In physics, your solution should convince a reasonable person. In math, you have to convince a person who's trying to make trouble. Ultimately, in physics, you're hoping to convince Nature. And I've found Nature to be pretty reasonable.
Frank WilczekAn ordinary mistake is one that leads to a dead end, while a profound mistake is one that leads to progress. Anyone can make an ordinary mistake, but it takes a genius to make a profound mistake.
Frank WilczekMany of my heroes, like Galileo, Maxwell, Newton and, less explicitly, Einstein thought what they were doing was finding out what God is. All of them had this inspiration that if you want to find out what God is, you have to look at his work.
Frank Wilczek