Although I agree that much of the "complexity" we see in social and
psychological systems (SoPS) is fundamentally related to the
formalization (or lack thereof) of the languages used to formulate the
questions and hypothetical models of the systems' mechanisms, I don't
think this is where the complexity really comes from.  I think the (lack
of) formalization we see in SoPS comes primarily from the
incommensurability between their mechanisms and the operators applied to
them.

Questions about physical systems are formulated at nearly the same level
and in nearly the same language as is used to formulate the purported
mechanisms for those systems.  The degree of formalization is high
because we've reduced the language of mechanisms and questions down to
continuous (or discretized continuous) spacetime, fields, particles and
their properties, etc.

In contrast, in SoPS, it is too difficult to use that same language to
express the questions and system mechanisms.  The logical depth is too
great to formulate, say, "anger" in terms of, say, quarks.  So, we hunt
around for languages with which to express SoPS, born of partially-baked
"ontologies" from Freud, Jung, Hobbes, Locke, Keynes, Maslow, etc.

But the apparent complexity is not just (or at all, in my opinion) a
consequence of the not-fully-formal languages.  It's a consequence of
using different languages for the questions/measures from that used for
the mechanisms.  The degree of mismatch between the language in which
the operator is formulated and the language in which the hypothetical
mechanisms are formulated is what leads to the apparent complexity.

I say _apparent_ because it's easy to confuse complication with
complexity.  Complexity, in my view, requires intra-system operators
formulated with intra-system languages that are incommensurate with the
language of the most fundamental mechanisms, where the result of
applying these operators is part of the mechanism.  So, complexity is
the result of intra-system operators formulated in a language that
doesn't match the language expressing the mechanism, producing a part of
the mechanism, i.e. a causative cycle with lexical mismatch between some
parts of the cycle.*+

So, even once we get all SoPS languages formalized (to the extent we
have non-well-founded set theory formalized), as long as we don't reduce
it all to a kind of "bottom turtle" language (which may not even be
possible), they'll exhibit complexity.

I.e. multiple models are required for complex systems because "complex"
means "formulated in multiple models". [grin]  Ha!  Justificationists Unite!

[*] Note that this is subtly different from Russell Standish's
definition of "emergence", which doesn't seem to require the
circularity.  However, I'm not quite a Rosenite in that I believe
circularity (causal closure) is necessary but not sufficient.  The
lexical mismatch is also necessary.

[+] Also note that the concept of "level" doesn't apply, here, either,
as in Russ Abbott's "solution" to the problem of "emergence", because it
involves an impredicative definition where the macro generates the micro
and the micro generates the macro. ... or, similarly, interfaces
implement implementations implement interfaces... ;-)

Thus spake Jochen Fromm circa 09-09-20 04:03 AM:
> In Physics, energy, mass, force and momentum are abstract
> terms, too, but they have a concrete mathematical meaning.
> We model physical processes as interactions among
> variables. Unless we don't use mathematical equations
> like F=ma, the terms remain unreal, abstract and vague.
> 
> In Sociology and Psychology it is much harder to
> describe the systems with mathematical equations.
> Instead of using equations, it is more useful to explain
> the systems by ABM, as Macy and Willer describe
> in their article "FROM FACTORS TO ACTORS:
> Computational Sociology and Agent-Based Modeling".
> 
> It would be interesting to try a shift from factors to actors
> in Psychology as well.

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


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