Young Men Should Prove Theorems,

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.

The Creative Life Was The Only One For A Serious Man.

Pure Mathematics Is On The Whole Distinctly More Useful Than Applied... For What Is Useful Above All Is Technique, And Mathematical Technique Is Taught Mainly Through Pure Mathematics.

Good Work Is Not Done By 'humble' Men

No Mathematician Should Ever Allow Himself To Forget That Mathematics, More Than Any Other Art Or Science, Is A Young Man's Game