turchin comments on Using the Copernican mediocrity principle to estimate the timing of AI arrival - Less Wrong Discussion
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Also, one more idea for applying Copernican principle to AI. I live in (random moment of) period of time during which AI is technically possible (we have powerful computers) but before it will be actually created. If we assume that technical possibility of AI was reached around 2000, we could come to the similar conclusion as in OP. But in fact we can't know in advance needed power of computers for AI, so this logic is more circular.