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

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...

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...

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...

The essence of mathematics lies in its freedom.

The essence of mathematics lies in its freedom.

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...

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.

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...

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...

If a thing loves, it is infinite.

If a thing loves, it is infinite.

Mathematics are well and good but nature keeps dragging us around by the nose.

Mathematics are well and good but nature keeps dragging us around by the nose.

The secret to creativity is knowing how to hide your sources.

The secret to creativity is knowing how to hide your sources.

As far as the laws of mathematics refer to reality, they are not certain; and...

As far as the laws of mathematics refer to reality, they are not certain; and...

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

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

The dialectic is neither fiction nor mysticism, but a science of the forms of our...

The dialectic is neither fiction nor mysticism, but a science of the forms of our...

Mathematics takes us into the region of absolute necessity, to which not only the actual...

Mathematics takes us into the region of absolute necessity, to which not only the actual...

We do not learn by inference and deduction and the application of mathematics to philosophy,...

We do not learn by inference and deduction and the application of mathematics to philosophy,...

The piano's world encompasses glass-nerved virtuosi and stomping barrel-housers in fedoras; it is a world...

The piano's world encompasses glass-nerved virtuosi and stomping barrel-housers in fedoras; it is a world...

I like mathematics because it is not human and has nothing particular to do with...

I like mathematics because it is not human and has nothing particular to do with...

To most outsiders, modern mathematics is unknown territory. Its borders are protected by dense thickets...

To most outsiders, modern mathematics is unknown territory. Its borders are protected by dense thickets...

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...