The Root Rhythm of the Dialectic

<<arche'>>-categories, contra-categories, uni-categories, & partials.

Dear Reader,

Below I have reproduced excerpts from F.E.D. Vignette #5, by Aoristos Dyosphainthos, Public Liaison Officer of the F.E.D. General Council, entitled "The Root Rhythm of the Dialectic", just posted to the www.dialectics.info website, with adaptation to the typography available in this blog. The full version can be accessed via the following URLs --

http://www.dialectics.info/dialectics/Welcome.html

http://www.dialectics.info/dialectics/Vignettes.html

http://www.dialectics.info/dialectics/Vignettes files/Aoristos_Dyosphainthos,F.E.D._Vignette_%235,%27The_Root_Rhythm%5Bos%5D_of_the_Dialectic%27,first_posted 17NOV2012.pdf

Enjoy!



Regards,


Miguel







F.E.D. Vignette #5 --

The Root Rhythm[os] of the Dialectic


by Aoristos Dyosphainthos




Author’s Preface. The purpose of Vignette #5 is to ‘nut-shell’, for the guests of this site, F.E.D.’s generic dialectical-process interpretation for the Seldon Function progressions based on its 1st Dialectical Arithmetic.



A Note about Notation.  The Encyclopedia Dialectica notation and notational conventions, employed throughout this vignette, are described in the five ‘*.jpg’ images, reachable via the following link --

http://www.dialectics.info/dialectics/Welcome.html

-- by clicking on the 09/30/2011 links marked “1st Module” and “2nd Module”, on the 10/01/2011 link marked “1st Module”, and on the 07/14/2012 links marked “1st Module” and “2nd Module”, in the 'Prefatories' Series section on that Home Page.




Definition of the Ancient Greek Term «Rhythmos»:  “ “rhuthmos” [or «rhythmos»; also [Ionian, e.g., Democritus] «rhusmos» = “shape” -- AO]: in philosophy, rhythm ... -- the name for the ordering of change is rhythm [Plato, Laws, 665a]. ” [J. O. Urmson, The Greek Philosophical Vocabulary, Gerald Duckworth-Anthony Rowe, Ltd. [London: 2001], p. 148, emphases added by AO].




The root, recurrent ‘rhythm[os]’ of dialectic-in-general -- of systematic dialectic and of historical dialectic alike -- is ‘meta-monadization’, followed by ‘ontological hybridization’, that is, the one main kind of universal «aufheben» operation followed by the other, an auto-«aufheben» operation in the case of the former, an allo-«aufheben» operation in the case of the latter, a «species» of dialectical process in both cases.


More specifically, that rhythm is ‘meta-monadization’ -- or 'ontological self-hybridization' ['auto-hybridization'] -- followed by ‘ontological other-hybridization’ or 'allo-hybridization' [‘uni-formation’, or ‘ontological [meta-]heterosis’], followed by[re]new[ed] ‘meta-monadization’, followed by [re]new[ed] ‘ontological hybridization’.


That rhythm, in still more detail, is ‘meta-monadization’, ‘meta-unitization’, or ‘meta-holonization’, followed by ‘ontological hybridization’, or ‘ontological meta-heterosis’, followed by further ‘meta-monadization’, followed by further ‘ontological hybridization’ or ‘ontological meta-heterosis’ -- in each recurrence, with the latest, “succeeding” ‘meta-monadization’ ‘‘‘hybridizing’’’ with each preceding ‘meta-monadization’ [if any], and also ‘‘‘hybridizing’’’ with each preceding ‘ontological hybridization’ [if any].




Defining the F.E.D. Terms ‘meta-monadization’, ‘meta-unitization’, ‘meta-holonization’:

The process and result of the constitution, in some degree of multiplicity, or of ‘populous-ness’, of the most-recently-arisen 'self-hybrid' “new, never before existent kind” of «monad», “unit”, “holon”*, or “individual”, by, and made up out of, some part of the most recent previously-arisen/-constructed 'self-hybrid' «monads», “units”, “holons”*, or “individuals”, thus also constituting a new, never-before-existent «arithmos», “[concrete] number”, or “population” of such new «monads», “units”, “holons”*, or “individuals”, perhaps with sub-populations localized in multitudinous different «loci» of physical space, forward from a certain physical time, each thus ‘instancing’ a new kind of being; [a] new ontology; a new category of universal ontology; a new “ontological category”.

