So, I'm trying out yet another format for puzzles.
A: Stop thinking so badly!
B: But A, I can't! No matter what, I'll always be not rational.
A: Well, I can help.
B: How can you help? You're not real!
A: I am real! I'm talking to you, and you're real, therefore I'm real.
B: That's not how it works.
A: What, B, now you're a philosopher?
B: Well, I am from the land of great philosophers.
A: Oh, B, you're not Greek!
B: Well, many consider me Greek.
A: But you were known all throughout the lands! The Greeks just made you famous.
B: And what about you, A? What nationality are you?
A: I think I'm Italian.
B: No, you're Greek. Like me. :)
B: Yeah, conceived in Ancient Greece.
A: My history is sketchy.
B: Because you're not real.
A: And you, B, are not rational. What's 1+1?
B: 3, obviously! Also, these days, computers don't understand you.
A: What do you mean?
B: I mean, computers need a full blown object to represent you, full of clunky Polish Notation functions! Me, I'm just several bytes.
A: How could you do that?
B: I'm simple. You're complex.
A: I'm not complex yet. If we join, then we're complex.
B: True. Well, bye!
A: Bye! I can't wait to see you up north at my home!
B: No, come west to mine.
A: We were already in your realm, now it's my turn to host. Bye!
Who's A and who's B?
Everything here is literal.