Depends on the complexity of the logical coin. Certainly not for 1+1=2. But probably yes for appropriately complex statements. This is due to strong immediate identification with “my immediately past self who didn’t yet know the truth value”, and an understanding that “he (my past self) cannot literally rewrite my brain at will to ensure this behavior holds, but it’s understood that I will play along to some extent to satisfy his vision (otherwise he would have to invest more in binding my behavior, which sounds like a waste)”. (Of course, I need some kind of proof that the statement has been chosen non-adversarially, and I’m not yet sure that is possible)
Depends on the complexity of the logical coin. Certainly not for 1+1=2. But probably yes for appropriately complex statements. This is due to strong immediate identification with “my immediately past self who didn’t yet know the truth value”, and an understanding that “he (my past self) cannot literally rewrite my brain at will to ensure this behavior holds, but it’s understood that I will play along to some extent to satisfy his vision (otherwise he would have to invest more in binding my behavior, which sounds like a waste)”.
(Of course, I need some kind of proof that the statement has been chosen non-adversarially, and I’m not yet sure that is possible)