Part 10: Seldon’s Axioms Series. Categorial-Combinatoric 'POSSIBILITIES-SPACE'.

 

 

 

Part 10: Seldon’s Axioms Series.

  

Categorial-Combinatoric

 

POSSIBILITIES-SPACE.

 

 

 

 

 

 

 

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, key elements of Seldonian Theory.

 

Elements of This 10th text in this new such series is posted both above and below [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 –

 

“What is it, the characterization of the _W Q_ ‘arithmetic for modeling dialectics’, that arises from the ‘qualitative superposition’, of all of the axioms, taken together, of the _W Q_ ‘ideo-ontological’ category, the category/- «arithmos» which has _W Q_ axioms-systems variants as its units or «monads»?”

 

“Well, note that there are no existential assertions among those 9 core axioms, other than the assertion of ‘ideo-ontological’ existence of the _W Q_ ‘meta-number’ space”.”  

“There is nothing in them that asserts that any of the category-symbols generated by the application of the generic _WQ ‘meta-numbers’ to model the ‘onto-dynamasis’ of a specific, more-concrete Domain must have referents that actualize, that actually exist within their ‘ideo-ontological’, or ‘physio-ontological’, or ‘ideo-physio-ontological’ Domain.”

 

“Given that, we see the best interpretation of the meaning of the _W Q_ axioms-systems category as constructing a space of ontological possibilities.”

 

“Indeed, from this perspective, the _WQ mathematical space, is, ‘‘‘analytic-geometrically’’’, a model of a dimensionally-expanding space of categorial-combinatoric possibilities.”

 

“When the generic _WQ ‘meta-numbers’ are applied to or interpreted for some specific Domain, a given combination of that Domain’s categorial qualities, or ‘qualifier epithet subscripts’, may be unviable, may fail to manifest, may never actualize, for that specific Domain.  However, for many other specific Domains, that same ordinal, w, q_w value may correspond to key manifest, actualized combinations of the categorial qualities for each of those other specific Domains.”   

 

“Each, consecutive, generic ordinal value of the Whole numbers set/space, W, may correspond to an actualized population of «monads», for many specific Domains, but to non-existence for many other such Domains.”

 

“It would be one kind of, “purely”-quantitative dynamics if the _WQ space was a space that grew in quantitative volume, but remained fixed in its dimensionality.”

 

“However, the actual _WQ space grows, not only in volume, but in dimensionality.  Each power, w, of its «arche'» generic ‘meta-number’, q₁, corresponds to a space with w dimensions, for w Î W.”

 

 

 

 

 

 

 

For more information regarding these Seldonian insights, please see --

 

www.dialectics.info

 

 

 

 

 

 

 

 

 

 

 

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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