*[We take the «monads», or “units” of each “ontological category” or kind [«genos»]; each quality of being; each «arithmos» or ‘‘‘number’’’ of individuals of the same kind, to be '''holons''' in ‘essence-ially’ the sense of Arthur Koestler].

[for further definitional information, see this site’s Glossary Page:

 http://www.dialectics.info/dialectics/Glossary.html ].




Definition of the F.E.D. Terms ‘ontological hybridization’, ‘uni-formation’, ‘ontological meta-heterosis’:

The process and the result of the combination of two or more heterogeneous, qualitatively-different ontological category kinds or «gene» -- of some parts of their «arithmoi» [e.g., of some parts of at least some of their local sub-populations grasped as their sub-«arithmoi»], and, sometimes, also, combination of some of their «monads», expressing “ontological hybrid vigor”, or ‘meta-heterosis’, by giving birth to an unprecedented new ontological category”, or kind/«genos», as a “complex unity”, or ‘uni-formation’, that is, as a ‘uni-«physis»’ or a ‘uni-thesis’ -- i.e., as a ‘‘‘dialectical synthesis’’’ , ‘‘‘partial’’’ or ‘‘‘full’’’ -- of those predecessor kinds thus combined, sometimes as a new «arithmos» made up out of hybrid ‘neo-«monads»’, each of which is a hybrid of «monads» from some-to-all of the contributing, combining «arithmoi».




Rendering The Root Rhythm of Dialectic using the Generic Language of the 1st Dialectical Arithmetic:

Using the generic dialectical-arithmetical shorthand of the F.E.D. 1st Dialectical Arithmetic/Algebra, the description of ‘The Root Rhythm of the Dialectic’, rendered narratively above, can be re-rendered ideographically, for the ‘Dyadic Seldon Function Meta-Models’ of dialectical processes/progressions in general, as follows --


|-|-|3+   =   [ q1 ]^(2^3+)   =   q1 + q1+1 = 2 + q2+1 = 3 + q2+2  = 4 + q4+1 = 5 + q4+2 = 6 + q4+3 = 7 + q4+4 = 8 + . . .


-- wherein the following generic dialectical interpretations/assignments [denoted below by '(---]' or '<---]'] pertain --

q1 (---] «arché»-thesis, or <---] «arché»-«physis»;

q2 (---] first contra-thesis, or <---] first meta-«physis»;

q3 (---] first [full] uni-thesis, or <---] first [full] uni-«physis»;

q4 (---] second contra-thesis, or <---] second meta-«physis»;

q5 (---] first partial uni-thesis, or <---] first partial uni-«physis»;

q6 (---] second partial uni-thesis, or <---] second partial uni-«physis»;

q7 (---] second full uni-thesis, or <---] second full uni-«physis»;

q8 (---] third contra-thesis, or <---] third meta-«physis»; . . ..




The F.E.D. 1st Dialectical Algebra’s ‘Dialectic of Nature Meta-Equation’ as a Specific Example.

>-|-<3+     =     <n>^(2^3+)     =     <qn>^(2^3+)    =    qn + qnn = s + qsn + qss = a + qan + qas + qasn + qaa = m + . . .


-- wherein the following specific dialectical interpretations/assignments [denoted below by '<--->'] pertain --


qn <---> «arché»-«physis», of the pre-nuclear “particles” [non-Hadronic bosons, leptons, and quarks];

qs <---> first meta-«physis», of ‘meta-pre-nuclear “particles” ’; sub-atomic “particles” [e.g., protons];

qsn <---> first [full] uni-«physis»; formations, interactions, & interaction products of the qs & the qn;

qa <---> second meta-«physis», of ‘meta-sub-atomic “particles” ’, i.e., of atoms;

qan <---> first partial uni-«physis»; formations/interactions/interaction products of the qa & the qn;

qas <---> second partial uni-«physis»; formations, interactions, & interaction products of the qa & the qs;

qasn <---> second full uni-«physis»; formations/interactions/interaction products of the qa & the qsn;

qm <---> third meta-«physis», of ‘meta-atoms’, i.e., of molecules; . . ..




-- and such that --