Mike Archibold said:
For a long time I've had
the intuition that an AGI is hidden in this somewhere... I don't have
a comment, other than that much, though.
 ---------------------------------------
That is interesting and I have wondered about such things as well.
However, I have become slightly more skeptical that an analog system
would be able to solve some complex operations so much faster than
digital computers that it would eliminate or solve the contemporary
complexity problem.  I have also wondered if trinary computers or
trinary-binary computers would be better suited to represent AI
problems.

I came up with an research plan which would allow me to solve logical
satisfiability in polynomial time if that were feasible.  (I am not
saying that I have found the solution just that I thought I landed on
a research path which would work if it was at all possible) The plan
is a perfectly good one and it sounded reasonable to me because it was
well suited to the problem (it was reasonably integrated or mapped
onto the problem), but without some initial evidence, there is no
reason for me to actually believe that it would work.  I believe that
is the key to making intuition work for you. You have to see something
that actually indicates that it is more effective than other
strategies. If you read the entry on
http://en.wikipedia.org/wiki/Conjunctive_normal_form you can find a
section:
"Conversion into CNF"
..."Since all logical formulae can be converted into an equivalent
formula in conjunctive normal form, proofs are often based on the
assumption that all formulae are CNF. However, in some cases this
conversion to CNF can lead to an exponential explosion of the
formula:"

So deriving a CNF form from a logical formula can be, in some cases,
as complicated as Satisfiability.  This apparent flaw in the system
may be the lodestone for guiding research into the problem, because in
detailing a way that a equisatisfiable CNF formula can be derived for
one such formula, there may be a glimpse into a potential research
path for satisfiablity.  So even though I have absolutely no evidence
to support this theory, I do have some experimental evidence that a
problem that has some important similarities does have a solution.
(And I have a sense that I should be able to find numerical functions
can represent logical formulas in novel ways so I have other ideas
that I can use along with this equisatisfiability idea).

So the idea of a modern analog computer is very interesting and it
could help with a lot of complexity problems. The key to an insightful
intuitive sense about this is that there has to be something that
shows that it might be feasible to improve the contemporary computer
based on some experimental or technical knowledge of how the thing
might work.
 Jim Bromer



Jim Bromer


On Fri, Jan 10, 2014 at 4:39 PM, Mike Archbold <[email protected]> wrote:
> http://www.eurekalert.org/pub_releases/2014-01/uop-prh010614.php
>
> "Metamaterials are composites of natural materials, but are designed
> in such a way that they manipulate electromagnetic waves in ways that
> are more than the simple sum of their parts. Objects made from natural
> materials have atoms and molecules that are arranged in certain
> patterns dictated by the laws of physics and chemistry. Those patterns
> give natural materials their electromagnetic properties, which in turn
> determine how they influence the properties of waves. By going to
> another layer of organization — making patterns of multiple materials
> at length scales smaller than the waves passing through them, like a
> series of nanoscopic gold cubes embedded in glass— metamaterial
> designers can alter waves in ways not possible by simple surfaces or
> lenses."
>
> This kind of research really interests me.  For a long time I've had
> the intuition that an AGI is hidden in this somewhere... I don't have
> a comment, other than that much, though.
>
>
> -------------------------------------------
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