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

Training is such a vital part of preparation for a game, you really do train to play. It tops up your ability, like sharpening a carving knife. You can get away with not doing it for a while, as long as you have reached a certain standard of fitness. – Graeme Le Saux