(all bold in this post by me)
No shit. This is called correlation due to common cause. It is one of the forms of non-causative correlation.
If there is an element that I cannot cause, then it is irrelevant to my decision-making; for my decision-making seeks to cause something.
So, the absolute lack of any consistency in your stance shows that you have nothing but a deepity. Your stance is a bar of soap: the second I grasp it, it flies out of my hand.
I can prove that you are contradicting yourself here. With the below quotes, we see that you have been maintaining that the player’s Phase 2 choice determines the contents of Box 2, in some way. Here:
Of course, this determination that you are so determined to not define, it relates to your flirtation with retro-causation:
So, you fault CDT for holding the predictor’s action causally insulated from the player’s present reasoning? The predictor does not cause the player to make their choice in Phase 2. And the player’s choice in Phase 2 does not cause the predictor to fill Box 2 accordingly.
The former violates the entire premise of the Newcomb Game, and the latter would be retro-causation.
Lastly, there is this point of yours I missed:
Firstly, you have misinterpreted my diagram. For simplicity, I said the predictor had perfect sensitivity to the player’s predisposition, but that the player’s predisposition only ontically determined the player’s choice in Phase 2 with 99% likelihood.
Flipping this picture is not an alternative. Doing so would imply people’s rational profile never changes, and that people never violate their own rational profile.
The only way to disagree with my diagram on that front, then, would be to say that the predictor’s sensitivity is also imperfect, but all that does is add some extra uncertainty to its prediction. It changes nothing fundamental about the scenario.
Conclusion
You do not have a consistent view, Pierre. I hope your fellow OBs, @Michael, @noAxioms, @Sime, @Patterner, @FlannelJesus can see this. All of you, look at the quotes!
There either is a determination between the player’s choice and Box 2’s contents… or there isn’t.
If it’s merely epistemic, it is not sufficient, as Pierre has agreed. And if it is causal, then it is retro-causal, which Pierre has also agreed is not correct.
Please, let us hold each other accountable. Pierre is claiming a different thing in every post. I have been claiming the exact same things the whole time, and my claims are clear and rigorous. You may disagree with my claims. However, I expect none of you are confused about what I believe.
Conversely, I think even Pierre is confused about what Pierre believes.