Only in very limited and seldom encountered circumtances.
If a solution can not be found then it is a mathematical model of something not possible in reality.
If it can occur in reality then it can be mathematically calculated, to any degree of accuracy.
That degree is only limited by time and computing power, neither of which are limited in the hypothetical being considered.
Not in general. In general, they can only be approximated in various ways.
That is mathematically proven. It's not going to go away.
No, they can be calculated to any degree of accuracy required.
Yes. And the math is in - you can't have complete knowledge, and if you could you would be unable to predict perfectly. It's mathematically impossible, just as squaring the circle via compass and straightedge is impossible.
Which is irrelevant here, of course - prediction of the future makes no difference to nonsupernatural freedom of will. You can, you can't, doesn't matter at all. Anyone who keeps bringing up this irrelevancy of prediction is arguing from the supernatural assumption - which they should stop making, asap.
Sure, we'll gloss over your unsupported claim if you stop making it?
And you are the one who raised it.
Now that you've been called on it and can't support it, suddenly it's not relevant and it's everyone else who is raising it
Indeterminacy is not at issue - a deterministic universe has been assumed, and nothing appears to be indeterminate to anyone involved.
I know full well that indeterminacy is not an issue, and that we have assumed a deterministic universe, but it seems that others were not aware, and have been trying to turn the question to simply one of "does freewill exist", and in doing so raise the issue of indeterminacy.
As part of his comments he raised an analogy on indeterminacy (a red/green superposition that is composed only of red etc), so it is quite correct to address this.
Maybe if you followed the chain of discussion that you are responding to, rather than knee-jerk reacting, you would have realised that.
And maybe address your criticism to the one who is actually trying to claim that it is relevant.
Your digression into subjective vs objective is another issue resting on your inability to discard the supernatural assumption - all the reality being addressed here under the nonsupernatural assumption is objective.
Once again, no one has ever disputed the process that one calls "freewill", and that is indeed objective, and everything that follows is indeed objective.
But we disagree on whether it is free or not.
You want to claim it is free, and your notion of freedom is certainly part and parcel of that process, just like if I defined a chair as freedom then my diningroom furniture contains freedom.
I'm more interested in whether it really can be considered free in any non-trivial way.
Nothing you have offered has thus far convinced you are onto anything other than a trivial notion of freedom found in bricks, in orbiting Teslas and the ilk.
You are "disagreeing" with a mathematical proof.
Good luck with that.
A proof that you have been unable to provide, and what you have provided you have misunderstood the implications of.
So no, I am not disagreeing with a mathematical proof, but with you.