Can you explain to a brainlet why the Banach–Tarski paradox

>>8619158
It's only "controversial" among the pop-math crowd who don't actually understand it.

>>8619158
>A pea can be chopped up to make the sun
What the fuck this theory is retarded what next my dick can be chopped up to contain the entirety of the observable universe?

>>8619166
The only think that I got from that is that dividing inifitny by 2 is still infinity which isn't such a wild claim.

banach-tarski paradox isn't controversial, just a weird example of the shit you can do with ZFC

if anything is controversial it's ZFC

>>8619184
>dividing inifitny by 2
That's what you don't get, you divide a finite volume in a finite number of pieces.
Dividing an apple in 2 shouldn't give you 2 apples.

>>8619248
so? is it really the axiom of choice the problem in this?

>>8619253
yes

>>8619258
Can you explain what actually happens with the axiom of choice with this using the boxes of socks analogy?

they cheat by duplicating vertices, obviously it doesn't make sense.
also they use real numbers which haven't even been defined.
its sham math

>>8619348
>also they use real numbers which haven't even been defined
pls be b8

>>8619348

wilderburger shoo shoo

>>8619179
If your dick is topologically a sphere, then yes