User blog comment:Deedlit11/Extending the fast-growing hierarchy to nonrecursive ordinals/@comment-25418284-20130325203802/@comment-1605058-20130325213346

Sorry, Mathjax isn't loading sometimes. Ithought it was lowercase phi there. Using this operator together with fact that Kleene's O diagonalizes through notations, I think we can go through whole Veblen-Church-Kleene hierarchy (or whatever it may be called). Using infinitude of primes we can possibly even extend it to many-variable functions