User blog comment:Wythagoras/All my stuff/@comment-10429372-20130715145943/@comment-1605058-20130716083708

But if I(n) denotes convergent of I_x(n) is proper definition, and is "outside of time", so allowing it in iota function set will lead to change this convergent point. So I(n), as well as all recursion around it, will never be in iota function set.

The power of ¥ function comes from not what has been defined, which is very human dependent, but from what can be defined, which is outside of humanity.