People are just as wonderful as sunsets if you let them be. When I look at a sunset, I don't find myself saying, "Soften the orange a bit on the right hand corner." I don't try to control a sunset. I watch with awe as it unfolds.
A teacher must have a healthy body, the skills of a farmer, the mind of a scientist, the interest in art, and the spirit of social reform.
I would not dare to say that there is a direct relation between mathematics and madness, but there is no doubt that great mathematicians suffer from maniacal characteristics.