When you repeat this experiment a bunch of times, I think an SSA advocate can choose their reference class to include all iterations of the experiment. This will result in them assigning similar credences as SIA, since a randomly chosen awakening from all iterations of the experiment is likely to be one of the new copies. So the update towards SIA won’t be that strong.
This way of choosing the reference class lets SSA avoid a lot of unintuitive results. But it’s kind of a symmetric way of avoiding unintuitive results, in that it might work even if the theory is false.
When you repeat this experiment a bunch of times, I think an SSA advocate can choose their reference class to include all iterations of the experiment. This will result in them assigning similar credences as SIA, since a randomly chosen awakening from all iterations of the experiment is likely to be one of the new copies. So the update towards SIA won’t be that strong.
This way of choosing the reference class lets SSA avoid a lot of unintuitive results. But it’s kind of a symmetric way of avoiding unintuitive results, in that it might work even if the theory is false.
(Which I think it is.)