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Annoyance comments on Belief in Self-Deception - Less Wrong
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But those good ol' frontal lobes permit universal computation. We can do it. We're just not very good at it.
If you can emulate arithmetic, the only limit is memory capacity. Ignore that issue, and you're a UTM.
I suppose I should grant that - the principle of charity does not permit me to assume anyone thought there was an equivalent to an infinite tape in reality.