The preternatural solemnity of a good many of the professionally religious is to me a point against them.

The many become one and are increased by one.

Nature is probably quite indifferent to the aesthetic preferences of mathematicians.

The whole of mathematics consists in the organization of a series of aids to the imagination in the process of reasoning.

We think in generalities, but we live in detail.

By relieving the brain of all unnecessary work, a good notation sets it free to concentrate on more advanced problems, and in effect increases the mental power of the race.

I regret that it has been necessary for me in this lecture to administer a large dose of four-dimensional geometry. I do not apologize, because I am really not responsible for the fact that nature in its most fundamental aspect is four-dimensional. Things are what they are.