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gRR comments on Tools versus agents - Less Wrong
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By (super-)intelligence I mean EY's definition, as a powerful general-purpose optimization process. It does not need to actually know about natural language or our universe to be AI-complete. A potential to learn them is sufficient. Abstract mathematics is arbitrarily complex, so sufficiently powerful optimization process in this domain will have to be sufficiently general for everything.
In theory we could all live inside an infinite turing simulation right now. In practise any super-intelligences in our universe will need to know of our universe to be super-relevant to our universe.