--- On Tue, 11/25/08, Eliezer Yudkowsky <[EMAIL PROTECTED]> wrote:

> Shane Legg, I don't mean to be harsh, but your attempt to link
> Kolmogorov complexity to intelligence is causing brain damage among
> impressionable youths.
> 
> ( Link debunked here:
>   http://www.overcomingbias.com/2008/11/complexity-and.html
> )

Perhaps this is the wrong argument to support my intuition that knowing more 
makes you smarter, as in greater expected utility over a given time period. How 
do we explain that humans are smarter than calculators, and calculators are 
smarter than rocks?

Obviously that is not true with unlimited computing power. With a very simple 
program I could answer any question that could be proven by enumerating all 
proofs. In that world, if a problem requires around 3^^^^3 computation steps, 
then you would need log 3^^^^3 bits to specify the number of steps, which is 
essentially the same number. With real computers, I think the difference 
between O(t) and O(log t) complexity is important.

I realize that approximating real computers with Turing machines is not always 
justified.

-- Matt Mahoney, [EMAIL PROTECTED]



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agi
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