3 ms·

Is Banach-Tarski* a valid answer? (Kleene star.)

• ColinWright 14y ago
  No, but (Banach-Tarski)(Banach-Tarski)* would be, or possibly (Banach-Tarski)+ depending on your system. You can't get to zero copies.
  • georgeorwell 14y ago
    Wikipedia says you can collapse two balls into one, so doesn't that mean you can cut your ball in half, mold the halves into balls, and then merge those two half-volume balls into one half-volume ball? And if you can do that, can't you get to an infinitely small ball?
    • ColinWright 14y ago
      Arbitrarily small, yes, but never zero. You will always have c points, where c is the cardinality of the continuum.
      • bobinator30 14y ago
        Xeno would agree!