Great offense starts with solid defense.

Steve Kerr, as commentator inside the video game NBA Live 07.

 

Archimedes will be remembered when Aeschylus is forgotten, because languages die and mathematical ideas do not. `Immortality’ may be a silly word, but probably a mathematician has the best chance of whatever it may mean.

 

[Euclid’s proof that there are infinitely many prime numbers] is [demonstrated] by reductio ad absurdum, and 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 gambit: a chess player may offer the sacrifice of a pawn or even a piece, but a mathematician offers the game.

 

God made the integers, all the rest is work of man.

 

Mathematics, rightly viewed, possesses not only truth, but supreme beauty — a beauty cold and austere, like that of sculpture, without appeal to any part of our weaker nature, without the gorgeous trappings of painting or music, yet sublimely pure, and capable of a stern perfection such as only the greatest art can show. The true spirit of delight, the exaltation, the sense of being more than Man, which is the touchstone of the highest excellence, is to be found in mathematics as surely as poetry.