Georg Cantor

In my set theory, all of mathematics finds its ultimate foundation.

The continuum hypothesis will one day be resolved.

I am not a philosopher, but a mathematician. Yet the implications of my work reach into philosophy and theology.

The potential infinite is but a makeshift, a temporary concept that points beyond itself.

Without the concept of the actual infinite, mathematics as we know it would be impossible.

Every consistent set is countable or has the power of the continuum or a higher power.

The set of all points on a line has a greater power than the set of all natural numbers.

My discoveries were not the product of cold logic, but of a kind of artistic inspiration.

The struggle for truth is the highest duty of the scientist.

The infinite is not a mere idea; it has a necessary existence, both in thought and, in its highest form, in reality.