Re: Hierarchies and the infinite monkeys

Paul L. Moses (theseus@DGS.DGSYS.COM)
Mon, 13 May 1996 15:43:06 -0400


At 8:52 -0500 5/12/96, John Earls and an infinite number of monkeys typed:

+
+>Well, the Midway example does give us a situation where the cooperating
+>ships all have a common background. They all came from the same training,
+>they use compatible equipment, they speak the same language, they share the
+>same basic interest (defeat the Japanese) and so on. It seems like
+>heterarchy almost requires one dimension to be identical for all members -
+>though there can be many other dimensions that vary.
+
+Probably there are many common dimensions as between the modular units
+operating at any level of a control hierarchy...

+ The number of common dimensions
+between units is surely correlated with the strength of their coupling. In
+the case of enzymes hauling proteins around and coupling them up in
+different combinations the dimensions could be enumerated from their
+geometries, but the folding processes involved in enzyme formation have to
+bescribed topologically. I think dimensionality --> coupling strength -->
+degree of cohesion within and between the levels...

Duhhhh! Of course you are correct...even my example illustrates your
point. I oversimplified.
However, I could argue that perhaps those multiple dimensions of similarity
constitute an emergent level, or microsystem in the system, which is
heterarchic. Does there need to be a boundary around the components before
they can act heterarchically?

+ which is why Herbert Simon
+calls them "semi decomposable"; following on from the vertical
+semi-decomposability that operates between the levels themselves he talks of
+the loose horizontal coupling of the units (horizontal semi-decomposability)
+within the levels giving a necessary autonomy to these units, -- in our
+terms, to behave heterarchically.

So semi-decomposability is a characteristic of heterarchies, that some
bonds are renegotiable? Have we just shifted the bump in the rug or am I
missing something...if it is that some bonds are renegotiable, how are
these chosen, and don't we have other bonds that remain unchallengeable by
necessity?

+ I think it is
+important that at the highest (closure) level in native Andean cosmology the
+levels are *described* (i.e. in the semantics of Quechua language) as where
+their "outside" extremities become concentrated at the centre of the
+"inside" from which they disperse again but *on the other side*

Aaaahhhhhgggg!

+-- implying
+a non-orientable topology as in Mobeus strips, Klein Bottles, etc....
+ The symbolic hierarchy, with its topological closure,
+is replicated recursivley at each successively lower level, though the
+socio-political coupling at the higher levels is virtually non-existant

To what end? It cannot be a perfect replication, because as you mention
below, "decapitation" of a hierarchical system is a trauma that may cripple
the system permanently or kill it. If there was full replication at all
levels, re-emergence would be inevitable even if slow. For some reason,
the information at different levels MUST differ after a system reaches a
certain point of complexity. (Eg, Hydras can regenerate lost limbs but
mammals cannot.)

+
+>So heterarchy can also "fill in the gaps" in a hierarchy...a class of
+>"things" sharing the same label under a certain regime may (essentially)
+>self-organize based on relative advantages, and perhaps over time this
+>differentiation may become formalized on the meta- level.
+
+At these higher levels only relatively transient heterarchical coupling
+occurs "filling in the gaps". At lower levels (community, "ethnic groups"
+the hierarchical social structures are generally preserved, though the
+continual high variety generated through their heterarchical coupling to the
+current world system gives rise to plentiful heterarchical interaction
+within the modules comprising the different levels. This is a "language" or
+coding type problem, as you say with the ships, and must be embedded in the
+heterarchical structure -- ecologists now are finding the strangest and
+cutist things in bacterial organisations, much more communication than was
+ever thought. In the sense that the constraints induced in lower level units
+by the higher ones they are unquestionable and unfalsifiable they could also
+said to be "sanctified".=20
+
+>Sure, differentiation is not inevitable, or it may progress only slightly
+>and not be "worth" formalizing, or it may be fluid with much too much
+>shifting to draw any conclusions about a better way to organize aside from
+>leaving it alone.
+
+This is the case. It is perhaps best understood by Stafford Beer's notion
+"manipulation of recursivity". There are those bacteria which in certain
+cases act as individual undifferentiated creatures (with limited
+heterarchical interactions), when conditions change coalesce into complex
+multicellular organisms hierarchically organised and with phenotipical
+specialisation and all the rest, are a good case. Somehow the individuals
+maintain the "know how" to recreate the hierarchy system. We humans are
+biologically "all the same", but we can't exist as humans unless we coalesce
+in socio-cultutal systems. Within these systems we differentiate and
+hierarchies tend to emerge. When relatively stable hierarchies consolidate
+the levels tend to get glued in terms of the sanctity attributed to the
+superior levels. But when a system is decapitated, like the Inka, the know
+how required to recreate it is maintained through these heterarchical
+communications. But in the process it seems that some of the previously
+unquestionable propositions do get talked about and modified -- just "how
+come the system failed?" gets talked about. So when the system recoalesces
+it will never be the same as before. It will take into account the
+"decapitators" and may even coalesce with them in time -- but this seems to
+be a long way off in Peru yet.

