User blog comment:MachineGunSuper/The Infinity Generator/@comment-31663462-20180114194301

As a side-note, if we took $$\varphi(\alpha)=\omega_\alpha$$ and kept the rest of the Veblen funvtion the same, then the Ԓ you mention in the comments won't even surpass $$\aleph_{\varphi(2,0)}$$ (by that I mean using only finitely many symbols of your function and natural numbers, you can't express that cardinal and above.)