Good!
Proposition A - The universe is deterministic therefore the Gödel Box correctly predicts decisions.
Proposition B - It is obvious that a subject informed in advance of the Gödel Box prediction of the action he is to decide on will be able to change his decision, thereby making the prediction false.
Proposition B is the one I take issue with. It simply doesn't logically follow that because "
a subject informed in advance" is
able to change his decision that he
will change his decision. For this reason it's not necessarily a logical contradiction.
We don't need the implication you say doesn't exist. All we need is that you see proposition A and B as both true. If there is this apparent conflict then it is paradoxical. So we need to change proposition B to make sure you accept it as true.
If you want to tighten up Togo's TE I suppose you could stipulate that the subject will always and without exception do the opposite of what's predicted, in which case you've asked the godel-box to perform an unsolvable calculation (it entails an infinite feedback loop). This is why embedded subsystems within the universe are problematic for absolute predictability.
Why "always"?
All you need to fault a claim is one counterexample. I just need to convince you that some people will make the Gödel Box's prediction false by taking a decision different from the one predicted.
So, Ok, I need to change my formulation of the paradox to take your comments into account:
Proposition A - The universe is deterministic therefore the Gödel Box correctly predicts decisions.
Proposition B - Among the subjects informed in advance of the Gödel Box prediction, some will change their decision, thereby making the prediction false. This will be true in particular if subjects are sufficiently motivated to fault the Gödel Box, for example by rewarding them if they succeed and by punishing them if they fail, for example by adding a mechanism designed to kill them in case of failure.
So, what say you? Do you accept both A and B as true? If not, why?
However determinism only implies external predictability, that is, the possibility for an external observer, not part of the universe, to predict, in principle, all future states of the universe.
I agree with that but then this is clearly a metaphysical claim, which you and other materialists should dismiss out of hand as unfalsifiable.
EB