Yes, given some of the ways people in a philosophical debate about determinism define free will, it could be called an illusion. Daniel Dennett, a leading compatibilist, often calls it the "illusion of free will". But Dennett has also surveyed different definitions of free will and points out that ordinary usage is not incompatible with determinism. I myself explained when we appear to have free will--before an action is taken and options are available--and when not--after an action is taken and no options are available except in hindsight.
Not sufficiently for me, and you have resisted my attempts to get you to clarify beyond what you had already written.
If you keep saying this after I have explicitly denied it more than once, you are lying. I never said anything to lead you to believe that I dismissed chaos theory, only your reference to it in something you wrote. You are very correct that I do not understand its application to 'Limited Free Will', and I would very much appreciate it if you would explain that to me. It is the kind of thing I have been asking for from you.
Well, duh! That's why I keep asking you for a clarification. If you are unwilling to even attempt one, I think I've put in enough effort here. I keep hoping that you'll at least try. I respect your intelligence, but not your stubbornness.
I believe that Dennett, a well-known compatibilist, would find nothing to disagree with here except where you are saying that limited free will is not compatibilism. He is quite comfortable with saying that free will can be defined in a way that makes it an illusion, but that does not reflect normal English usage of the expression. I explained the difference above in terms of having choices in reality vs. having choices in hindsight. The past is already determined, so no viable choices exist any longer. The future is always undetermined, so viable choices always exist. Free will is an illusion only when viewing it as hindsight. Is that not what you mean by "limited free will"? If not, then what do you mean?
I have yet to see a coherent, concise definition of limited free will that renders it incompatible with the compatibilist position. As for definitions, I accept the fact that more than one definition can be assigned to words, so I tend not to reject them out of hand.
Lets repeat again, again and again . . .
This defines my view of Compatibilism, We disagree, but I do not believe I need to repeat this again.
Compatibilism (Stanford Encyclopedia of Philosophy)
Consider the following incompatibilist objection to the classical compatibilist account of free will:
If determinism is true, and if at any given time, an unimpeded agent is completely determined to have the wants that she does have, and if those wants causally determine her actions, then, even though she does do what she wants to do, she cannot ever do otherwise. She satisfies the classical compatibilist conditions for free will. But free will requires the ability to do otherwise, and determinism is incompatible with this. Hence, the classical compatibilist account of free will is inadequate. Determinism is incompatible with free will and moral responsibility because determinism is incompatible with the ability to do otherwise.
The classical compatibilist account of freedom set out thus far can be thought of as accounting for
one-way freedom, which fixes only on what a person does do, not on what alternatives she had to what she did. The incompatibilist challenge at issue here is that such freedom, even if necessary, is insufficient in the absence of a further freedom to do other than as one does.
I believe this reference supported my argument, No need to reference again . .
The following article is very long and goes into considerable detail concerning research into the nature of human will and the role of determinism in the process.
Free Essay: Internal and External Constraints on Free Will The concept of free will in and of itself is a complex issue with many factors weighing heavily...
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Conclusions
Free will is an elusive but crucial concept. For many years we have known that the functioning of our brain has to do not only with the belief that we have free will but also with the existence of free will itself. Evidence of the unconscious start of movement, highlighted by the RP signal, has led to believe that we had reached an experimental proof of the non-existence of free will—which many already claimed at a theoretical level based on the argument of the incompatibility between determinism and freedom.
Along with other evidence provided by experimental psychology, the branch of studies inaugurated by Libet has contributed to seeing free will as an illusion: this view seemed to be reliably supported by science, and in particular by neuroscience. Recent studies, however, seem to question this paradigm, which sees the initiation and conscious control of the action as the first requirement of free will, allegedly proving that there are no such things.
. . .
According to Craver (
2007), a mechanistic explanation is able to lead to an inter-field integration. There are two relevant aspects to this approach. The functional knowledge that can be drawn from psychological research is a tool to identify neural mechanisms; the knowledge of the brain structure can guide the construction of far more sophisticated psychological models (Bechtel and Mundale,
1999).
The index of free will that I am proposing (Lavazza and Inglese, 2015)—despite surely needing further refinement—might be useful to explore the brain mechanisms that underlie what appears in behavior as “free will”, which no longer seems to be an illusion, not even for neuroscientific research.
As far as how I define Potential Limited Free Will, First the conclusions in above article does not accept the conclusions based on Libet's research.
Potential Limited Free Will accepts basic natural determinism, but does not accept the Hard Determinism as it applies to Free Will. There are many factors that limit Free Will making Libertarian Free will untenable. Limited Free will allows a limited range of possible freedom of choice. I believe the above reference acknowledges that possibility,
The role of Chaos Theory is that the variable of all cause and effect outcomes in nature including the variations of the outcomes of the human decision making process, There are natural limitation of all cause and effect outcomes based on the number of variables. Human choice options come under the same concepts of Chaos Theory as in Nature, I believe the research in the above article demonstrated this variability that in the end does not exclude limited Free Will decisions.