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…

Quote by Georg Cantor

Topics: Infinity Quotes, Mathematics Quotes

What I assert and believe to have demonstrated in this and earlier works is that...

What I assert and believe to have demonstrated in this and earlier works is that...

The actual infinite arises in three contexts: first when it is realized in the most...

The actual infinite arises in three contexts: first when it is realized in the most...

The transfinite numbers are in a certain sense themselves new irrationalities and in fact in...

The transfinite numbers are in a certain sense themselves new irrationalities and in fact in...

I realise that in this undertaking I place myself in a certain opposition to views...

I realise that in this undertaking I place myself in a certain opposition to views...

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

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

The essence of mathematics lies in its freedom.

The essence of mathematics lies in its freedom.

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

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

If a thing loves, it is infinite.

If a thing loves, it is infinite.

A billion stars go spinning through the night, blazing high above your head. But in...

A billion stars go spinning through the night, blazing high above your head. But in...

I heard you're good in algebra, can you replace my 'X' without asking 'Y?'

I heard you're good in algebra, can you replace my 'X' without asking 'Y?'

What is algebra exactly; is it those three-cornered things?

What is algebra exactly; is it those three-cornered things?

Mathematics, rightly viewed, possesses not only truth, but supreme beauty - a beauty cold and...

Mathematics, rightly viewed, possesses not only truth, but supreme beauty - a beauty cold and...

It is the perennial youthfulness of mathematics itself which marks it off with a disconcerting...

It is the perennial youthfulness of mathematics itself which marks it off with a disconcerting...

Math teacher: I have 5 bottles in one hand, and 6 in the other. What...

Math teacher: I have 5 bottles in one hand, and 6 in the other. What...

Think of a number. Double it. Add six. Half it. Take away the number you...

Think of a number. Double it. Add six. Half it. Take away the number you...

Our account does not rob mathematicians of their science, by disproving the actual existence of...

Our account does not rob mathematicians of their science, by disproving the actual existence of...

I don't believe in mathematics.

I don't believe in mathematics.

But there is another reason for the high repute of mathematics: it is mathematics that...

But there is another reason for the high repute of mathematics: it is mathematics that...

Do not worry about your problems with mathematics, I assure you mine are far greater.

Do not worry about your problems with mathematics, I assure you mine are far greater.

Mathematicians, who are only mathematicians, have exact minds, provided all things are explained to them...

Mathematicians, who are only mathematicians, have exact minds, provided all things are explained to them...