User blog comment:Wythagoras/All my stuff/@comment-7484840-20130715121715/@comment-1605058-20130715142456

I found some ill-definition in Hollom's number. Consider simplest universe possible, with only one function defined at time 0: f(n)=n+1. I_0(n)=f(n)=n+1. For I_1 we can use I_0, so I_1(n)=f(I_0(n))=I_0(f(n))=n+2. So I_x(n)=n+x+1, so it can't have any convergent value. Other than that, if convergent of I_x(200) is defined, so is convergent of I_x(999), so Wythagoras just defined larger number.