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casebash comments on The Number Choosing Game: Against the existence of perfect theoretical rationality - Less Wrong Discussion
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The laws of logic don't prohibit minds with infinite states from existing, nor do they prohibit waves with infinite frequencies existing, nor eyes that can detect infinite variation in frequency. These aren't properties of our world, but they don't contradict logic. "It's all connected somehow, but I can't show how" - seems a bit like magical thinking.