<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.
(1995-03-29)
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Nearby terms: Banach algebra « Banach inverse mapping theorem « Banach space « Banach-Tarski paradox » banana label » banana phenomenon » banana problem
Copyright 2010 Denis Howe