As a 1.4999999999999 boxer (i.e. take a quantum randomness source for [0, 1], take both boxes if 0, one box if 1, one box if something else happens), I don’t think scenario C is convincing.
The crucial property of B is that as your thoughts change the contents of the box change. The casualty link goes forward in time. Thus the right decision is to take one box, as by the act of taking one box, you will make it contain the money.
In C however there is no such casualty. The oracle either put money in both boxes, or it did not. Your decision now cannot possibly affect that state. So you cannot base your decision in C on its similarity to B.
A good reason to one box, in my opinion, is that before you encounter the boxes it is clearly preferable to commit to one boxing. This is of course not compatible with taking two boxes when you find them (because the oracle seems to be perfect). So it is rational to make yourself the kind of person that takes one box (because you know this brings you the best benefit, short of using the randomness trick).
As a 1.4999999999999 boxer (i.e. take a quantum randomness source for [0, 1], take both boxes if 0, one box if 1, one box if something else happens), I don’t think scenario C is convincing.
The crucial property of B is that as your thoughts change the contents of the box change. The casualty link goes forward in time. Thus the right decision is to take one box, as by the act of taking one box, you will make it contain the money.
In C however there is no such casualty. The oracle either put money in both boxes, or it did not. Your decision now cannot possibly affect that state. So you cannot base your decision in C on its similarity to B.
A good reason to one box, in my opinion, is that before you encounter the boxes it is clearly preferable to commit to one boxing. This is of course not compatible with taking two boxes when you find them (because the oracle seems to be perfect). So it is rational to make yourself the kind of person that takes one box (because you know this brings you the best benefit, short of using the randomness trick).