If you can’t talk about the set of all subsets of the set of all subsets of the real numbers
Surely the power set axiom gets you that?
That it exists, yes. But what good is that without choice?
Ok, ZFC is a more convenient background theory than ZF (although I’m not sure where it becomes awkward to do without choice). That’s still short of needing large cardinal axioms.
Surely the power set axiom gets you that?
That it exists, yes. But what good is that without choice?
Ok, ZFC is a more convenient background theory than ZF (although I’m not sure where it becomes awkward to do without choice). That’s still short of needing large cardinal axioms.