Hmm...

You mention 

1) generalization
2) graded/smooth response

as advantages of connectionist systems

But of course, there is a vast amount of work on inductive and abductive
reasoning (i.e. generalization) in logic-based systems, and on uncertain
logics (which provide graded/smooth response quantified by real number
values).  So even purely logic-based systems can provide both
generalization and graded/smooth response.

Novamente is not a neural network system, in the sense that its
equations do not try to mimic the dynamics of the brain.

However, I'm not sure it's a "symbolic" system in the traditional sense
either.  This depends on how you intepret "symbolic."

There are nodes and links in Novamente.  Let's say you have Novamente
hooked up to a camera eye with greyscale output, and the output of pixel
(100,200) has intensity 30% of maximum at time 12:30 PM March 17 2004.
Then we have a relationship in Novamente that we symbolize as

ExampleLink :=

atTime
        (
        ExecutionLink PixelIntensity (100,200) .3 ,
        12:30 PM March 17 2004
        )

Here for instance

* 100 and 200 and .3 are NumberNodes
* 12:30 PM March 17 2004 is a TimeNode
* PixelIntensity is a SchemaNode (indicating a function that takes input
and output
* atTime is a PredicateNode
* the (,) notation indicates a ListLink

Let's say Novamente then represents a circle as a certain pattern among
PixelIntensity values (expressed as a complex PredicateNode involving
combinatory logic operators)

Let's say it then generalized from this a more abstract mathematical
notion of a circle.

Is this "symbolic"?  In what sense?  Patterns are being built up based
on raw perceptual inputs, much as they would be in a neural network.
It's using a logical formalism --- probabilistic combinatory term logic
-- instead of pseudo-neural operators... But so what?  

How is the link ExampleLink given above any more "symbolic" than a
neuron that fires based on the intensity of input to a given pixel?
Just because it records the time-stamp?  Of course the time-stamp isn't
needed, it's just convenient, cruder mechanisms could be used instead.

I find that the symbolic/subsymbolic distinction is often misused.  In a
complex cognitive system like Novamente (wants to be ;), there are both
symbolic and subsymbolic aspects, but it's hard to draw the line between
the two.  

Peirce, in his semiotics, drew a crisp distinction between icons,
indices and symbols, but he also understood cognitive uncertainty, and
he recognized that a given mental form could share aspects of all these
different levels of reference.  This is certainly true within Novamente.

-- Ben Goertzel




> -----Original Message-----
> From: [EMAIL PROTECTED] 
> [mailto:[EMAIL PROTECTED] On Behalf Of Yan King Yin
> Sent: Monday, April 05, 2004 8:42 PM
> To: [EMAIL PROTECTED]
> Subject: [agi] Connectionism Required for AGI?
> 
> 
> Hi...
> 
> I'm wondering how AGI designers view this issue. Usually
> we think connectionist systems have the advantages of:
> 1) generalization and
> 2) graded / smooth response
> among others.
> 
> I assume Novamente is using a symbolic representation,
> which may become a difficult problem to solve once the
> AGI is "locked" into a certain framework. Or are there
> some ways to get around those limitations in a symbolic
> / Bayesian setting?
> 
> Personally I'm more familiar with connectionism and I'm
> looking for an AGI group to join. But I'm also open to
> other AI paradigms.
> 
> YKY
> 
> 
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