There is no doubt that we cannot do without variable quantities in the sense of the potential infinite. But from this very fact the necessity of the …

- Georg Cantor

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

- Georg Cantor

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 …

- Georg Cantor

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

- Georg Cantor

A set is a Many that allows itself to be thought of as a One.

- Georg Cantor

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

- Georg Cantor

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

- Georg Cantor

Don't always blindly follow guidance and step-by-step instructions; you might run into something interesting.

- Georg Cantor

The essence of mathematics lies precisely in its freedom.

- Georg Cantor