User blog comment:Ikosarakt1/Ideas of going past psi(K)/@comment-24509095-20140618162245/@comment-5150073-20140618182934

It becomes, but we can soften it if we use more and more simplified and extensible notations. Once we come to the point when ordinals escape the notation, like as in the sequence:

$$\varepsilon_0, \zeta_0, \eta_0, \cdots$$

But we can use $$\varphi(\alpha,0)$$ to indicate $$\alpha$$-th member. I done the same thing with the sequence$$\Omega, M, K, \cdots$$.