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Jesse Clifton's avatar

Nice post!

On the doppelganger issue, my intuition is to say that in realistic cases, the doppelgänger’s algorithm would have to be structured as DopplegangerAlgorithm(x) = DoTheOpposite(MyAlgorithm(x)). I.e., we do have a “shared will” in a sense, but the doppleganger is structured so as to do the opposite of what our shared will chooses.

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Plasma Bloggin''s avatar

I think the best solution is to point out that control is not zero sum: Multiple beings can have full control, or nearly full control, over the same thing. Consider a simple example: I can control my TV with a TV remote. It makes sense to say both that the remote is in control of the TV, and that I am in control of the TV. Does the fact that I am in control of the TV diminish the control that the remote has over it? No, not in the slightest, since the remote is the mechanism by which I control the TV. I'm not creating some independent channel to control the TV, which could cause the TV to do something other than what the remote tells it to do. The key here is that, assuming that the remote and TV always work perfectly, my control and the remote's control are guaranteed to coincide in the sense that we are both controlling the TV to do the same thing. In such a case, there is no conflict in saying that I and the remote both have complete control over the TV. You can come up with lots of other similar examples where the same thing holds.

This explains both the approximate twin and bizarro twin scenarios: In the approximate twin scenario, I only have partial control over my twin because my actions aren't completely guaranteed to coincide with his. They are only partially guaranteed to coincide, i.e., they have some correlation with his actions. The twin himself has complete control over his actions, and partial control over me, for the same reason. My bizarro twin, on the other hand, does have complete control over me, and I over him because I am controlling him to make him do the exact same thing that he is freely choosing to control himself to do (namely, the opposite of whatever I do). So you can basically think of the amount of control I have over my twin as being a functioning of the strength of the correlation (positive or negative) between our actions. The stronger the correlation, the more we can have overlapping control, where both I and my twin are controlling the same thing without our control conflicting.

One might object to the TV remote example I gave on the basis that the remote doesn't have free will, but I think this is irrelevant. The twin problem is a problem specifically about two different beings having control over the same action, and not over any other aspect of free will, like the control being exercised with conscious deliberation in line with one's will. At least by a compatibilist's lights, replacing the control of an unconscious remote by the control of a freely-willed person won't change anything.

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