But more to the point: your post says nothing about free will.
I'll start with the most relevant part:
Were you correct that the brain is basically a calculator than it would be not only equivalent to a finite-state machine but necessarily deterministic. That you are wrong doesn't mean we have free will, but it does rule out an argument against it.
So you've never heard of fuzzy logic nor looked at an artificial neural net.
The first logic text I bought, after taking an intro to symbolic/mathematical logic class as an undergrad, was Merrie Bergmann's
An Introduction to Many-Valued and Fuzzy Logic: Semantics, Algebras, and Derivation Systems and the my first neural network text (
Static and Dynamic Neural Networks: From Fundamentals to Advanced Theory) had a forward by Zadeh and a chapter devoted to fuzzy sets and fuzzy neural networks. My "album" here has scanned & cropped images from that book from an explanation of ANNs in a post I wrote maybe two years ago (I quoted it in a response to you, albeit hidden under a spoiler button so as not to detract from the main point). By the time I started grad school I was convinced that fuzzy set theory was
the way to go via itsd its incorporation in probability, automata, statistics, Likert-like data analysis, Bayesian inference, expert systems, support vector machines, cluster analysis, genetic algorithms, etc.
I've since become far less convinced that there is some single tool that one should always see if one can use. Quite apart from the general computational complexity (increased time interval for learning, additional techniques to select the appropriate number of fuzzy rules, etc.) there is the more general issue of dimensionality. Nor are fuzzy sets the only extensions of the reals:
The complex-valued classifiers all out performed the fuzzy classifier in this case. Also, fuzzy sets aren't particularly extendable to physical instantiations of neural networks (see e.g.,
Perelman, Y., & Ginosar, R. (2008).
The Neuroprocessor: An Integrated Interface to Biological Neural Networks. Springer &
Rasche, C. (2005).
The making of a neuromorphic visual system. Springer; see also
Kozma, R., Pino, R. E., & Pazienza, G. E. (2012).
Advances in neuromorphic memristor science and applications (
Springer Series in Cognitive and Neural Systems Vol. 4) for a thorough treatment of more general treatment of a specific kind of neuromorphic technology).
Indeed: you've never looked at failure-tolerant insect AI.
That would be most swarm intelligence algorithms (I've kept up with ICSI since the first international conference an the same with SEMCCO). The above is just some terms put together that one might find actually used in something close to it (Wedde, H. F., Farooq, M., & Zhang, Y. (2004). BeeHive: An efficient fault-tolerant routing algorithm inspired by honey bee behavior. In
Ant colony optimization and swarm intelligence (pp. 83-94). Springer). Meanwhile, those of us who actually work with such systems keep up with more general trends both in terms of computational intelligence paradigms and soft computing/machine learning.
Natural Computing Series puts out monographs on every manner of bio-inspired computing as well as more theoretical, mathematical, or computational analyses of these (as opposed to application).
Your statements aren't just irrelevant to what I said, they're pretty irrelevant for anybody working in or interested in AI/computation intelligence or machine learning as the first is so general as to be useless and the second is fairly meaningless.