Reductio ad absurdum, which Euclid loved so much, is one of a mathematician's finest weapons. It is a far finer gambit than any chess play: a chess player may offer the sacrifice of a pawn or even a piece, but a mathematician offers the game.
Godfrey H. Hardy (1877 - 1947)
Source: A Mathematician's Apology, London, Cambridge University Press, 1941.
Contributed by: Zaady