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.

A false conclusion once arrived at and widely accepted is not easily dislodged and the less it is understood the more tenaciously it is held.

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

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

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

The essence of mathematics lies precisely in its freedom.

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

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

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

My beautiful proof lies all in ruins.

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 actual infinite can be demonstrated.

The reader who fails to ponder, or at least mark, the words he does not understand is headed for disaster.

If we're going to have standards in schools, let's be honest and have standards.

I'd put the most money on Robert Caro's biography of Lyndon Johnson - and not just because we'll probably still be waiting for the final volume in 2017.

I'd want to have a fair moderator. I thought that Mitt Romney was treated very unfairly in the third debate [in 2012].

Love is being accepting of all of their flaws.

We are almost always guilty of the hate we encounter.

All men are caught in an inescapable network of mutuality.

I don't go to concerts much. I've heard everything. When I do go to movies, I walk out half the time. As for literature, I've read everything.

We hope vaguely but dread precisely.

Donald Trump's meeting with the president of Mexico comes after months of bashing that country and its political leadership. Trump has called the Mexican government corrupt and dishonest.