Eliezer_Yudkowsky comments on Greg Egan and the Incomprehensible - Less Wrong
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You know how there are people who, even though you could train them to carry out the steps of a Universal Turing Machine, you can't manage to teach them linear algebra, so there are problems they can't even represent compared to people who know linear algebra? I can't exhibit to you specifically what it is for obvious reasons, but there's going to be lots of stuff like that where a human brain just can't grok it, even though - like a sufficiently well-trained dog - we could be trained to carry out the operations of a UTM that did grok it, given infinite time and paper. You could train a chimp to simulate a human brain given infinite time and paper, I've little doubt. So what? There was still a huge jump in qualitative ability.