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

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

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!"

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

Physics is becoming too difficult for the physicists.

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.

No other question has ever moved so profoundly the spirit of man; no other idea has so fruitfully stimulated his intellect; yet no other concept stands in greater need of clarification than that of the infinite.