The creative life was the only one for a serious man.
Bombs are probably more merciful than bayonets
The mathematician's patterns, like the painter's or the poet's, must be beautiful.
The public does not need to be convinced that there is something in mathematics.
I believe that mathematical reality lies outside us, that our function is to discover or observe it, and that the theorems which we prove, and which we describe grandiloquently as our "creations," are simply the notes of our observations.
Greek mathematics is the real thing. The Greeks first spoke a language which modern mathematicians can understand... So Greek mathematics is 'permanent', more permanent even than Greek literature.