Non-"function"-ally pure in the programmatic sense. Output based somehow other than purely on input.
And the question is where does that irrationality come from? A random number generator? Any good developer knows there's no such thing as an actual random. They're all either list based or based environmental aspects.
I don't think there's an argument to be made that the human mind isn't just mixing ideas that doesn't rely on some form of magical thinking.
Shining light on the unsupported parts of the other person's argument is step one of debate.
I contend there is no proof of a machine capable of creation purely from the ether.
No, it believes that the mind has an internal state. We have many cases of state which is in practice undecidable. Moreover, in many formulation of quantum physics one can have a state which is unreachable even in theory (not just hidden variable style QM theory, there are ways to get unreachable state even in 'regular' QM[0]). I'm not sure this is true regarding the brain, but for now we have not ruled it out.
>And if that's the case, the question is where does that irrationality come from?
The universe itself. The linked PDF - you might be familiar with the author, he features often on HN - provides one method this is possible (though, again, I'm not saying this is true).
I could make a similarly disrepectful and unsupported claim about the mental state of people who believe most human creative activity is simply recycling learned ideas, and we could spend some time flinging insults at each other, but why?