Besides it is an error to believe that rigour is the enemy of simplicity. On the contrary we find it confirmed by numerous examples that the rigorous method is at the same time the simpler and the more easily comprehended. The very effort for rigor forces us to find out simpler methods of proof.
David HilbertOne must be able to say at all times--instead of points, straight lines, and planes--tables, chairs, and beer mugs
David HilbertThe art of doing mathematics consists in finding that special case which contains all the germs of generality.
David HilbertMathematics knows no races or geographic boundaries; for mathematics, the cultural world is one country.
David HilbertWe 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.
David Hilbert