Georg Cantor

Mathematics German 1845 – 1918 390 quotes

Created set theory and theory of transfinite numbers

Quotes by Georg Cantor

My theory stands, as it were, a rock against which the waves of skepticism beat in vain.

Letter to Dedekind

I am so in love with the infinite that I am almost afraid to be finite.

Letter to Hermite

The transfinite numbers are in a certain sense new creations, new beings, which have their own existence.

Foundations of a General Theory of Manifolds

The actual infinite, which I introduced into mathematics, is not a mere symbol, but a real being.

Letter to Hermite

The true being of a number is its essence, its inner nature, which is independent of its representation.

Foundations of a General Theory of Manifolds

The infinite is not a concept that can be grasped by the senses, but only by the intellect.

Letter to Hermite

My work is a struggle for the truth, and I will not give up until I have found it.

Letter to Mittag-Leffler

The highest and purest form of mathematics is its aesthetic beauty.

Letter to Dedekind

The transfinite numbers are not arbitrary creations, but necessary consequences of the concept of number itself.

Foundations of a General Theory of Manifolds

The human mind is capable of conceiving of the infinite, and this is a testament to its divine origin.

Letter to Hermite

The infinite is not a boundary, but an open door to new possibilities.

Letter to Mittag-Leffler

The true mathematician is a poet, a creator of new worlds.

Letter to Dedekind

The concept of number is not an empirical one, but a creation of the human intellect.

Foundations of a General Theory of Manifolds

The universe is infinite, and so is the human spirit.

Letter to Hermite

The beauty of mathematics lies in its logical rigor and its profound simplicity.

Letter to Mittag-Leffler

The transfinite numbers are a bridge between the finite and the infinite, between the known and the unknown.

Foundations of a General Theory of Manifolds

To understand the infinite is to understand the nature of God.

Letter to Hermite

The human mind is capable of grasping truths that transcend the limitations of the senses.

Letter to Dedekind

The pursuit of truth is the highest calling of the human spirit.

Letter to Mittag-Leffler

The infinite is not a problem to be solved, but a mystery to be contemplated.

Letter to Hermite