So it is not up to you. Desires are not typically absolute things; I might prefer chocolate cake to carrot cake, but still decide to have the carrot cake. It is an assumption that this choice originates in something external; if Strawson’s definition is apt, it does not (or at least, not fully).
You keep asserting this, but what’s your actual argument for it? Is it supposed to be self-evident? I’ve supplied the BA as the, to me, most reasonable way to spell out this inconsistency, but so far, you seem reluctant to either indicate whether you agree, or point out where you disagree. So then what is your argument for this inconsistency?
There is no reasoning there, this is just the definition, hence, an initial assumption (per impossibile, by Strawson’s lights). Strawson then purports to lead this definition to a contradiction, by pointing out the infinite regress, and again, you seem to have a similar intent with ‘kicking the can down the road’. So may I presume that you agree, barring this, that the definition used (if it were consistent) outlines a notion of free will that captures the intuition about it adequately? (Otherwise, the argument against it obviously gets no traction, as it would be aimed at the wrong target.)
(Indeed, this shouldn’t need to be pointed out, but the ‘nobody has given a definition of free will’-gambit, mistaken as it is, cuts both ways: if it were true, then the statement ‘free will is impossible’ would also just be vacuous.)
Again, that’s just an assumption—taking the ‘infinite regress’ horn of the Münchhausen trilemma, and presuming that the agent couldn’t contain that regress. You could just as well use the ‘dogmatic’ horn, as you and others seem to be willing to do with randomness: random outcomes just happen; likewise, free choices just happen, i.e. are not subject to further analysis.
This is not a problem unique to free will, it’s a problem with the ultimate foundation of anything, and highlights nothing other than inherent limitations to theory-building. Most people are happy with these limitations when it comes to randomness or the origin of the world, but suddenly find themselves bothered when it comes to free will, which indicates that it’s really the subject matter, not the issue pointed to that’s troubling to them.
Ah, gotcha. But then you’re again just assuming that whatever an agent does must be due to its inputs; this is not the case, for instance, for the Zeno machine.
There’s nothing problematic about ‘itself’, it’s just a denotational term. Call it ‘Bill’, if you prefer. What Bill does is ultimately due to Bill.