An oversimplified explanation of the mind-numbingly paradoxical Banach-Tarski theorem states that a solid sphere can be cut into non-overlapping pieces (geometricians would say that such a ball has ...
Banach-Tarski and the Paradox of Infinite Cloning Max G. Levy Quanta Magazine August 27, 2021 (AP Photo/Kirsty Wigglesworth) ...
The Axiom of Choice states that given any collection of sets, it is possible to choose one element from each set. This seems self-evident, but accepting this definition leads to numerous bizarre ...
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