I understand the point, but have to disagree a bit. Skill is as important in Math as anywhere else. The breakthrough ideas of Godel or Einstein would have been

I understand the point, but have to disagree a bit. Skill is as important in Math as anywhere else. The breakthrough ideas of Godel or Einstein would have been lost forever has those guys not also backed them up with solid mathematical evidence which requires great skill. Godel's proof and the complex math behind relativity and Einstein's fight to improve his math skills to justify his ideas are testament to this. Likewise, skill without ideas happens also. Hundreds or more of screenplays sell every year that will never be made into movies; the writing is technically good so the writers do make money, but the story ideas don't hit, and the buyers eventually realize this before wasting more money.