The Axiom of Choice

The axiom of choice lets you look at these large cardinal axioms and say, oh, i have liked three or four different ways to phrase this axiom. And theyr all equivalent. But these equivalent is very much dependent on the axom of choice. So there's a problem that's opened since 19 two, when i was a master student. I read about this and i said to myself, what do you need to prove? No, to solve this problem one way or another. That's essentially the thing that guides me to come up with new ideas.