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dankane comments on Causal decision theory is unsatisfactory - LessWrong
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OK. Name one.
Correlation-by-congruent-logic can show up in situations that don't necessarily have to do with minds, particularly the agent's mind, but the agent needs to either have an epistemology capable of noticing the correlations and equating them logically within its decision-making procedure -- TDT reaches in that direction.
Sorry. I'm not quite sure what you're saying here. Though, I did ask for a specific example, which I am pretty sure is not contained here.
Though to clarify, by "reading your mind" I refer to any situation in which the scenario you face (including the given description of that scenario) depends directly on which program you are running and not merely upon what that program outputs.