Wednesday, August 20, 2014

Trans-Platonian, Seldonian '''Vertical''' and '''Horizontal''' Aufheben 'Meta-Unit-Ization' Dialectic Combined!








Dear Readers,



Two Encyclopedia Dialectica 'dialectograms' on modern, Seldonian-Marxian, TRANS-<<Arithmoi Eidetikoi>>, TRANS-Platonian dialectic, are being posted to the www.dialectics.org Glossary Page.


I have also posted these modules below, for your convenience.


An earlier entry to this blog may also prove clarifying, regarding the distinction between '''vertical''' versus '''horizontal''' <<aufheben>> 'meta-<<monad>>-ization dialectic', for readers --

http://feddialectics-miguel.blogspot.com/2013/12/the-dual-aufheben-meta-monadicity.html


Study them, grow your understanding of the deep history of human cognition, and enjoy the resulting enlightenment!



Regards,

Miguel












This first 'dialectogram' below depicts only the '''Vertical Dimension''' of ontological-categories-as-units, <<aufheben>>, 'meta-unit-ization' dialectic.

It amends the ancient "Tree of Porphyry", as well as bio-systematic "Trees of Life" since.

It bespeaks a revival of dialectical "universal taxonomy", not just of a dialectical biological taxonomy --


.


The second 'dialectogram' below depicts both the '''synchronic''', '''Vertical Dimension''' of ontological-categories-as-units, <<aufheben>>, 'meta-unit-ization' dialectic, and the '''diachronic''', '''Horizontal Dimension''' of ontological-categories' / ontological <<arithmoi>>s' <<monads>> <<aufheben>>, [self-]meta-<<monad>>-ization' dialectic, simultaneously --

.
 

Note that both accommodate more than two sub-categories per category at all categorial levels.

This is unlike the diagrams typical of the tradition of the "Tree of Porphyry".

'Porphyryan' trees are characteristically [and unnecessarily] confined to just two categories.

One is a usually named category x.

The other is its usually unnamed, "lumped-together", procrustean pseudo-category, the "Boolean negation" of category x.

That other category is,"namely", (1 - x).

The latter expression means "Universe minus x", or the "complement" of category x.

That other category consists of all individuals/units/<<monads>> other than those of category x.  

Category (1 - x) is typically not broken out into any of their "natural" sub-categories within that "lumped" -- and often vast and qualitatively variegated and disparate -- "complement".



Below:  a pictorial rendition of the circa 270 C.E. -- Differences-'dyadic', (1 - x) versus x -- "Tree of Porphyry", expressed narratively in Porphyry's <<Isagoge>> --


 












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