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.More Godfrey Harold Hardy quotes [03/29/2018 05:03:36]

Mathematics may, like poetry or music, "promote and sustain a lofty habit of mind."More Godfrey Harold Hardy quotes [03/29/2018 05:03:36]

Real mathematics must be justified as art if it can be justified at all.More Godfrey Harold Hardy quotes [03/29/2018 05:03:36]

A mathematician, like a painter or a poet, is a maker of patterns. If his patterns are moMore Godfrey Harold Hardy quotes [08/11/2011 07:08:08]

A mathematician ... has no material to work with but ideas, and so his patterns are likely to last longer, since ideas wear less with time than words.More Godfrey Harold Hardy quotes [03/29/2018 05:03:36]