If the box is transparent, and we can see the money, we simply don’t care what Omega says. As long as we trust that the bottom won’t fall out (or any number of other possibilities), we can make our decision because our information (about which universe we are in) is not incomplete.
Do you pay the money in Parfit’s Hitchhiker? Do you drink Kavka’s toxin?
Good question, but permit me to contrast the difference.
You are the hitchhiker; recognizing the peril of your situation, you wisely choose to permanently self-modify yourself to be an agent that will pay the money. Of course, you then pay the money afterward, because that’s what kind of an agent you are.
You appear, out of nowhere, and seem to be a hitchhiker that was just brought into town. Omega informs you that you of the above situation. If Omega is telling the truth, you have no choice whether to pay or not, but if you decide not to pay, you cannot undo the fact that Paul picked you up—apparently Omega was wrong.
In the first, you have incomplete information about what will happen. By self-modifying to determine which world you will be in, you resolve that. In the second, you already got to town, and no longer need to appease Paul.
Kavka’s toxin is a problem with a somewhat more ambiguous setup, but the same reasoning will apply to the version I think you are talking about.
Do you pay the money in Parfit’s Hitchhiker? Do you drink Kavka’s toxin?
Good question, but permit me to contrast the difference.
You are the hitchhiker; recognizing the peril of your situation, you wisely choose to permanently self-modify yourself to be an agent that will pay the money. Of course, you then pay the money afterward, because that’s what kind of an agent you are.
You appear, out of nowhere, and seem to be a hitchhiker that was just brought into town. Omega informs you that you of the above situation. If Omega is telling the truth, you have no choice whether to pay or not, but if you decide not to pay, you cannot undo the fact that Paul picked you up—apparently Omega was wrong.
In the first, you have incomplete information about what will happen. By self-modifying to determine which world you will be in, you resolve that. In the second, you already got to town, and no longer need to appease Paul.
Kavka’s toxin is a problem with a somewhat more ambiguous setup, but the same reasoning will apply to the version I think you are talking about.