Banach Tarski Paradoxical Decomposition/Talk

How about a full name for Hausdorff? so it can be linked?

Is this "doubling the interval" thingie related to the fact that on the [Real line]? there are the same number of points in any interval of any length? Or am I simply showing my ignorance? Seems we need an article on infinity?. --Buz Cory

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I've put in Felix Hausdorff's first name, but there's no article for him yet.

Doubling the unit interval would be impossible if the doubled interval didn't have the same number of points as the original. But there's more to it than that, because only countably many pieces are used, whereas breaking it up into individual points would involve uncountably many pieces.

Zundark, 2001-08-09