We ought not to believe those who today, adopting a philosophical air and with a tone of superiority, prophesy the decline of culter and are content with the unknowable in a self-satisfied way. For us there is no unknowable, and in my opinion there is also non whatsoever for the natural sciences. In place of this foolish unknowable, let our watchword on the contrary be: we must know - we shall know.

Geometry is the most complete science.

I do not see that the sex of the candidate is an argument against her admission as a Privatdozent. After all, the Senate is not a bathhouse. Objecting to sex discrimination being the reason for rejection of Emmy Noether's application to join the faculty at the University of Gottingen.

I didn't work especially hard at mathematics at school, because I knew that's what I'd be doing later.

Mathematics is a game played according to certain simple rules with meaningless marks on paper.

The art of doing mathematics consists in finding that special case which contains all the germs of generality.

The infinite! No other question has ever moved so profoundly the spirit of man.