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This is the crux of the argument for people who believe foreknowledge is linked to no free choice. In my opinion, you haven't proved this to be true, because your scenarios silently build this impossibility in.
The reason for my entire scenario was to examine the tightly controlled premises that are necessary for it to be possible to accurately know the future.
For it to be possible to know the future with 100% accuracy it follows that the future
must be inherently knowable. If it isn't then foreknowledge is not even an option.
In my scenario the future
is knowable. I am just exploring the ramifications of such a universe.
I'm sure that you will agree that it isn't possible to change the past. Right?
That means a logical extension of my premise of a knowable future is that ALL future is already known by somebody in that future's future so it's all somebody's history.
You probably won't agree with that step though. A lot of people don't.
So how about this? Fred builds a robot spy machine that will follow Bill for his entire life. (on a grander scale we could envision a vast army of these things that will record ALL time) He then builds a time machine that is able to retrieve the spy machine from any future time and bring it back to the present. Maybe that's how he can see into the future. Who knows?
So now Fred has access to video of every instant of time for the rest of Bill's life (potentially everyone who ever lives life too)
This scenario makes all future into recorded history. It is therefore unchangeable. It doesn't matter if Bill (or Tim) are informed about their futures or not. Every action, every choice they will ever make is already recorded. they are effectively living in Fred's past.
Same thing would happen if Fred were to travel to the distant future and look at all the past before returning. he knows what everyone will do at every step along their lives.
I contend that in such a universe (regardless of whether Fred has actually seen it or not) all actions are mapped out and unchangeable. You will do what you will do and there's not a damn thing you can do to change that. All free will would effectively be illusory. We would all be blissfully unaware that we really have no choice in whatever we do as each decision would feel like our own. Only being informed of those choices ahead of time would destroy the illusion. If Fred truly saw Bill choosing blue then that is recorded history and is unchangeable. he is going to choose blue and there is nothing he can do to change that
If this were not the case then you would not be living in a universe in which the future is inherently knowable as Fred's knowledge would be wrong, hence invalidating the premise.
Does that seem like a paradox? possibly. It will need a lot more work to determine if it truly is one I think.
If it does turn out to generate a genuine paradox then we just answered our question as that would mean that at least one of my premises are invalidated and such a universe is not possible.
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If you don't buy that idea, what about my other idea that the multi-universe reality where every decision is made and that such decisions cause branching of into new universes. In that case, free will might be unaffected by foreknowledge.
That is quite possible as an alternative to my scenario, however it is incompatible with my premises.
In a branching universe where every decision generates a new branch for each possible decision then everybody has absolute foreknowledge of at least one possible future don't they. A pure guess would guarantee that you got it right for one possible future.
However, Fred could not possibly know the future any more. he would just see one potential branch which is utterly worthless as a means of foretelling the future.
As you propose, a multi-universe such as this would certainly mean that free will was real and completely unaffected by any individual's foreknowledge but that is because true foreknowledge would be impossible in that multiverse. The best you could do would be to attempt to make the future match your prediction by coercing or persuading others to make choices compatible with your vision of the future. Lots of people do that all the time now.