Part 02: Seldon on Dialectical Method
Series.
ONTIC CATEGORIES
AND THEIR
UNITS:
ONTOLOGICAL «ARTHMOI» THEIR «MONADS».
Dear Reader,
It
is my pleasure,
and my honor, as an elected member
of the Foundation Encyclopedia
Dialectica [F.E.D.] General Council, and as a voting member of F.E.D., to share, with you, from time to time, as they are approved for public release by the F.E.D. General Council, Encyclopedia
Dialectica insights into key concepts of Seldonian Theory.
The
text posted below explores «aufheben», dialectical ‘meta-unit-ization’
processes and relations in the cognitive formation of ontological categories.
Seldon
–
“‘Kind-Categories’ – Ontological Categories – are useful to summarize
and to represent, univocally, and to serve to proxy and reference, the
typically massive multiplicity of the units, elements, or “individuals” for
which such categories stand, because human cognition cannot follow all of the
typical myriads of units of even a single such category individually.”
“However,
it is also true that such an ontic category/«arithmos» – such a mental
assemblage of units of like kind – can itself be grasped as a kind of unit in
its own right. Indeed, such a category
unit is an «aufheben» ‘meta-unit’ of/to the units that it ‘‘‘contains’’’
and represents. The mental formation of
such a category/unit is a cognitive process of dialectical, «aufheben» ‘meta-unit-ization’
of those, its to-be-‘‘‘internalized’’’ units, which are, thereby, ‘«aufheben»-ed’/abstracted
up into their ‘kind-category’ – the category of/for their [ontological] “kind”
– by this cognitive act of ‘de-positioning’/‘‘‘negating’’’ those units as at
their own level, and their elevation/conservation into ‘implicitude’, up into
the ‘‘‘inside’’’ of their ‘kind-category’ as their ‘meta1-unit’, standing, univocally, for a quality that they
all share in common. Those [meta0-]units are “internal” to/implicit in that, their category
‘meta1-unit’, just
as a mathematical “set” ‘[meta-]uni[t-i]fies’ its “elements”. Note that such “sets” can also have other
sets as among their elements, not just consisting of “Ur-set”, non-set
“Ur-elements”.”
“For
[a special] example, an individual unit of ‘‘‘dialectic’’’ is also a [sub-]unit
‘‘‘inside’’’ the ‘ideo-ontological’ category ‘meta-unit’ named ‘‘‘dialectics’’’,
and the «aufheben» mental movement from that instance-unit to its
categorial, relative ‘meta1-unit’ is itself a unit of ‘‘‘dialectics’’’.”
“Similarly,
e.g., a species ontological category can be «aufheben»-‘‘‘contained’’’,
implicitly, in its «genos» super-category, together with the
other species categories of that «genos»
category.”
“The
mental movement “up” from the species category units, all of a
given ‘«gene»-ral’ kind, “up” into their ‘implicitude’ ‘‘‘inside’’’
their [relative] «genos» super-category [relative] ‘meta1-unit’ is another cognitive process of dialectical, «aufheben»
‘meta-unit-ization’ of those relative species-categories
as relative meta0-units,
a cognitive process which negates attention to their species-level/scale
positioning, raising attention “up” to their larger, more abstract, more
general «genos» category-level, in this -- systematics, taxonomic,
‘qualo-fractal’ -- ‘content-structure’. This
cognitive process is a mental “elevation” of those species-categories
as [relative] meta0-units, “up” into the ‘‘‘in-side’’’ of
their single «genos» category ‘meta1-unit’, and “conserving” them therein.”
“The
historical and physical meaning of dialectical, «aufheben»
‘meta-unit-ization’ is that of a ‘becoming units’ of sub-«arithmoi»
of their ‘self-hybridizing’ «arithmos», e.g., one of a molecular cloud’s
myriad groups of the mere atoms «arithmos» becoming a
single molecule [meta-]unit.”
For more
information regarding these
Seldonian insights, please see --
For partially pictographical, ‘poster-ized’ visualizations of many of these Seldonian insights -- specimens of ‘dialectical art’ – as well as dialectically-illustrated books
published by
the F.E.D. Press, see –
https://www.etsy.com/shop/DialecticsMATH
¡ENJOY!
Regards,
Miguel
Detonacciones,
Voting Member, Foundation Encyclopedia Dialectica [F.E.D.];
Elected Member, F.E.D. General Council;
Participant, F.E.D. Special Council for Public Liaison;
Officer, F.E.D. Office of Public Liaison.
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