekpath?

English speaker here, thanks for helping!

Answer 1

«Εμπάθεια» comes from the words «εν» + «πάσχω», a verb that gives us the noun «πάθος» (passion). 

«Εν» does not always mean “inside” literally; it is used often to describe the engagement in a situation. So, in this way, empathy means that someone is involved in a situation that has to do with this passion. That’s why we don’t speak about "εξωπάθεια" (sic), because something like that would mean that something happens out of us.