Why would we think the distributions are identical or the probabilities are exactly 50% when we don’t have evidential symmetry?
Basically, I don’t have enough reason to believe we don’t have evidential symmetry, because the proposed systematic causal effects (even if you separate different kinds of effects or considerations) aren’t quantified, even roughly, with enough justification. You have no reason to believe that the probability that the outcome from action A will be better than x (a deterministic outcome or value) 1000 years from now with a probability p>0 higher than the outcome from action B, for any probability difference p>0 or any x:
EDIT: Also, you can also compare the distributions of outcomes of actions A and B 1000 years from now, and again, I don’t have reason to believe pA1000(x) and pB1000(x) differ by any p>0, for any x, or P[A1000∈X]−P[B1000∈X]>p>0 for any set of outcomes X for any p>0.
Also, even if my EV is 0 and I’m treating it like simple cluelessness, can it not still make sense to try to learn more? Is the value of information under simple cluelessness necessarily 0?
Basically, I don’t have enough reason to believe we don’t have evidential symmetry, because the proposed systematic causal effects (even if you separate different kinds of effects or considerations) aren’t quantified, even roughly, with enough justification. You have no reason to believe that the probability that the outcome from action A will be better than x (a deterministic outcome or value) 1000 years from now with a probability p>0 higher than the outcome from action B, for any probability difference p>0 or any x:
(Compare to the definition of stochastic dominance. You can replace the strict >‘s with ≥’s, except for p>0.)
So, I assume P[A1000>x]=P[B1000>x] for all x.
EDIT: Also, you can also compare the distributions of outcomes of actions A and B 1000 years from now, and again, I don’t have reason to believe pA1000(x) and pB1000(x) differ by any p>0, for any x, or P[A1000∈X]−P[B1000∈X]>p>0 for any set of outcomes X for any p>0.
Also, even if my EV is 0 and I’m treating it like simple cluelessness, can it not still make sense to try to learn more? Is the value of information under simple cluelessness necessarily 0?