Guided only by their feeling for symmetry, simplicity, and generality, and an indefinable sense of the fitness of things, creative mathematicians now, as in the past, are inspired by the art of mathematics rather than by any prospect of ultimate usefulness. – E. T. Bell
The most melancholy thing about human nature, is, that a man may guide others into the path of salvation, without walking in it himself; that he may be a pilot, and yet a castaway. – Augustus William Hare and Julius Charles Hare, Guesses at Truth, by Two Brothers