2 ms·
I wonder if a square of the same area is too constraining for the axiom of choice? Perhaps they should try making it into two identical circles or a square of
by kurthr 5y ago
I wonder if a square of the same area is too constraining for the axiom of choice?
Perhaps they should try making it into two identical circles or a square of twice the area instead?
https://en.wikipedia.org/wiki/Banach%E2%80%93Tarski_paradox https://en.wikipedia.org/wiki/Banach%E2%80%93Tarski_paradox
- arutar 5y agoWould you be able to elaborate a bit what you mean here? There is no version of Banach-Tarski in two dimensions - you can prove that there exists a finitely additive set function which is invariant under isometries.