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timtyler comments on AIXI and Existential Despair - Less Wrong
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Usually you can't simulate the whole universe up to the current time from inside that universe - even if you know the laws and initial conditions - because you run out of storage space. With a growing universe, there may be some possibility of completely simulating its early stages...
Again, neither can I, but I still have beliefs about what the shortest description of the universe is. In particular, I don't believe that my actions figure into the shortest model of the world in a special way, although there is some uncertainty about whether I am only able to hold this belief because I am more introspective than AIXI.