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Jun 25, 2014 at 20:58 comment added Martin Hairer @IgorRivin: Because there is no constructive way of building a non-measurable set.
Jun 1, 2011 at 0:01 comment added Thierry Zell I'm really bothered by the wording "applying the theorem to physical objects": a theorem is a mathematical statement, it can be applied to a mathematical object in the course of a proof, but talking about applying it to physical objects does not even begin to make sense.
May 31, 2011 at 20:42 comment added Andreas Blass The quotation from Hirsch also mixes two versions of the Banach-Taski theorem. The number 5 of pieces is, if I remember correctly, for making two balls the same size as the original. To get from a pea to the sun, more pieces would be needed (but still only finitely many).
May 31, 2011 at 19:51 comment added Igor Rivin Why is it clear that there are no physical objects corresponding to non-measurable sets? For the same reason that "Hilbert Space" is a purely abstract mathematical construct with no utility in physics? Oh, wait...
May 31, 2011 at 19:40 history edited Gyorgy Sereny CC BY-SA 3.0
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May 31, 2011 at 19:09 history answered Gyorgy Sereny CC BY-SA 3.0