It makes sense that "error correcting" would be a fundamental capability of
self-organizing systems, but I think that is separate from the inherent
self-organizing capacity. When a serious enough trauma occurs, the
self-organization process itself becomes significantly hindered, and so
error correcting may be attempted but not fully succeed (in rebuilding a
functional and robust system). Error correction under these conditions is
probably a failure, because its function is to build more variety into the
system, and instead, you wind up with a system that has become much MORE
path dependant. Even if the new channels successfully address the earlier
problem, the fundamentals of the system are substantially weaker and less
robust than before the crisis.
+
++>How are general hierarchies *more* interesting? Because roles get=
+ confused
++>and intermediaries come into the picture? Does the sanctification process
++>move the system away from a mostly functional structure, and if so, to=
+ what
++>end? Is this the way that more "words" are written into the system's
++>"vocabulary"?
+
+Thinking of all this now I'm not so sure that the general hierarchies are
+more interesting, it is the emergent process that is always continually at
+work. One peculiar thing is that here in the Andes the community hierarchies
+restructure themselves in quite different forms at certain times thoughout
+the year. Parts of the modules at any one level break apart and coalesce
+with others to form quite different modules often at different levels, but
+the new arrangements are always duely sanctified. Boss type relations exist
+but the bosses are rotated throughout the system so that everyone passes a
+term as boss at one level after another and no one group can consolidate
+their boss function as permanent. I think this works to talk through
+"heresies" thououghly.
+
++ In the Battle of Midway probably at most the Captain and crew
++of the current boss ship may have said a brief prayer or saluted the flag,
++who knows? But what ever they did wouldn't have been known to the rest of
++the fleet.
+
+
+>Are you sure? Wouldn't it be more a case of the lead ship having the
+>command code label, ie Ship X is now called "Blue Leader" or something like
+>that - a common referent for the rest of the ships? Wouldn't that be
+>essential to coordinating action, especially if the leadership role was
+>shifting quickly because of the demands of the situation? In other words,
+>isn't the very *process* of transferring leadership the sanctification
+>itself?
+
+You are right here. If we treat the boss structure as a rotating heterarchy
+then it is most definately sanctified.
+
+>Which presumably is a sort of holistic good, accomplished by many
+>differentiated paths for attempts to reduce uncertaintly and a tolerance
+>for some degree of ambiguity. The "heresy" strategy is short-term
+>thinking, and may not be advantageous in the long run because it is
+>eliminating a source of feedback. On the other hand, the heresy strategy
+>MAY be adaptive to avoid *overdifferentiation*, ie a certain phenomenon
+>occurs so rarely or at such a low level that it is not cost-effective to
+>implement a way to resolve it. Only when it crosses a threshold does it
+>become worthwhile to readjust.
+
+>But then this starts raising heterarchy again. I guess a good example of
+>both would be "black markets" - officially condemned, structurally informal
+>and fluid. And here's another: the "numbers game" was illegal gambling
+>fifty years ago, and now all US states have "lotteries".
+
+>Or, the uncertainty rises to the level where the heresy strategy discredits
+>the system rather than the uncooperative elements. Which makes sense
+>because each now are significant threats to survival, and the FAILURE of
+>the heresy strategy (to reduce uncertainty) is EVIDENCE that it is the
+>system that is a bigger threat to survival.
+
++The levels get jumbled so
++that logical hierarchy of the distinctions between "superiors" and
++"colleagues" get lost, and these get replaced by boss type relations which
++attempt to substitute for those distinctions, and that is where coercion
++takes hold and cohesion lost.
+
++This process has about reached its limit today
++and that is why we are looking to a new and adaptive emergent metasystem.
+
+>Are you talking about social unrest, or the field of cybernetics here? Or
+>something else?
+
+I suppose that the line between social unrest, politics and cybernetics is
+pretty thin today, as Beer bitterly reflects about his experience in the
+"cybernetisation" of Chile during Allende's presidency. But at least
+cybernetics is an excellent metalanguage in which we can talk about and
+evaluate these factors, and try to do something about it all. I guess that
+is what PCP is all about.
+
+John
+
+
+
+John Earls
+jearls@pucp.edu.pe
+Pontificia Universidad Cat=F3lica del Per=FA

Paul

---------------------------------

"Information is entropy."
- Jean Baudrillard