Writing is so wrapped up in ego, but with math one is just trying to get it right, although you're often wrong. I think math helped me become a good critic of myself, come at writing a little less personally.
I'm a geophysicist and all my earth science books when I was a student, I had to give the wrong answer to get an A. We used to ridicule continental drift. It was something we laughed at. We learned of Marshall Kay's geosynclinal cycle, which is a bunch of crap.
Army: A body of men assembled to rectify the mistakes of the diplomats.