You cannot evade quantity. You may fly to poetry and music, and quantity and number will face you in your rhythms and your octaves.

Life is an offensive, directed against the repetitious mechanism of the Universe.

The aims of scientific thought are to see the general in the particular and the eternal in the transitory.

There is no more common error than to assume that, because prolonged and accurate mathematical calculations have been made, the application of the result to some fact of nature is absolutely certain.

The task of a university is the creation of the future, so far as rational thought and civilized modes of appreciation can affect the issue.

The science of pure mathematics, in its modern developments, may claim to be the most original creation of the human spirit.

The misconception which has haunted philosophic literature throughout the centuries is the notion of 'independent existence.' There is no such mode of existence; every entity is to be understood in terms of the way it is interwoven with the rest of the universe.