In formal logic, a contradiction is the signal of defeat, but in the evolution of real knowledge it marks the first step in progress toward a victory.

In this modern world, the celibacy of the medieval learned class has been replaced by a celibacy of the intellect which is divorced from the concrete contemplation of the complete facts.

The study of mathematics is apt to commence in disappointment.

Life is the enjoyment of emotion, derived from the past and aimed at the future.

Ninety percent of our lives is governed by emotion.

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

Heaven knows what seeming nonsense may not tomorrow be demonstrated truth.