Great art is more than a transient refreshment. It is something which adds to the permanent richness of the soul's self-attainment. It justifies itself both by its immediate enjoyment, and also by its discipline of the inmost being. Its discipline is not distinct from enjoyment but by reason of it. It transforms the soul into the permanent realization of values extending beyond its former self.

Thus the negative perception is the triumph of consciousness.

Faith in the possibility of science, generated antecedently to the development of modern scientific theory, is an unconscious derivative from medieval theology.

The pursuit of mathematics is a divine madness of the human spirit.

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

[In many circumstances,] the most important thing about a proposition is not that it be true, but that it be interesting.

Human life is driven forward by its dim apprehension of notions too general for its existing language.