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What's a non-measurable set?
==Interpretation==
==Interpretation==
Some view the Banach-Tarski paradox as an absurd result, and evidence that the [[Axiom of Choice]] is false. This is the reaction of many non-mathematicians upon hearing this result. However, as one grows in mathematical understanding one finds it is impossible to avoid - mathematicians have learned to accept the existence of non-measurable sets, comfortable in the knowledge that they can never exist in the real world.
Some view the Banach-Tarski paradox as an absurd result, and evidence that the [[Axiom of Choice]] is false. This is the reaction of many non-mathematicians upon hearing this result. However, as one grows in mathematical understanding one finds it is impossible to avoid - mathematicians have learned to accept the existence of [[non-measurable set]]s, comfortable in the knowledge that they can never exist in the real world.
==External Links==
==External Links==