"So why call what you do rap? Why pigeon-hole it? Nobody respects that. Every artist always says he's doing something different from everyone else. So reject the rap label. Rap is dead."

Well, to be pedantic about it, rapping isn't the music, it's the, er, rapping. Which a rapper does. Hip-Hop is the music traditionally associated with rapping, and was traditionally performed alongside a scratching DJ. These days, it's all up for grabs, with much hip-hop sounding like techno, and a lot of electronica having absorbed hip-hop influences.

A rapper might rap over techno, rock or dubstep. He's still rapping though. He's still a rapper.