Full Idea
The main objection to the axiom of choice was that it had to be given by some law or definition, but since sets are arbitrary this seems irrelevant. Formalists consider it meaningless, but set-theorists consider it as true, and practically obvious.
Gist of Idea
The axiom of choice now seems acceptable and obvious (if it is meaningful)
Source
Leslie H. Tharp (Which Logic is the Right Logic? [1975], §3)
Book Reference
'Philosophy of Logic: an anthology', ed/tr. Jacquette,Dale [Blackwell 2002], p.40