The purpose of education is not to fill a vessel but to kindle a flame.

What the learned world tends to offer is one second-hand scrap of information illustrating ideas derived from another second-hand scrap of information. The second-handedness of the learned world is the secret of its mediocrity.

In this modern world, the celibacy of the medieval learned class has been replaced by a celibacy of the intellect which is divorced from the concrete contemplation of the complete facts.

Fertilization of the soul is the reason for the necessity of art.

Mathematics, in its widest significance, is the development of all types of formal, necessary, deductive reasoning.

Civilizations can only be understood by those who are civilized.

Every organism requires an environment of friends, partly to shield it from violent changes, and partly to supply it with its wants.