>From whence do you get the idea that there is no
relationship between the low-level mechanisms and the
overall behavior? Even if the relationship is
horrendously confusing, it must exist if the entire
thing is to be described as a "system"; if there is no
relationship between the mechanisms and the overall
behavior, then the mechanisms could be destroyed by
H-Bomb and the behavior would continue unchanged, in
which case the mechanisms aren't really mechanisms. As
for the existence of a mathematically analyzable
relationship, I presume that we're talking about
systems implemented in atoms, and the physicists have
already proven that all known relations between atoms
are mathematically analyzable.

 - Tom

--- Richard Loosemore <[EMAIL PROTECTED]> wrote:

> Matt Mahoney wrote:
> 
> > Richard,
> > 
> > I looked at your 2006 AGIRI talk, the one I
> believe you referenced in our
> > previous discussion on the definition of
> intelligence,
> >
>
http://www.agiri.org/forum/index.php?act=ST&f=21&t=137
> > 
> > You use the description "complex adaptive system",
> which I agree is a
> > reasonable definition of intelligence.  You also
> assert that mathematics is
> > useless for the analysis of complex systems. 
> Again I agree.  But I don't
> > understand your criticism of Shane's work.  After
> all, he is the one who
> > proved the correctness of your assertion.
> 
> The abstract on the AGIRI website is a poor shadow
> of the paper that 
> will be published in the proceedings:  I will send a
> copy of that paper 
> to you offlist.
> 
> The term "complex adaptive system" has very specific
> connotations that I 
> think you have missed here:  I was not using it as
> definition of 
> intelligence.  It refers to a general type of system
> that has a very 
> particular kind of relation between the low-level
> mechanisms that drive 
> the system and the overall behavior of the system. 
> In a CAS (or, if you 
> prefer, in a "complex system") there is no analytic
> relationship between 
> the low level mechanisms and the overall behavior. 
> Basically, you 
> cannot solve the equations and derive the global
> behavior.  This is the 
> sense in which "mathematics is useless for the
> analysis of complex systems".
> 
> In essence, I assert that "intelligence" is
> something that we can 
> observe in certain systems (namely, in us), but that
> it is a high-level 
> characteristic of what is actually a complex system,
> and so it cannot be 
> defined precisely, only observed.  You can give
> "descriptive" 
> definitions, but not closed-form definitions that
> can be used (for 
> example) as the basis for a mathematical proof of
> the properties of 
> intelligent systems in general.
> 
> The full argument is much more detailed, of course,
> but that is the core 
> of it.
> 
> Oh, and:  Shane is *not* the one who proved the
> correctness of my 
> assertion!  I am not sure where you got that from. 
> ;-)
> 
> 
> Richard Loosemore.
> 
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