The further a mathematical theory is developed, the more harmoniously and uniformly does its construction proceed, and unsuspected relations are disclosed between hitherto separated branches of the science.

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.

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

One must be able to say at all times--instead of points, straight lines, and planes--tables, chairs, and beer mugs

We do not master a scientific theory until we have shelled and completely prised free its mathematical kernel.

Geometry is the most complete science.

One hears a lot of talk about the hostility between scientists and engineers. I don't believe in any such thing. In fact I am quite certain it is untrue... There cannot possibly be anything in it because neither side has anything to do with the other.