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

Some people have got a mental horizon of radius zero and call it their point of view.

[On Cantor's work:] The finest product of mathematical genius and one of the supreme achievements of purely intellectual human activity.

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

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

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.

Physics is becoming too difficult for the physicists.