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ChaosMote comments on Harry Potter and the Methods of Rationality discussion thread, February 2015, chapter 113 - Less Wrong Discussion
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I don't see how there could possibly be a real solution. No matter what Harry offers Voldemort -- for example even if he offers to make an Unbreakable Vow to devote himself to serving Voldemort's purposes -- Voldemort will still worry that the prophecy will mean that Harry will end up destroying the world. So he will simply kill him anyway, like an AI Gatekeeper who doesn't listen but simply says "AI DESTROYED" immediately.
You make a good point - in this instance, Voldemort is very much difficult to bargain with. However, I don't agree that that makes the problem impossible. For one thing, there may be solutions which don't require Voldemort's cooperation - e.g. silent transfiguration while stalling for time. For another, Harry can still get Voldemort's cooperation by convincing Voldemort that his current action is not in Voldemort's interests - for example, that killing Harry will actually bring about the end of the world that Voldemort fears.