OK. I have read the SEP entries you identified (for the umpteenth time, actually). They do not change my view of what I have been writing...
You've lost sight of what we (you and I) were discussing.
I initiated this current exchange in order to draw attention to your clearly mistaken belief about what compatibilists claim:
classical Compatibilists (as contrasted with the pseudo-Compatibilists in this thread) claim to accept the same definition of Free Will or Freedom as is used by Incompatibilists,.
Compatibilists
do not claim to accept the same definition of free will as used by incompatibilists - that would be nonsensical. I provided supporting evidence and in response, rather than attempt to defend you original claim, you chose to write at length about what you see as the failings of compatibilism.
You should either admit you were mistaken or present evidence in support of your claim (quoted above). You need to understand that I'm not presenting a case for compatibilism I'm simply pointing out errors in your criticism of compatibilism.
As can be seen, you begin the post quoted above (Post No. 1,817) with the statement that "You've lost sight of what we (you and I) were discussing." I disagree.
For purposes of orientation, your post of which you claim I have lost sight is Post No. 1,789, and my allegedly misplaced reply is Post No. 1,816 (which quotes Post No. 1,789 in its entirety, so as not to be accused of misstating Post No. 1,789).
And, to specifically reframe the issue, your Post No. 1,789 begins by quoting a snippet from my prior Post No. 1,787, which stated: ". . . classical Compatibilists (as contrasted with the pseudo-Compatibilists in this thread) claim to accept the same definition of Free Will or Freedom as is used by Incompatibilists . . ." For purposes of context, yy unedited statement in Post No. 1,787 was the following:
I like the way you have framed the issue as being that the central difference between Compatibilists and Incompatibilists lies in their respective definitions of Free Will or Freedom -- although I will add that classical Compatibilists (as contrasted with the pseudo-Compatibilists in this thread) claim to accept the same definition of Free Will or Freedom as is used by Incompatibilists, but draw a different conclusion respecting the compatibility of that concept with determinism.
After quoting the snippet from my Post No. 1,789, you began Post No. 1,816 with the following retort: "You're mistaken. They don't." You then paraphrased two discussions from SEP, which you claim to support your assertion that Incompatibilism and Compatibilism define Free Will differently.
In support of your assertion that Incompatibilism and Compatibilism employ different definitions of Free Will, you principally relied upon the following statement
Classical Compatibilism at its most basic is the unencumbered ability of an agent to do what she wants - so understood, free will is compatible with determinism since the truth of determinism does not entail that no agents ever do what they wish to do unencumbered (SEP).
The above-quoted definition of Free Will within Classical Compatibilism -- i.e., "the unencumbered ability of an agent to do what she wants" -- is entirely consistent with the definition of Free Will within Incompatibilism. Using that definition, the difference between Incompatibilism and Classical Compatibilism is that (i) Incompatibilism reasons that Free Will (as so defined) cannot exist if Determinism is true, and (ii) Classical Compatibilism asserts that Free Will (as so defined) can exist notwithstanding the truth of Determinism -- just as I stated in Post No. 1,787, when I wrote that "classical Compatibilists (as contrasted with the pseudo-Compatibilists in this thread) claim to accept the same definition of Free Will or Freedom as is used by Incompatibilists, but draw a different conclusion respecting the compatibility of that concept with determinism." The fact is that Classical Compatibilism and Incompatibilism utilize the same definition of Free Will, but then employ different reasoning -- the main difference being that the reasoning of Incompatibilism is sound, and the reasoning of ClassicalCompatibilism is fallacious. As explained by the SEP discussion you identified:
Despite the classical compatibilists’ ingenuity, their analysis of could have done otherwise failed decisively. The classical compatibilists wanted to show their incompatibilist interlocutors that when one asserted that a freely willing agent had alternatives available to her—that is, when it was asserted that she could have done otherwise—that assertion could be analyzed as a conditional statement, a statement that is perspicuously compatible with determinism. But as it turned out, the analysis was refuted when it was shown that the conditional statements sometimes yielded the improper result that a person was able to do otherwise even though it was clear that at the time the person acted, she had no such alternative and therefore was not able to do otherwise in the pertinent sense (Chisholm 1964, in Watson (ed.) 1982, pp.26–7; or van Inwagen 1983, pp. 114–9).
and
So even if an unencumbered agent does what she wants, if she is determined, at least as the incompatibilist maintains, she could not have done otherwise. Since, as the objection goes, freedom of will requires freedom involving alternative possibilities, classical compatibilist freedom falls.
