User blog comment:PsiCubed2/My attempt for creating an ψ(ψᵢ(0))-level notation for ordinals/@comment-24920136-20170329070238/@comment-30754445-20170329083000

I wouldn't say I've "mastered" it yet. Having a working definition is only the first step in actually understanding the ordinals. The next step is learning to "count" in the system. And after that, there's the quite nontrivial task of finding the fundamental sequences.

Also, I don't know what "OCF" means. :-)

At any rate, I think I'll stay at the ψ(ψᵢ(0))-level for a while and look around before trying to go any further. Never understood why most googologists insist on rushing forwards at all costs... After all, it's not like we could ever "win" in this game, right?

As for me planning a new notation - maybe. If I have a good idea for a clean and clear ψ(ψᵢ(0))-level notation, I'd make one. But I'm not sure it is even possible. I mean, how on earth are we suppsed to visualize an ordinal like ψ(ψᵢ(0))? (BTW there's already one such notation for the ψ(Ωω)-level. Check out "pair-sequence notation". It's really cool, though I have absolutely no idea why it works)