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.

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.

Reputation became the pirates' sharpest sword.

This world, he thinks, contains just one masterpiece, and that is itself.

The fashionable Canadian drug habit, instead of cocaine, is to sniff real snow.

Rock roll is not obscure, it's really easy to understand. So is my painting.

Let us learn to be patient in the days of darkness, if we know anything of vital union with Christ.

When you notice light seeping into your coffin, it's hard to go on pretending that you're still dead.

It is never quite safe to think we have done with life. When we imagine we have finished our story fate has a trick of turning the page and showing us yet another chapter.

Look forward to future years, if not with eager anticipation, yet with a calm reliance upon the power of good, wholly remote from despair.

In creating the world, God used arithmetic, geometry, and likewise astronomy.

God's salvation does not come in response to a changed life. A changed life comes in response to the salvation, offered as a free gift.