There is no doubt that we cannot do without variable quanti… - Georg Cantor

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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.

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

All quotes from Georg Cantor Similar Quotes by other Originators

Originators like Georg Cantor:

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

Additional quotes by Georg Cantor

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.

A set is a Many that allows itself to be thought of as a One.

The fear of infinity is a form of myopia that destroys the possibility of seeing the actual infinite, even though it in its highest form has created and sustains us, and in its secondary transfinite forms occurs all around us and even inhabits our minds.

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 … - Georg Cantor

About Georg Cantor

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Additional quotes by Georg Cantor