Georg Cantor Quotes



Best 11 Quotes by Georg Cantor

“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.”

“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.”

“I see it, but I don't believe it.”

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

“My beautiful proof lies all in ruins.”

“My theory stands as firm as a rock; every arrow directed against it will return quickly to its archer.

How do I know this? Because I have studied it from all sides for many years; because I have examined all objections which have ever been made against the infinite numbers; and above all because I have followed its roots, so to speak, to the first infallible cause of all created things.”

“Some infinites are bigger than other infinites.”

“The essence of mathematics is in its freedom.”

“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.”

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

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“One cannot conceive anything so strange and so implausible that it has not already been said by one philosopher or another.”


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