User blog comment:Googleaarex/Unlimitable Ordinals/@comment-25418284-20130823215256/@comment-25418284-20130824000927

Your meaning is still not clear to me. You can't take "the limit of an ordinal," or at least not in the way you're intending.

Do you mean the first fixed point of a function enumerating the fixed points of a function enumerating the fixed points of ... a function enumerating the fixed points of \(\alpha \mapsto \omega^\alpha\)?