Part 02: Seldon on ‘Dialectical Categorial Progressions’ Series. Categories and their Sub-Categories in NQ Dialectical Categorial Progressions and Beyond.

 

 

 

 

 

Part 02: Seldon on

 

 

‘Dialectical Categorial Progressions’ Series.

 

 

 Categories

 

and

 

their Sub-Categories

 

in _NQ

 

Dialectical

 

Categorial

 

Progressions

 

and

 

Beyond.

 

 

 

 

 

 

 

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, Seldon’s commentaries on key Encyclopedia Dialectica concepts of Seldonian Theory.

 

 

This 2nd text in this new such series is posted herewith, together with supporting text-images and diagrams [Some E.D. standard edits have been applied, in the version presented below, by the editors of the F.E.D. Special Council for the Encyclopedia, to the direct transcript of our co-founder’s discourse].

 

 

 

 

 

 

 

 

 

 

 

Seldon –

 

“Consider the generic stage 8 ‘categorial combinatoric’ [proxy for the generic, undergirding ‘monadic-combinatoric’] dialectical categorial progression, in the _NQ algebra, 

using the simplest, the ‘Qualo-Peanic’, Dialectical Method:

 

a [+] b [+] q_ba [+] g [+] q_ga [+] q_gb [+] q_gba [+] d.

 

It sometime fits to interpret the “merely-hybrid” category q_ba as a [relative species] sub-category of [relative «genos»] ‘self-hybrid’ category b º q_b.”

 

 

 

“Likewise, it sometimes fits to interpret “merely-hybrid” categories –

q_ga & q_gb & q_gba  

– as more-determinate, more ‘thought-concrete [relative species] sub-categories of more abstract, less-determinations-rich, more general [relative «genos»] ‘self-hybrid’ category g º q_g.”

 

 

 

“Even in cases of historical-dialectics – not merely in cases of systematic-dialectics – categorial progressions, e.g., q_ga [+] q_gb [+] q_gba, may not work as a chronologically-ordered, ‘chronologically ordinal’ sub-progression. They may, instead, fit as an all-together-at-once, simultaneous, synchronic/-systematic/-taxonomic triad of dialectical sub-categories.”*

 

“In some cases, there may be additional sub-categories, beyond, e.g., the three in standard ordinal positions fifth, sixth and seventh, and also for some, or even all, of the other ordinal positions in this generic progression – even for the eighth position, and beyond.”

 

“In such cases, including all of those, implicit, sub-categories explicitly in your ontological-categorial, categorial-progression, dialectical ‘meta-model’ may require recourse to even the 56^th,

q__GBA, 

arithmetic/algebra for modeling dialectics, in the,

_NQ-expressed, dialectical ‘ideo-ontological’ categorial 

progression/-axioms-systems progression, long-form ‘meta-model’ of the Encyclopedia Dialectica arithmetics/algebras for modeling dialectics.”

 

“*[A case in point is the simplified, e.g., circulation value-forms-only, systematic-dialectical categorial progression model of the ‘content-structure’ of volumes I and II of Marx’s «Das Kapital».” 

 

“With categorogram K or q_K representing the category 

of circulation value-form ‘“Capital in General”’, the excerpt –

 

K Å q_KC Å q_KM Å q_KMC 

 

– may be fittingly interpreted as representing the «genos»-category of ‘“Capital in General”’, followed by its three, circulation value-form species sub-categories –

 

‘“Commodity-Kapitals”’, plus

‘“Money-Kapitals”’, plus

‘“Circulations of the Total Social Kapital”’.” 

 

 

“This sub-progression arises in the context of the simplified, seven-category dialectical categorial progression model of the volumes I and II «Das Kapital» tables of contents –

 

C Å M Å q_MC Å K Å q_KC Å q_KM Å q_KMC

 

– wherein the ‘merely-hybrid categorogram’

q_MC 

stands for the ‘“Monies-mediated circulations of Commodities”’ category.”

 

 

 

 

 

 

 

For more information regarding these Seldonian insights, and to read and/or download, free of charge, PDFs and/or JPGs of Foundation books, other texts, and images, please see:

 

www.dialectics.info

 

 

and

 

 

https://independent.academia.edu/KarlSeldon

 

 

 

 

 

 

 

 

 

 

 

 

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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