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 WilczekIf you don't make mistakes, you're not working on hard enough problems. And that's a big mistake.
Frank WilczekThe brain rewards us for interacting with beautiful things. In this way, evolution wants to encourage us to do what is good for us.
Frank Wilczek