Axiom of Choice, 13 Essence of Set Theory
Channel: Mirek Olšák
Date: 2021-08-14

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The Axiom of Choice and two of its slightly paradoxical applications -- infinite prisoners with hats, and a non-measurable set.

More about the hat problem (by @Mathologer): https://www.youtube.com/watch?v=aDOP0XynAzA
Banach Tarski Paradox (by @Vsauce): https://www.youtube.com/watch?v=s86-Z-CbaHA

Download: http://www.olsak.net/mirek/manim/eost/eost13.mp4