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

Mathematics knows no races or geographic boundaries; for mathematics, the cultural world is one country.

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

Wir mussen wissen. Wir werden wissen. We must know. We will know. Inscribed on his tomb in Gilttingen.

Sometimes it happens that a man's circle of horizon becomes smaller and smaller, and as the radius approaches zero it concentrates on one point. And then that becomes his point of view.

For us there is no ignorabimus, and in my opinion none whatever in natural science. In opposition to the foolish ignorabimus our slogan shall be: "We must know - we will know!"

Mathematical science is in my opinion an indivisible whole, an organism whose vitality is conditioned upon the connection of its parts.