User blog comment:Grand Supreme Kai/Can someone give me a number that dwarfs this one?(if possible)/@comment-80.101.234.232-20130614152253/@comment-7484840-20130614163637

The iota function is just designed to be a thought experiment to produce an unbeatable function, because as soon as someone mentions a function, it is included in the iota function, and so is impossible to beat without a similar function. In the respect that the cutoff for a function being in the iota function is not very well defined, it isn't well defined, but other than that, I don't see any badly-defined parts of it.

Just to be sure the iota function easily beats this one, define f(n) = {LLL [10000^10^10^10^10^10[100000000] {L100,10}10,10 * 500^500000000 +50.]LLL,n}10,10 x 2/s + 50. Now the iota function is definitely more powerful than this, because f(n) has been now ddefined explicitly, and so joins the iota function. Not that it really matters, no one has properly beaten rayo's function yet without actually using it in their better function, and so that easily beats this.