User blog comment:ATAPORAE/Предел гугологии/@comment-1605058-20141230082834

I, personally, don't think there is a "one to rule them all" sort of function. I believe that, no matter what, we can always create functions which are in some way significantly stronger than others. There have been attempts to create functions which are diagonalizing through "all there is", e.g. iota function and Tachyonumber, but I believe that no such attempt will ever be successful.