I probably should have worded my last reply differently, because modeling the human brain with boolean circuits and turing machines is mainly what I have an issue with. While I'm not particularly knowledgable on the brain side of things, I can see the resemblance between neurons and logic gates. However, my contention is that the material constraints of how those processes are embodied are going to have a significant effect on how the system works (not to say that you were erasing this effect entirely).

I want to say more on the topic, but now that my mind is on it I want to put some time and effort into explaining my thoughts in its own post. I'll @ you in a reply if/when I make the post.