The essence of mathematics lies in its freedom.

My beautiful proof lies all in ruins.

In mathematics the art of asking questions is more valuable than solving problems.

In mathematics the art of proposing a question must be held of higher value than solving it.

started to tell his friends that he had not been the inventor of the ideas about infinity that he had published. He was merely a mouthpiece, inspired by God to communicate parts of the mind of God to everyone else.

I realise that in this undertaking I place myself in a certain opposition to views widely held concerning the mathematical infinite and to opinions frequently defended on the nature of numbers.