Thus spake Victoria Hughes circa 09-07-09 11:21 AM:
>     What about properties that show up (a synonym for 'emerge') in one
> system but also show up in other systems. Many things reposition when in
> combination with other things/dynamics. Does this mean that all those
> repositionings are emergent? Or just a physical law that applies across
> a range of systems?

Heh, your language will easily draw us into into using "emergent" as if
it has meaning. ;-) I don't like the word "property" for this context.
So, I'll use "characteristic".

Characteristics exhibited by measuring a particular system with a
particular measure can show up when one applies the same measure to a
different system.  Hence, I'd say that two distinct systems that exhibit
the same characteristic under the same measure are members of a set
(class, family, range, group, whatever term you like) defined by that
measure.

Similarly, the two distinct systems can show _similar_ characteristics
when two distinct measures are applied.  In that ambiguous case, it's up
to the observer to tease out whether the characteristics are similar
because the systems are members of a well-defined set (i.e. a better
measure can be defined that makes the set coherent) _or_ whether the
characteristics are similar just because the measures are similar.

But more to your point, it's reasonable that one component of a system
is somehow canalizing under particular measures.  Hence, if that
component is present in several distinguishable systems, then applying
those measures to all those systems shows the characteristics associated
with that dominant component.  As long as that component _requires_ a
system in which to live (i.e. the measures can't be applied to the
component, only to the system containing the component, which is true in
all non-trivial situations), then the characteristics are still
"emergent", even though we reasonably and abstractly reduce the cause to
the component.

-- 
glen e. p. ropella, 971-222-9095, http://agent-based-modeling.com


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