On Mon, Apr 24, 2017 at 9:20 PM, Russell Standish <[email protected]>
wrote:

> On Mon, Apr 24, 2017 at 11:42:44AM -0400, John Clark wrote:
> > On Sun, Apr 23, 2017 at 11:42 PM, Russell Standish <
> [email protected]>
> > wrote:
> >
> >
> > > ​> ​
> > > If we
> > > ​ ​
> > > take the usual (mathematical) meaning of computation, then I can point
> > > to a potential counter-example: beta-decay. Recording the arrival
> > > times of electrons from beta decay using a clock and electron detector
> > > gives a time series that to our best knowledge is random and hence
> > > uncomputable. It is an undeniable physical process that is not a
> > > computation.
> > >
> >
> > ​I think you're right although Bruno would disagree, he has said from the
> > point of view of somebody who could observe the entire multiverse (a
> point
> > of view that can not exist) everything is deterministic. However what
> can't
> > be denied is there are only 2 possibilities: ​
> >
> >
> > ​1) That event DID have a cause and thus is computable (it may be a very
> > long computation ​but it is finite).
> >
> > 2) That event did NOT have a cause and thus was random and not
> computable.
> >
> > One of those two must be true for everything but I don't see how that
> > second possibility could have much relevance if you're interested in the
> > study of intelligent behavior.
> >
>
> I happen to think that random sources will prove to be rather
> important to intelligent behaviour, or rather creative behaviour,


If creative processes are anything like genetic algorithms, which are based
on selecting and random permutations to explore large combinatorial spaces,
I think there is a strong argument to be made that randomness is important
to creative behavior. Are you of the opinion that fundamental randomness,
rather than pseudorandomness is important?

Cryptographically secure random number generators are pseudorandom number
generators (deterministic algorithms with an internal state) and are
designed to be indistinguishable from truly (fundamentally) random number
generators in time less than O(exp(state))--it takes exponential time to
decide if the output is from a pseudorandom number generator or a
fundamentally random source.

If t is possible to make a cryptographically secure pseudorandom number
generator then I think this means that a creative processes that runs in
sub-exponential time, should demonstrate creativity whether it uses a
cryptographically secure pseudorandom number generators or true random
number generators. Otherwise, the failure to demonstrate creativity in one
case but not the other could be used to differentiate cryptographically
secure random number generators from truly random sources in sub
exponential time.

I recall you had done some experiments on this in the past, and thought
that you might appreciate some possibly relevant theoretical ideas
concerning this question.

Jason

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