Dear James,
I very much enjoyed your essay, including the addendum that you posted March 28.
I strongly agree with your approach to the philosophical issues. I am a neuroscientist, and I think that misconceptions about philosophy (the big questions) have been the primary barrier to understanding the brain. Even the importance of philosophy is generally dismissed, so it is not surprising that the problems you identify have persisted.
Your ideas about the physical basis of intentionality appear to be remarkably similar to my own, although we use different terms and it is difficult to know how similar they actually are. In your post on my essay, you disagreed with my use of 'knowledge.' But since I see similarities in our views, and since I don't understand exactly what you mean by some of your terms, I have tentatively interpreted several of your ideas and terms to be synonymous with my own. (Not coincidentally, I have given your essay the top rating, and if you win, I will try to see it as a personal victory.)
I interpret your term "spontaneity" as an attempt to overcome the problems associated with the concept of "randomness" or "indeterminacy." To me, all of these terms denote the uncertainty associated with a state of knowledge (for example, given the present position and velocity of a particle, its future location is uncertain). Another such term could be "freedom." I do not see fundamental distinctions between these terms with respect to math and physics. If you do make a distinction that concerns more than connotation and semantic preference (which certainly do matter), I wonder how you would define them with respect to math and physics.
These terms have been the source of a great deal of confusion, which I think comes from a diversity of scientists, each working implicitly with distinct states of knowledge. I interpret your preference for 'spontaneity' as to way to overcome these past misconceptions, whether or not that was your conscious intention and understanding. I myself make a strong effort to minimize my use of the term "random," because its clear implication is to wrongly attribute to an object what is actually a property of an observer of that object.
I interpret your 'spontaneity' as uncertainty about the future given knowledge of the present. That knowledge (information) constrains the future, thereby limiting spontaneity. But there is always uncertainty about the future, and therefore the dynamics of a system have a spontaneous component.
I interpret your 'individual' as information that is local in space and time, and therefore at least partially distinct from all else. I presented my views in detail in a 2012 open-access article in the journal "Information." My understanding of information and logic (knowledge and reason) comes from Jaynes (2003 textbook), although I have my own understanding of its relation to physical systems.
I also believe that a proper understanding of knowledge resolves the problem of free will. It does exist, because no observer has omniscience with respect to the future. It often appears not to exist, because scientists imagine omniscience, with the result that every event appears to be causally determined, or random, or a combination of these. If one abandons the pretense of omniscience (not so hard to do), the future is not fully determined by present knowledge, and thus we have "free will."
You suggest that the spontaneity present at the quantum level is relevant to mental processes and free will. I agree with that, since I think that the principles are the same, whether it is a particle or person choosing a trajectory. The quantum uncertainty present at the level of a particle is negligible at the macroscopic level, and therefore can be ignored in considering brain function. But like the case of the quantum particle, the macroscopic future is uncertain due to partial information in the present, and therefore there is spontaneity and free will.
I have just now responded to your comments on my essay. Thank you for both your essay and comments.
Best wishes,
Christopher