Georg Cantor

Mathematics German 1845 – 1918 390 quotes

Created set theory and theory of transfinite numbers

Quotes by Georg Cantor

The infinite is not a vague concept, but a precise mathematical entity.

General Statement

I have dared to venture into the realm of the infinite.

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The transfinite numbers are a testament to the power of human reason.

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My theory of sets is a fundamental contribution to the foundations of mathematics.

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The actual infinite is a concept that has been misunderstood for centuries.

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I have opened the door to a new understanding of the infinite.

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The transfinite numbers are a beautiful and elegant creation.

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My work has been a struggle against prejudice and misunderstanding.

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The infinite is not a barrier, but an opportunity.

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I have shown that there are different sizes of infinity.

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The transfinite numbers are a logical necessity.

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My theory of sets is a powerful tool for mathematical analysis.

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The actual infinite is a concept that will revolutionize mathematics.

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My theory is so true that I can prove it by means of the most rigorous logic.

Letter to Dedekind

I protest against the use of infinite as a finished quantity, which is not allowed in mathematics. Infinity is only a variable quantity, which can be increased indefinitely.

Letter to Dedekind

I am so convinced of the truth of my theory that I would like to see it universally accepted.

Letter to Mittag-Leffler

The fear of infinity is a form of myopia that destroys the possibility of seeing the truly great, even if it is right in front of one's eyes.

Letter to Dedekind

I am not a philosopher, but a mathematician, and I have no interest in philosophical discussions.

Letter to Dedekind

I am not afraid of the infinite, but I am afraid of those who are afraid of the infinite.

Attributed

My work is like a journey through a beautiful garden, where I discover new flowers at every turn.

Attributed