Thursday, July 18, 2013

Part II. C. The Psychohistorical-Dialectical Equation of Human-Social Formation(s) 'Meta-Evolution', to Epoch t = 2. Villages.



Full Title:  

The Psychohistorical-Dialectical Equation of Human-Social Formations Meta-Evolution’.

Part II. C.  Epoch t = 2:   Villages” ‘Socio-OntologyEmergent.



In his book, Non-Zero, Robert Wright describes the ‘multi-campvillage stage of human social formation, and the inner ferment of its self-induced transition to beyond itself, as follows:

Consider the chiefdom threshold.  It is one thing for neighboring villages to become trading partners or even to attain a measure of “supravillage” political organization via loose confederation.  It is another thing for neighboring villages to grant real, ongoing power to a central authority -- for one village’s chief to become the paramount chief.  When this happens, a chiefdom has been formed.

[Robert Wright, Non-ZeroThe Logic of Human Destiny, Pantheon Books [NY:  2000], p. 59, emphases by M.D.; see also http://nonzero.org/toc.htm ].


In terms of historical ‘‘‘Real time’’’, the Whole-Number model-epoch from t = 2 to t = 3, during which the highest forms of human social formation all extant together are believed to have been the foraging, ~ single-family bands, the ‘multi-band camps, and the ‘multi-campvillages, lasted from circa 12,500 B.C.E., to the emergence of the first ‘multi-villagechiefdoms[e.g., Ubaidian], circa 5,500 B.C.E. -- a duration of ~ 7,500 Earth-years.





Suppose, as the next, consecutive, irruptive emergence in this Qualo-Peanic self-«aufheben»  succession /  consecuum-cumulum of human-social emergences, that the ‘‘‘population’’’ of the “campunits of the “camps” «arithmos» — the ‘‘‘population’’’ of which each individualcamp” is a «monad» / unit — reproduces itself with expansion, grows in certain localities of the planetary ‘[now also noo-]bio-sphere’, an expression of ‘human-societal self-productivity growth’, or of ‘human-sociomass self-productivity growth’. 

Then, as the monadic population’ of the camps-as-«monads» ‘densifies’ itself in those localities, a condition of ‘‘‘critically’’’ high camps ‘‘‘density’’’ may arise, which we term the self-surroundment of the “camp” «monads», the self-environment / self-envelopement of the camps, or the surroundment- / environment-by-likes, created, for the “camps” «arithmos», by  the “camps” «arithmos». 

This condition would arise, first and especially, within a central, ‘centerward’, or ‘coreward’, sub-population of camp «monads», within each of the key / core such localities, or ‘meta-meristemal’ / ‘‘‘vanguard’’’ social-relations-innovation ‘‘‘nucleation zones’’’. 

This means that there has arisen a condition of camps densely surrounded by [other] camps at the heart of each such locality.

This condition would have thereby supplanted, in intensity / ‘intensivity’, within these key / core loci, the ‘precedingly-dominant’ condition of the hetero-surroundment of the camp «monads» by their immediate-predecessor, ‘inverse-consecutive’ «monads», those of the «arithmos» of “bands”.

A new innovation in the human-social settlement / governance patterns’ taxonomy of ‘socio-ontology’ is thereby seeded.

The former condition was dominated by, and characterized by, ‘merely-hetero-hybridizing’ reactions / inter-actions, by ‘ontological conversion hetero-actions / inter-actions’, of camp «monads» with immediate predecessor, band «monads».

The new condition — in the campmonads»-dense ‘ontological innovation nucleation zones’ — is dominated by, and characterized by, self-hybridizing’ interactions, self-interactions’, or ‘intra-actions’, of camp «monads» with[in] / upon [other] camp «monads», with such self-actions’ or self-operations’ becoming more and more frequent / becoming increasingly self-frequentized’, as the ‘‘‘population density’’’ of camp «monads» grows therein.

The formerly-dominant modes of monadic interaction — of ‘ontological other-conversion’, or of ‘ontological hetero-conversion’ — had partially converted the still-extant band ‘socio-ontology’ / ‘human socio-onto-mass’ into camp ‘socio-ontology’ / ‘human socio-onto-mass’.

This process of ‘ontological hetero-conversion’ of [part of] the remaining «monads» of the precedingly-self-manifested «arithmoi» — of the “bands” «arithmos» — is ‘auto-catalyzed’ by, and ‘[ac]celerates’ it self, in proportion to the presence of, and to the density of / ‘physical-spatial concentration’ of, the therefore ‘‘‘[self-]expanding’’’ “camps” «arithmos».

But as the — therefore growing — ‘physical-spatial concentration’ of the «monads» of the “camps” «arithmos», in the key / core ‘‘‘nucleation zones’’’, crosses a “critical [onto-]mass” / ‘‘‘critical density’’’ / ‘‘‘critical concentration’’’ threshold, the process of ‘ontological hetero-conversion’, of past monadic sub-populations to growing “campsmonadic populations, shifts.

It shifts [in]to a new and previously unprecedented process.

