On Mon, Jan 20, 2014 at 11:28:03AM +0100, Bruno Marchal wrote:
> 
> On 19 Jan 2014, at 22:24, Russell Standish wrote:
> >
> >Re the creativity question - it is still an open problem, ISTM.
> 
> I think this is solved. Creativity = Universality. (Turing
> universality). Post gave a definition of "creativity", related to
> Gödel's incompleteness. Then It has been shown equivalent with
> universality.
> Creativity, in Post sense, is a form of ability to compute limits,
> and move to something else. It is related with the ability to refute
> all theories about oneself (the universal dissidence).
> 
> Of course our laptops do not seem quite creative, but this is
> because they are programmed that way. The universality is hidden by
> the many aps. A bit like the over-heavy programs in some secondary
> schools can suffocate the natural creativity of children.
> 

It is not solved until someone demonstrates a computer program that 
unambigously exhibits open-ended creativity. (Or someone proves this
is not possible, an outcome I think is unlikely).

The best example I think of todate is some work by John Koza which
lead to some patents being awarded for electrical circuits designed by
a genetic programming algorithm. But such examples are still bounded
and rather limited scope.

I haven't had a chance to study and understand Post's definition (sure
I've looked at it, but didn't grok it), but if you say it is
equivalent to universality, then its not really going to contribute to
the solution.

This is a hard problem, though hopefully not as hard as "The Hard
Problem". It's resolution may give some insight on "The Hard
Problem", though :).

Cheers

-- 

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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
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