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gwern comments on Neuroimaging as alternative/supplement to cryonics? - Less Wrong Discussion
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There's one estimate in the While Brain Emulation roadmap from (Wang, Liu et al., 2003) estimating that the brain has a computational capacity with 10^8432^ bits of memory.
Sandberg & Bostrom sardonicly note in a footnote that 'This information density is far larger than the Bekenstein black hole entropy bound on the information content in material systems (Bekenstein, 1981).'
I'm not surprised that such estimates exist. What I'm more doubtful is the claim that such bounds were "frequently claimed".