Yes (once you have uploaded your brain into a computer so that it can be copied). If lots of people do this, then in the end most agents will believe that SIA is true, but most descendants of most of the original agents will believe that SSA is true.
With current technology, I think the best you can do is enter a Sleeping Beauty experiment with a 10:1 coin and 100:1 ratio of waking days, guaranteeing you a 10:1 update in one direction or the other, as long as you stay in the experiment. You can even bring someone else along and they will update with you. You’ll lose it when the experiment is over, though.
Like Dacyn says, the best way would be to use mind copying, but we don’t have it yet.
Can I actually do this experiment, and thereby empirically determine (for myself but nobody else) which of SIA and SSA is true?
Yes (once you have uploaded your brain into a computer so that it can be copied). If lots of people do this, then in the end most agents will believe that SIA is true, but most descendants of most of the original agents will believe that SSA is true.
With current technology, I think the best you can do is enter a Sleeping Beauty experiment with a 10:1 coin and 100:1 ratio of waking days, guaranteeing you a 10:1 update in one direction or the other, as long as you stay in the experiment. You can even bring someone else along and they will update with you. You’ll lose it when the experiment is over, though.
Like Dacyn says, the best way would be to use mind copying, but we don’t have it yet.