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

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

My beautiful proof lies all in ruins.

The essence of mathematics lies in its freedom.

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.

The question of the value of nationality in art is perhaps unsolvable.