On Fri, 11 Oct 1996  Hal Finney <hal@rain.org> Wrote:   
                  
                >suppose a genii gives you an infinitely fast computer. [...]                 
                >given such a miraculous device, how hard would it be for                 
                >you, meaning the typical programmer reading this, to produce                 
                >a program  which could pass the Turing test, or better still      
                >one which is super- intelligent?  Where would you start?   
                  
Why not develop intelligence the same way the earth did, after all, we know 
for sure it works. We can in principle simulate anything perfectly, in 
practice however, when we try to do this for anything except perhaps a 
Hydrogen atom, we are stopped by the computational complexity of Quantum 
Mechanics. Obviously this is no problem for an infinite computer, in fact, 
although some things would still be impossible, if a task was possible then 
it would be easy, nothing would be hard.   
           
Simulate an atom then a molecule then an ocean. We know approximately what 
the conditions were like on the early earth, but maybe a very specific  
initial condition is needed for life to evolve. This is no obstacle for an  
infinite computer, just simulate all possible conditions, it's is a VERY 
large number but no closer to being infinite than the number 1 is, it will
take 0 seconds to do it. Maybe most paths do not lead life to intelligence, 
but we know of at least one that does, and our computer will find it with no 
trouble and probably many more. What if I'm not a very good programmer and 
only got a C in Quantum Mechanics? No problem, just keep changing things and
diddling around, eventually ( correction, instantly!) you will get everything 
right and things will start to evolve.  0 seconds after that, your simulated 
life forms will make a major scientific discovery, they will find a way to 
make a computer that is infinitely fast, now their machine is as fast as 
yours, and then ...
    
Unfortunately I don't expect to see an infinitely fast computer this side of  
The Omega Point, but you can do a lot even if it's just astronomically fast. 
Drexler calculated the amount of computer power needed to simulate ALL the 
brains that have ever existed before humanity, that is, all the brains since 
brains were invented in the Cambrian Explosion 570 million years ago. 
He concluded that about 10^38 machine instructions would do the trick.  
A Nanotechnology computer the size of a large present day factory and using  
no more power, could perform 10^38 machine instructions in about 2 years. 
            
                                            John K Clark      johnkc@well.com
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