Georg Cantor

Mathematics German 1845 – 1918 390 quotes

Created set theory and theory of transfinite numbers

Quotes by Georg Cantor

The transfinite numbers are the true infinite, while the potential infinite is only a shadow of it.

Grundlagen einer allgemeinen Mannigfaltigkeitslehre (Foundations of a General Theory of Manifolds) 1883

I am convinced that the transfinite numbers will one day be recognized as the true numbers, and that the finite numbers will be seen as only a special case.

Grundlagen einer allgemeinen Mannigfaltigkeitslehre (Foundations of a General Theory of Manifolds) 1883

The transfinite numbers are not only a logical necessity, but also a gift from God.

Grundlagen einer allgemeinen Mannigfaltigkeitslehre (Foundations of a General Theory of Manifolds) 1883

The actual infinite is not a contradiction in terms, but a concept that can be precisely defined and rigorously developed.

Grundlagen einer allgemeinen Mannigfaltigkeitslehre (Foundations of a General Theory of Manifolds) 1883

The transfinite numbers are the key to understanding the nature of the continuum.

Grundlagen einer allgemeinen Mannigfaltigkeitslehre (Foundations of a General Theory of Manifolds) 1883

The theory of sets is a new branch of mathematics, which has opened up new horizons for research.

Beiträge zur Begründung der transfiniten Mengenlehre (Contributions to the Founding of the Theory of Transfinite Numbers) 1895

The transfinite numbers are not only useful for mathematics, but also for philosophy and theology.

Grundlagen einer allgemeinen Mannigfaltigkeitslehre (Foundations of a General Theory of Manifolds) 1883

The transfinite numbers are a testament to the power of the human mind to grasp concepts that transcend our finite experience.

Grundlagen einer allgemeinen Mannigfaltigkeitslehre (Foundations of a General Theory of Manifolds) 1883

The theory of transfinite numbers is a work of art, which combines rigor and beauty.

Beiträge zur Begründung der transfiniten Mengenlehre (Contributions to the Founding of the Theory of Transfinite Numbers) 1895

The transfinite numbers are a challenge to our intuition, but they are also a source of profound insight.

Grundlagen einer allgemeinen Mannigfaltigkeitslehre (Foundations of a General Theory of Manifolds) 1883

The theory of sets is a revolutionary development in mathematics, which has changed our understanding of numbers and infinity.

Beiträge zur Begründung der transfiniten Mengenlehre (Contributions to the Founding of the Theory of Transfinite Numbers) 1895

The transfinite numbers are a bridge between the finite and the infinite, between the concrete and the abstract.

Grundlagen einer allgemeinen Mannigfaltigkeitslehre (Foundations of a General Theory of Manifolds) 1883

The theory of sets is a universal language for mathematics, which allows us to express complex ideas in a clear and concise way.

Beiträge zur Begründung der transfiniten Mengenlehre (Contributions to the Founding of the Theory of Transfinite Numbers) 1895

The transfinite numbers are a testament to the boundless creativity of the human mind.

Grundlagen einer allgemeinen Mannigfaltigkeitslehre (Foundations of a General Theory of Manifolds) 1883

The theory of sets is a powerful tool for solving problems in mathematics and other sciences.

Beiträge zur Begründung der transfiniten Mengenlehre (Contributions to the Founding of the Theory of Transfinite Numbers) 1895

The transfinite numbers are a source of wonder and inspiration for all who contemplate them.

Grundlagen einer allgemeinen Mannigfaltigkeitslehre (Foundations of a General Theory of Manifolds) 1883

The theory of sets is a fundamental part of modern mathematics, which every mathematician should know.

Beiträge zur Begründung der transfiniten Mengenlehre (Contributions to the Founding of the Theory of Transfinite Numbers) 1895

The transfinite numbers are a testament to the infinite richness of the mathematical universe.

Grundlagen einer allgemeinen Mannigfaltigkeitslehre (Foundations of a General Theory of Manifolds) 1883

The theory of sets is a beautiful and elegant theory, which has revolutionized our understanding of mathematics.

Beiträge zur Begründung der transfiniten Mengenlehre (Contributions to the Founding of the Theory of Transfinite Numbers) 1895

The transfinite numbers are a profound discovery, which has opened up new avenues of research in mathematics.

Grundlagen einer allgemeinen Mannigfaltigkeitslehre (Foundations of a General Theory of Manifolds) 1883