How Do I Know That I Know Nothing? The Axiom of Selection and the Arithmetic of Infinity

Open Journal of Mathematics and Physics 6:288 (2024)
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Abstract

We show that the statement "I only know that I know nothing," attributed to the Greek philosopher Socrates, contains, at its core, Zermelo's Axiom of Selection and the arithmetic of the infinite cardinal aleph-0.

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Matheus P. Lobo
Federal University of Northern Tocantins

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