In [great mathematics] there is a very high degree of unexpectedness, combined with inevitability and economy.
G. H. HardyA personโs first duty, a young personโs at any rate, is to be ambitious, and the noblest ambition is that of leaving behind something of permanent value.
G. H. HardyReductio 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. Hardy