Most People Can Do Nothing At All

I Count Maxwell And Einstein, Eddington And Dirac, Among "real" Mathematicians. The Great Modern Achievements Of Applied Mathematics Have Been In Relativity And Quantum Mechanics, And These Subjects Are At Present At Any Rate, Almost As "useless" As The Theory Of Numbers.

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.

A Chess Problem Is Simply An Exercise In Pure Mathematics.

If Intellectual Curiosity, Professional Pride, And Ambition Are The Dominant Incentives To Research, Then Assuredly No One Has A Fairer Chance Of Gratifying Them Than A Mathematician.

In [great Mathematics] There Is A Very High Degree Of Unexpectedness, Combined With Inevitability And Economy.