I am not sure I believe in The Axiom of Choice. It just seems like something decided upon because it makes the universe easier, not because itโs true.
There doesnโt have to be a โtrueโ here anyway. Mathematics is just a model, and if the model works well enough, who cares? But the AoC just seems fishy to me, even though I understand why itโs needed. Itโs a dirty hack that works when required. Thatโs it.