Infinity, in its first form (the improper-infinite) present… - Georg Cantor

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Infinity, in its first form (the improper-infinite) presents itself as a variable finite [veranderliches Endliches]; in the other form (which I call the proper infinite [Eigentlich-unendliche]) it appears as a thoroughly determinate [bestimmtes] infinite.

Georg Cantor

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About Georg Cantor

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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Native Name: George Cantor

Alternative Names: Georg Ferdinand Ludwig Philipp Cantor • Cantor

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Richard Dedekind Giordano Bruno Henri Poincaré George Ballard Mathews Gottfried Wilhelm Leibniz

Additional quotes by Georg Cantor

There is no doubt that we cannot do without variable quantities in the sense of the potential infinite. But from this very fact the necessity of the actual infinite can be demonstrated.

However, he was born in Copenhagen, of Jewish parents, of the Portuguese Jewish community there.

Er ist aber in Kopenhagen geboren, von israelitischen Eltern, die der dortigen portugisischen Judengemeinde.

Infinity, in its first form (the improper-infinite) presents itself as a variable finite [veranderliches Endliches]; in the other form (which I call … - Georg Cantor

About Georg Cantor

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