User blog comment:Bubby3/Ridiculously strong ordinal hyper-operations/@comment-30754445-20170612070222

Two questions:

1. If you "don't know how it works between..." then how can you estimate the notation's strength?

2. How is this notation related to hyper-operators? More specifically: What's the hyper-operator equivalent of ">>"?

And even more specifically, I'd like to see how we're supposed to get from:

ω↑↑(ω2) = φ(2,0)

to:

ω↑↑(ω2+1) = φ(ω,0)

It's a pretty big jump, and I won't just take your word that it can work that way.