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CarlShulman comments on What Can We Learn About Human Psychology from Christian Apologetics? - Less Wrong
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... Um, the default assumption is that any given hypothesis is wrong, you can't get your priors to converge otherwise. Omnipotent intelligent beings are sufficiently complex that I'd need a few megabits in their favor before I gave them parity with physics.
This given hypothesis is wrong. A megabit means a 2^1,000,000+ odds ratio.
If you can specify physics with n bits, and pick out a narrow class of humans or computers or books with ~k bits, and humans can produce an algorithmic description of a world with an omnigod, then you can specify the omnigod with ~n+k bits.
I don't think it takes a megabit to specify a world like Permutation City for an intelligence to be essentially omnipotent in. Specifying intelligence along the lines of AIXI with unbounded computation requires few bits.
Point. I was thinking in terms of "this particular intelligence," and whatever an AGI looks like I will happily offer 999:1 odds it will take more than a megabit of disc space. But if you just want "an intelligence," yeah, not nearly as much.
... Still would need an awful lot to compete with physics, though.