User blog comment:Wythagoras/All my stuff/@comment-10429372-20130715145943/@comment-7484840-20130715162206

But the ¥ function is defined by humans, as (I think) we are all human! As humans, we can't define anything outside of humanity. When the iota function ends, so too will the universe and also humanity. If the ¥ function can be well defined, then it is in the iota function set. I believe that the ¥ function, with sufficiently large input, will just produce an output similar to 'the largest non-infinite number', which makes no sense. Anything at all that can be done by humanity in googology will either not have a definite value, or form part of the iota function set.