User blog comment:Ubersketch/Hypernomial Hierarchy/@comment-35470197-20190604211432/@comment-34422464-20190605022021

You pretty much missed the point of the whole thing. FSes aren't well defined for erdinals, but chances are, it works for hypernomials. It's based on using a particular set of erdinals which then get applied, and the resulting ordinals get put in the set ad infinitum.