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

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

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

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.

The tool which serves as intermediary between theory and practice, between thought and observation, is mathematics; it is mathematics which builds the linking bridges and gives the ever more reliable forms.

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

One can measure the importance of a scientific work by the number of earlier publications rendered superfluous by it