4 ms·

Also this only works when the highly contested Axiom of Choice is used.

• BalinKing 5y ago
  But isn't Banach-Tarski one of the main reasons why AoC is highly contested in the first place? (I don't know much about higher math, so this only my amateur impression.)
  • kcolford 5y ago
    It's also contested because while intuitive to a countable set of countable sets, generalizing to higher cardinals is not intuitive. Although the same could be said of the Power Law as well...
• intuitionist 5y ago
  The paradoxical decomposition of the free group doesn’t rely on choice though, and that’s arguably the “heart” of BT.