It is not knowledge, but the act of learning, not possession but the act of getting there, which grants the greatest enjoyment.

I mean the word proof not in the sense of the lawyers, who set two half proofs equal to a whole one, but in the sense of a mathematician, where half proof = 0, and it is demanded for proof that every doubt becomes impossible.

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

It may be true, that men, who are mere mathematicians, have certain specific shortcomings, but that is not the fault of mathematics, for it is equally true of every other exclusive occupation.

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