This new process is that of the nascent ‘ontological self-conversion’ of [part of] the burgeoning “camps” «arithmos» ‘human socio-ontology’, by that burgeoning “camps” «arithmos» ‘human socio-ontology’, into something else:  its ‘self-conversion’ into the ‘human socio-ontology’ of a new, ‘self-involutively higher’, previously unexampled ‘‘‘[onto-]logical type’’’, a new increment of ‘human socio-ontological’ self-innovation in the history of human-social formation(s).

That is, the ‘self-frequentization’ of this new mode of action — of ‘‘‘self-inter-action’’’, or ‘‘‘intra-action’’’ — of camps with camps, then precipitates, as it exceeds its critical frequency / density threshold, the irruption of yet a new, previously non-extant, previously non-existent ‘meta-fractal’ scale / level / layer of human settlement / governance patterns and practices, namely, that of the — multi-campvillage human-social formation(s).

A village, grasped as a human-social formation unit / «monad», is a ‘meta1monad»’, ‘meta1monad»’, or ‘super1-unit relative to a camp, grasped also as such a human-social formation unit / «monad», and is also a ‘meta2monad»’ relative to a band, grasped also as such a human-social formation unit / «monad»:  villages  =  ‘meta2-bands’  =  ‘meta1-meta1-bands’  =  ‘meta1-camps’.

Each typical village unit / «monad» is a meta1-campunit / «monad», made up from out of a [local-][sub-]«arithmos» of campsunits / «monads», i.e., made up out of a heterogeneous multiplicity of campsunits / «monads», as one result of a self-«aufheben» self-internalization of that local, predecessor sub-«arithmos» of camps units / «monads», as the immediate predecessor 'self-hybrid' units / «monads» to their successor self-hybrid, village, units / «monads».

This self-«aufheben» self-operation — of a sub-«arithmos» of camp «monads», as collective human-social ‘‘‘subject’’’ / agent of [self-]action, acting upon / within,  operating upon / within, itself, via its camp «monads» operating among themselves — gives rise to an ontologically, qualitatively, behaviorally new and different, previously unprecedented «arithmos», one that has villages as its «monads»:   the «arithmos» with multi-campsas its «monads», i.e., of the — initially ‘many-camp — “villages” «arithmos». 

The subject / object identical of < bands+camps > squared --

< bands+camps >2

-- or --
< bands+camps > x < bands+camps >

-- or --

< bands+camps >< < bands+camps > >

-- or --

< bands+camps > of < bands+camps > produces something ‘socio-ontologically’ new.

This self-reflexive functioning of < bands+camps > acting upon < bands+camps > still possibly reproduces the < bands+camps > ‘cumulum’, but also possibly produces something new and unprecedented, including the “villages” «arithmos»; the “villages” «arithmos»-of-village-«monads».


Formulaic Summary for VillagesEmergent.  ‘Ideographized’ / ‘ideogramized’, “shorthand” version of the narrative rendered above.

‘Ideographized’ / ‘ideogramized’ “shorthand” translation of the narrative above [in the following formula, v denotes the ontological category of the “villages” «arithmos»]:

epoch t = 2:  m>-|-<2    =   < b >22 =  < b >4  =  < b + c >2, so --  

epoch t = 2:  b + c    < b + c >< < b + c > >  =   

< b + c >2  =   

< b + c > + Δ< b + c >  =   

b + c + qcb + v,

as t = 1 t = 2.




We can summarize the progress of human-social formation to this point in our 'meta-model narrative' as follows, in terms of the epochs of 'self-hybridization' of social formation units.  

The next image depicts this meta-model’s 1st 2 stages of dialectical, «aufheben» self-meta-monad-ization --







[Note:  This t = 2 epoch marks the first appearance, in our progression, so far, of a ‘‘‘hybrid’’’ «arithmos» in its own right, possibly interpretable as an ‘ontological conversion formation’, and as a ‘‘‘real subsumption’’’ of «arithmos» b, by «arithmos» c.  It is denoted, above, by qcb.

Its appearance may, at first, come as a shock to some readers, who may be expecting only the “pure types”, e.g., b, c, v, f, s, e, n, ... . 


However, such ‘‘‘hybrids’’’ turn out to be, in general, one of the richest heuristic resources of the NQ_ algorithmic heuristic algebra.

Such ‘‘‘hybrid’’’ -- or ‘‘‘cross-product’’’ -- terms denote partial or total dialectical synthesis formations, which in many cases may be interpretable as process-formations converting some of the «monads» of earlier-emerged ontological categories / «arithmoi» into «monads» of the most recently-emerged ontological categories / «arithmoi».

It is, more often than not, in the application of the organonic algebraic method to the solution of these -- ‘‘‘hybrid’’’ -- terms, that the most startling and valuable new insights, and new discoveries -- both ‘pre-constructive’ and “re-constructive” -- often emerge.]



Note:  It should also be kept in mind, however, that not every ‘‘‘hybrid’’’ term may be interpretable -- or solvable -- for a given ‘dialectical meta-model meta-equation’.  Some of these terms may be,  à la some of the “generalized coordinates” of the Lagrange Equations, “inoperative” in the special case of a specific dialectic, even though they are valid constituents of the generic Seldon Function expansion for dialectic-in-general.

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