If others would but reflect on mathematical truths as deeply and as continuously as I have, they would make my discoveries

The enchanting charms of this sublime science reveal only to those who have the courage to go deeply into it.

I have had my results for a long time: but I do not yet know how I am to arrive at them.

I am coming more and more to the conviction that the necessity of our geometry cannot be demonstrated, at least neither by, nor for, the human intellect.

Life stands before me like an eternal spring with new and brilliant clothes.

Mathematics is the queen of the sciences.