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.

The foundation of reverence is this perception, that the present holds within itself the complete sum of existence, backwards and forwards, that whole amplitude of time, which is eternity.

...the only simplicity to be trusted is the simplicity to be found on the far side of complexity.

A science which hesitates to forget its founders is lost.

Without deductive logic science would be entirely useless. It is merely a barren game to ascend from the particular to the general, unless afterwards we can reverse the process and descend from the general to the particular, ascending and descending like angels on Jacob's ladder.

Education is the acquisition of the art of the utilisation of knowledge.

Art is the imposing of a pattern on experience, and our aesthetic enjoyment is recognition of the pattern.