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If there is some determinate succession of defined whole real numbers, among which there exists no greatest, on the basis of this second principle of generation a new number is obtained which is regarded as the limit of those numbers, i. e. is defined as the next greater number than all of them.

Georg Cantor
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What I assert and believe to have demonstrated in this and earlier works is that following the finite there is a transfinite (which one could also call the supra-finite), that is an unbounded ascending ladder of definite modes, which by their nature are not finite but infinite, but which just like the finite can be determined by well-defined and distinguishable numbers.

Georg Cantor
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What I declare and believe to have demonstrated in this work as well as in earlier papers is that following the finite there is a transfinite (transfinitum)—which might also be called supra-finite (suprafinitum), that is, there is an unlimited ascending ladder of modes, which in its nature is not finite but infinite, but which can be determined as can the finite by determinate, well-defined and distinguishable numbers.

Georg Cantor

Quote of the day

Look in the mirror. The face that pins you with its double gaze reveals a chastening secret. You are looking into a predator's eyes. Most predators have eyes set right on the front of their heads, so they can use binocular vision to sight and track their prey.
Diane Ackerman

Georg Cantor

Georg Cantor
Creative Commons

Born: March 3, 1845
Died: January 6, 1918 (aged 72)
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