User blog comment:Googology Noob/Ordinal FGH, with an actual definition!/@comment-26428969-20151228152713

"Here we must identify the sequence and its limit, and apply it from there." no, just no, you can't take sequences of ordinals expressed in other notations and base your notation on it. Instead of recognizing a sequence expressed in Veblen's notation you have used any other sequence in any notation that starts the same way, and its not because you know the beginning of a sequence that you know how it ends, and here you are just making arbitrary choices that just looks "pretty", even though they are nlg any more "natural" than some other sequences with as supremum, the 7th admissible ordinal, or the Bachmann-Howard ordinal, or something line that. Arbitrary choices are no good for well-definedness