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

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

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

To such idle talk it might further be added: that whenever a certain exclusive occupation is coupled with specific shortcomings, it is likewise almost certainly divorced from certain other shortcomings.

It is always noteworthy that all those who seriously study this science [the theory of numbers] conceive a sort of passion for it.

Further, the dignity of the science itself seems to require that every possible means be explored for the solution of a problem so elegant and so celebrated.

When a philosopher says something that is true then it is trivial. When he says something that is not trivial then it is false.