Vladimir_Nesov comments on An Intuitive Explanation of Solomonoff Induction - Less Wrong
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Induction, creativity or any other aspect of intelligence can run on a completely deterministic computation, and in a certain sense require determinism/structure to be expressed. The aspect of intelligence and choice that feels like it requires arbitrariness or uncertainty results from logical uncertainty, from not knowing some of the facts implied by what you already know, including the facts you yourself determine.