You are here: irt.org | FOLDOC | 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.
(1995-03-29)
Nearby terms: Banach algebra « Banach inverse mapping theorem « Banach space « Banach-Tarski paradox » banana label » banana phenomenon » banana problem
FOLDOC, Topics, A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z, ?, ALL