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" "This view [of the infinite], which I consider to be the sole correct one, is held by only a few. While possibly I am the very first in history to take this position so explicitly, with all of its logical consequences, I know for sure that I shall not be the last!
Georg Ferdinand Ludwig Philipp Cantor (3 March 1845 – 6 January 1918) was a Russian-born German mathematician and philosopher of Danish and Austrian descent, most famous as the creator of set theory, and of Cantor's theorem which implies the existence of an "infinity of infinities."
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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.