Lexicon of Arguments

Philosophical and Scientific Issues in Dispute

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Bertrand Russell Die Mathematik und die Metaphysiker 1901 in: Kursbuch 8 Mathematik 1967

Most numbers are infinitely large, and to infinity one can add additional numbers as often as one wants, without changing the character of the number.
Russell: there is also a largest infinite number: this is the number of objects in total, regardless of species and genus.
Cantor proved that there is no largest infinite number, and if he were right, the contradictions would appear again in refined form in the concept of infinity.

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