Georg Cantor

The actual infinite exists and is necessary for the very existence of mathematics.

My work is a logical consequence of the development of mathematics.

The true infinite is not a limit, but a completed entity.

I am convinced that my theory will be recognized as correct in due time.

The concept of number is entirely independent of the concept of magnitude.

Mathematics is the most beautiful and most powerful creation of the human spirit.

The continuum hypothesis is a question that has occupied me for many years.

The transfinite numbers are a natural extension of the finite numbers.

My theory of sets is a necessary foundation for all of mathematics.

The infinite is not a mere potentiality, but an actuality.

The concept of infinity is not a human invention, but a discovery.

My work has opened up new avenues for mathematical research.

The transfinite numbers are not arbitrary creations, but necessary consequences of logical thought.

I have found a way to count the uncountable.

The infinite is a reality, not an illusion.

My theory of sets is a natural and necessary extension of the theory of numbers.

The actual infinite is not a contradiction, but a profound truth.

I have given mathematics a new dimension.

The transfinite numbers are a bridge between the finite and the absolute infinite.

My work has been a source of great joy and great suffering.