Quantum interactions are inherently indeterministic
Not according to your definition of deterministic. (The probabilities, your source of confusion, determine them).
Nothing at the quantum level can do other than the equations say it must.
Specific outcome as in the one observed.
Which is determined by the interactions.
A probability function won’t be it, as that is just a description of the frequency of outcomes over an infinite number of replays.
That's not how probability works in quantum theory. That's how it is introduced, heuristically, in an introductory class in probability and statistics.
In a probabilistic process there is no cause,
In quantum theory the cause(s) is described by the mathematical equations, and determines the outcome - it's true that from our macroscopic perspective we have no adequate metaphor or analogy to bring to bear, so comprehension is both difficult and limited, but that is not relevant here.
You are only confusing the issue, and others, if you continue to push indeterministic processes (such as probabilistic ones) as being deterministic.
Certainly confusing you. Ok - I'll drop it. As I noted long ago, when warning it off, the muddles of quantum theory make no difference to the thread topic.
This does - we can restart here: " P1: deterministic interactions are not free" That's an assumption. It's not granted.
States aren’t illusion, and I have never said they are.
Bizarre. You're not joking.
Ok, square one: a driver approaches a traffic light. They have the capability of stopping, the capability of going, and the capability of choosing according to the color of the light when they reach it. That's the state of the driver, as they approach the light. None of that is "illusion", right?
What could be illusory is how they appear to us
They don't appear to me, the researchers who investigate them, the instruments that record them, and the entities that react to them, as anything other than observed states.
And all you have done so far is subsume conclusions into assumptions,
I quoted your assumptions, and pointed at them.
And that’s a different argument, starting from the nature of a deterministic interaction. It doesn’t start with the assumption that there is no freedom in a deterministic universe, as you accuse.
There is one argument under discussion here, just one, and it's not different from itself.
Meanwhile: Yes, it does. Right there in front of you. It's labeled "P1", by the poster. The P stands for "Premise", and a premise is an assumption.
James has gone into great detail on that topic, apparently thinking you are able to follow reasoning etc - me, I'm just going to repeat the plain fact of the matter whenever it seems appropriate to remind you.
or maybe taken subsequent arguments that build on the initial conclusion, seen it now stated as a premise,
It is a premise of that argument - that one argument, the only one at issue.
You mean the occasions when you’ve had to reformulate arguments to make your point
Never did that. You lost track of your own argument, and didn't recognize it, is all.
But instead, rather than actually seize on this to examine the question of complexity, and whether that gives rise to freedom, you once again try to use it, fallaciously, to claim an assumption of supernatural freedom.
Your language has gone slippery, as before when you went haywire - you seem to be trying again to have me claim that someone has assumed the existence of supernatural freedom.
What I claimed - and backed with multiple direct quotes - is that you guys are assuming only the supernatural can have freedom in a deterministic system - that to be free in such a system requires doing other than one (deterministically) must. You are thereby excluding, by assumption, all nonsupernatural freedom.
As far as "examining complexity" and whether that gives rise to "freedom", the many opportunities for that - all provided by me, alluded to by James - have been dismissed by you guys as "handwaving" and compared with thermostats and declared (without evidence or argument) to be nonexistent and trivial (both, by turns, even within one post).
But it isn't too late. The months I predicted months ago have passed - intellectual growth and insight are possible.