Banach-Tarski paradox

<mathematics> It is possible to cut a solid ball into finitely many pieces (actually about half a dozen), and then put the pieces together again to get two solid balls, each the same size as the original.

This paradox is a consequence of the Axiom of Choice.

Last updated: 1995-03-29

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Banach algebra « Banach inverse mapping theorem « Banach space « Banach-Tarski paradox » banana label » banana phenomenon » banana problem