User blog comment:Ubersketch/A universal notation/@comment-36957202-20181225213307/@comment-35470197-20181225222131

@Ynought

It is not a "notation".

@Ubersketch

> Ideally it would be able to have unlimited growth rate, be able to express any kind of recursion in a compact manner

Literally, it is really hard to create a recursive notation whose growth rate (restricted to standard natural numbers) goes beyond that of the transcendental integer system by Friedman, because it goes beyond all recursive notations which give provably total computable functions.