Physics is much too hard for physicists.

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

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.

However unapproachable these problems may seem to us and however helpless we stand before them, we have, nevertheless, the firm conviction that their solution must follow by a finite number of purely logical processes.

Sometimes it happens that a man's circle of horizon becomes smaller and smaller, and as the radius approaches zero it concentrates on one point. And then that becomes his point of view.

Is mathematics doomed to suffer the same fate as other sciences that have split into separate branches?... Mathematics is, in my opinion, an indivisible whole... May the new century bring with it ingenious champions and many zealous and enthusiastic disciples.