Big thank you to Hanson for helping illuminate what it is he thinks they're actually disagreeing about, in this comment:
Eliezer, it may seem obvious to you, but this is the key point on which we've been waiting for you to clearly argue. In a society like ours, but also with one or more AIs, and perhaps ems, why would innovations discovered by a single AI not spread soon to the others, and why would a non-friendly AI not use those innovations to trade, instead of war?
Just a thought: given a particular state-of-the-art, does an AI's innovation rate scale superlinearly with its size? If it does, an AI could go something like foom even if it chose to trade away all of its innovations, as it would stay more productive than all of its smaller competitors and just keep on growing.
The analogy with firms would suggest it's not like this; the analogy with brains is less clear. Also I get the sense that this doesn't correctly describe Yudkowsky's foom (which is somehow more meta-level than that).
Actually, the relevant thing isn't whether it's superlinear but whether a large AI/firm is more innovative than a set of smaller ones with the same total size. I was assuming that the latter would be linear, but it's probably actually sublinear as you'd expect different AIs/firms to be redundantly researching the same thing.
Today's post, Surprised by Brains was originally published on 23 November 2008. A summary (taken from the LW wiki):
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