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.
G. H. HardyGreek mathematics is the real thing. The Greeks first spoke a language which modern mathematicians can understand... So Greek mathematics is 'permanent', more permanent even than Greek literature.
G. H. HardyNo discovery of mine has made, or is likely to make, directly or indirectly, for good or ill, the least difference to the amenity of the world.
G. H. Hardy