On Sat, Aug 27, 2016 at 03:38:40PM -0700, Charles Goodwin wrote:
> Hi everyone and everything, I was discussing comp and similar things with 
> Liz the other day and we came across a sticking point in what I think (from 
> memory) is step 7 of the UDA. Maybe you can help?
> 
> I'm assuming AR, "Yes, Doctor" and so on. At step 7 we reach the point 
> where we assume that a physical Universal Dovetailer can be created and 
> that it runs forever, and ask what is the probability that my observer 
> moments are generated by it, rather than by my brain.
> 
> Now ISTM that the UD will have an infinite number of possible programmes to 
> run, so even if it runs forever, how does it get on to the second step in 
> any of them?
> 

By dovetailing. Consider programs p[0], p[1], ... whose steps are
p[i][0], p[i][1], etc

Then run the steps as

p[0][0], p[1][0], p[0][1], p[1][1], p[2][0], p[2][1], p[0][2],
p[1][2], p[2][2], p[3][0], p[3][1], p[3][2], p[0][3], p[1][3],
p[2][3], p[3][3], ...


Other schemes are of course possible. Net result is that all steps of
all programs are eventually executed.

Cheers

-- 

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Dr Russell Standish                    Phone 0425 253119 (mobile)
Principal, High Performance Coders
Visiting Senior Research Fellow        [email protected]
Economics, Kingston University         http://www.hpcoders.com.au
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