Suppose you have a Newcomb predictor. More interesting than posing one-two box problems would be to predict the subject's actions and do them before the subject becomes aware them. Eventually, their mind may adjust to the backwards causality arrow and we will learn many things
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Sounds like having a copy of yourself that you routinely delegate as much as possible to
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But if that's your intention, then you'd end up having a lot of work delegated to you.
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Like that Doctor Who monster that echoes what you say with a shorter and shorter delay, until it's in sync, and then is leading.