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

However unapproachable these problems may seem to us and however helpless we stand before them, we have, nevertheless, the firm conviction that their solution must follow by a finite number of purely logical processes.

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.

Geometry is the most complete science.

Some people have got a mental horizon of radius zero and call it their point of view.

I have tried to avoid long numerical computations, thereby following Riemann's postulate that proofs should be given through ideas and not voluminous computations.

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