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