Although you limited your post to the definition of Free Will advanced by Classical Compatibilists, post-Classical Compatibilists have advanced multiple other definitions of Free Will in an effort to cure the failure of the definition of Free Will you provided to refute Incompatibilism, as identified in the quotes above from SEP. Incompatibilists, however, are willing to each and every one of those alternative definitions of Free Will and continue to contend that none of them overcomes the logical fallacy of claiming Free Will (howsoever it has been defined) to exist if Determinism is true. The only definition of Free Will that an Incompatibilist would accept as being logically compatible with the truth of Determinism is a definition of Free Will by which Free Will exists so long as humans "feel" as if they have Free WIll, even though their thoughts, decisions, and/or actions are fixed by antecedent activity over which they have no control, whatsoever. Not even the most ardent Compatibilist, however, is willing to accept the mere illusion of Free Will as being the equivalent of the actual existence of Free Will.
Based on the foregoing, it is evident that the difference between Incompatibilism and Compatibilism (whether Classical or post-Classical) has nothing to do with the definition of Free Will, which was your original point in Post No. 1,789 of which I have not lost sight.
The other approach of post-Classical Compatibilism to refute Incompatibilism is to reject the Incompatibilist definition of Determinism -- as is being done regularly on this board by posters who identify as Compatibilists who assert that human thought, decision, and/or activity is not fixed by antecedent activity, and is only fixed upon occurrence. If one were to define Determinism as a process that involves human thought, decisions and/or activity that are not fixed by antecedent activity, and is only fixed upon occurrence, that would defeat the logic of Incompatibilism. It would do so, however, in a manner that avoids the logical fallacy of the Compatibilism syllogism (both Classical and post-Classical) by throwing out one of the two foundational propositions (i.e., the Incompatibilist definition of Determinism) and replacing it with a different proposition that is reverse engineered to support the otherwise fallacious Compatibilist conclusion. Again, that is why James wrote that all efforts of Compatibilists to defeat Incompatabilism are "a quagmire of evasion," because:
"The issue . . . is a perfectly sharp one, which no eulogistic terminology can smear over or wipe out. The truth must lie with one side or the other, and its lying with one side makes the other false."
At rock bottom, and as evidenced by the many posts of the posters on this thread who identify as Compatibilists, the difference between Incompatibilism and Compatibilism is NOT in the definition of Free Will. Rather the difference in the classical debate is in the reasoning, and the difference in the more modern debate is in the definition of Determinism. In essence, Compatibilists have been unable to come up with a logically coherent reconciliation of Classical Determinism with any version of Free Will they posit (other than one that is admittedly illusory) and have resorted to refining Determinism into something that is actually incompletely deterministic -- and they tend to rely upon Quantum Physics / Quantum Mechanics to support their approach. Even that approach fails for multiple reasons, but that is beyond the original point of Post No. 1,789 -- of which I have not lost sight.
If, as in the past, you want to deride this post as pontification, that is your prerogative. It will not, however, advance the discussion. What will advance the discussion is to address the points of this post with which you disagree with an explanation for the disagreement that challenges the stated assertions head on and does not disparage the person who asserts them or the manner in which you perceive the assertions to be asserted. For example, if you believe there is a sentence or passage of SEP or other authoritative literature that states, in words or substance, that "the difference between Incompatibilism and Compatibilism has nothing to do with the definition of Free Will," it would be helpful to present that statement with reference to the authority, so that it can be evaluated on this thread. Otherwise, I understand and accept that to be your personal view of the matter, and we can leave it at that.