I think that Why do people accept the axiom of choice given the well ordering principle?Why do people accept the axiom of choice given the well ordering principle? should be reopened.
It's a valid question, and I recall at least two undergraduate classmates that felt the same way back in our sophomore and senior years. It's a clear enough question to anyone who has heard it before, which is how Noah and myself knew to answer it (I can't speak for Noah's understanding, but I immediately knew what's the question).