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Emile comments on Rationality Power Tools - Less Wrong
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In my mind the distance between the resolution necessary to make something brain-like and functional, and the resolution necessary to make a perfect copy of the target brain is not very large - at least, not large enough to have a big difference in expected time of arrival.
By analogy to a computer: once you can scan and copy a computer well enough for the copy to function, you're not very far from being able to make a copy that's functionally equivalent.
Bearing in mind that we created computers in such a way that copying is easy. And we created them digital and use checksums.