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

The transfinite numbers are in a sense the new irrationalities [ ... they] stand or fall with the finite irrational numbers.

Great innovation only happens when people aren't afraid to do things differently.

To ask the right question is harder than to answer it.

The fear of infinity is a form of myopia that destroys the possibility of seeing the actual infinite, even though it in its highest form has created and sustains us, and in its secondary transfinite forms occurs all around us and even inhabits our minds.

I realize 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.

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