She asks if he knows Illyrio, the guy who gave her those eggs. He does. She points out that they hatched. "When I stepped into the fire, my own people thought I was mad. But when the fire burned out, I was unhurt. The Mother of Dragons. Do you understand? I'm no ordinary woman. My dreams come true." She's leaning pretty hard on the "mother of dragons" angle. Look, just because you have some exotic pets does not mean you're going to conquer an entire kingdom. Spice Kingpin says, "I admire your passion. But in business, I trust in logic, not passion." Then he calls her "little princess," which she finds demeaning, because she'll take what is hers with fire and blood. "Yes, my lady. But not with my ships."
Arya cleans up Tywin's table during one of the rare moments that it's not surrounded by people being yelled at for being incompetent. She sees a note that says "Robb Stark" on it, but we don't have time to read the whole thing. Tywin appears behind her and asks who taught her to read. She says it was her father. Tywin reminisces about the time he tried to teach Jaime to read, but the letters kept reversing in his head. So that's why it's spelled "Jaime" and not "Jamie" like I want it to be! Back then, a Maester told Tywin it was a waste of time, but Tywin sat Jaime down for four hours a day until he learned.