On Sun, May 18, 2014 at 07:01:01PM -0700, Craig Weinberg wrote:
> 
> 
> On Sunday, May 18, 2014 9:34:40 PM UTC-4, Russell Standish wrote:
> > This doesn't follow. An evolutionary algorithm with a real random 
> > source, can potentially stumble upon any solution, not just ones for 
> > which no algorithm can find. There even remains some doubt that "real 
> > randomness" is required, so long as the entropy of the random source 
> > is sufficiently high. 
> >
> 
> The Wiles proof didn't have a random source though, it was developed 
> intentionally.

The proof doesn't but Wiles probably did (in his brain, presumably, although he
could have used a coin or something else).

>  
> 
> >
> > In COMP, the universal dovetailer provides plenty of real randomness 
> > from the subjective point of view, that can be harnessed. Perhaps 
> > that's exactly what Andrew Wiles did. (In fact, I really rather think 
> > he did - my proofs, which are not so grand as Andrew's, usually 
> > involve some "divine spark of inspiration", which is just another term 
> > for rolling a random number generator). 
> >
> 
> You're still the one intentionally doing the rolling.
> 

That makes no sense. Rolling an RNG is a mechanical process, if ever
there was one. Intention to solve Fermat's last theorem is outside the
scope of the claim.

-- 

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Prof Russell Standish                  Phone 0425 253119 (mobile)
Principal, High Performance Coders
Visiting Professor of Mathematics      hpco...@hpcoders.com.au
University of New South Wales          http://www.hpcoders.com.au

 Latest project: The Amoeba's Secret 
         (http://www.hpcoders.com.au/AmoebasSecret.html)
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