User blog comment:Scorcher007/The whole googology in one diagram/@comment-4224897-20180323140711/@comment-30754445-20180323144854

They actually are, in a way. Just not directly. You have to put them through a collapsing function first (use something ψ(α) instead of α).

Speaking of which, I wonder why the diagram stops at ω1. There's a very strong link between uncountable ordinals and nonrecursive ordinals.So the diagram really should have had 4 similar sections instead of 3.