Tuesday, July 08, 2025

'Full Zeros' and 'IDEO-Singularities'.

 














 Full Zeros


and


IDEO-Singularities.








Dear Reader,

 



The text-image posted below outlines the extension, by analogy, of the ‘Full Zero’ concept, and its ‘Meta-Number’ value, that pertains to dynamical differential equation models of physical systems, when they exhibit division-by-zero singularities, associated with physio-onto-dynamasis’, to conceptual systems of arithmetic, where they exhibit ideo-onto-dynamases, using an analogous value.

 




 

 

 

 

 

 

 

 

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

 

 

 

 

 

 

 

 

 

 

 

For partially pictographical, ‘poster-ized’ visualizations of many of these Seldonian insightsspecimens of dialectical artas 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.

 

 

 

 

 

 

YOU are invited to post your comments on this blog-entry below!

 

 

 

 

 

 

 

 

 

 


Saturday, July 05, 2025

Symbolic ‘Presencings’ of Absences.

 

 


 

 

 

 

 

 


Symbolic Presencings

 

of Absences.

 

 

 

 

 

 

 

 

 

 

 

Dear Reader,

  

 

Below are examples of what we call ‘symbolic presencings of absences.

 

 

 

 

 

 

 


 

 

 

 

 

 

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

 

 

 

 

 

 

 

 

 

 

 

 

For partially pictographical, ‘poster-ized’ visualizations of many of these Seldonian insightsspecimens of dialectical artas 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.

 

 

 

 

 

 

YOU are invited to post your comments on this blog-entry below!

 

 

 

 

 

 

 

 

 

 

Friday, July 04, 2025

Part 02: Dialectics and Self-Reflexive Functions Series. ‘Self-«Aufheben» Negation’ -- ‘‘‘Conservation’’’ Moment.

 




                              











Part 02:

 

Dialectics and Self-Reflexive Functions Series.

 

 

Self-«Aufheben» Negation’ --

 

‘‘‘Conservation’’’ Moment.

 

 

 

 

 

 

 

 

 

Dear Reader,

 

 

 

 

The «aufheben» function is the dialectical ‘‘‘self-reflexive function’’’ par excellence.

 

«Aufheben» ‘‘‘negation’’’ – i.e., dialectical, determinate ‘‘‘negation’’’ – is conservative ‘‘‘negation’’’.

 

An ontological «arithmos»/category of «monads» that «aufheben» self-‘‘‘negates’’’ is, in fact, doubly self-conserved.

 

Part of its pre-self-‘‘‘negation’’’ self, i.e., one portion of its «monads», is ‘‘‘evolutely’’’ conserved – is continued in its existence – outside of the new «arithmos» of «monads» that that self’s self-«aufheben» creates.

 

The other part of its pre-self-‘‘‘negation’’’ self – some of the former «monads» of that ‘self-«aufheben»-ating’ «arithmos»/-category, are conserved inside each of the new kind of «monads» of the new ontological category/-«arithmos» that the ‘self-«aufheben»-ation of the earlier category/«arithmos» creates, or posits, by means of its self-«aufheben» self-negation/self-conservation/self-elevation.

 

This whole process of self-«aufheben» self-reflexive self-action/«auto-kinesis» is driven by the ‘meta-Darwinian’ success, due to the sustained, accelerating rate of expanded self-reproduction of the «monads» of that earlier «arithmos»/ontological category.

 

One of several alternative product-rule axioms of the N_Q_ axioms-systems of the ‘generic first arithmetic for modeling ordinal-categorial dialectics’, the one that we call ‘the double-conservation «aufheben» evolute product rule axiom’, abstractly reflects, as per its name, this ‘double conservation’ character of dialectical negation, ‘~’, with ‘Ä’ denoting «aufheben» ontological multiplication, with ‘Ã…’ denoting categorial, oppositional/non-amalgamative addition, and ‘|-=’ denoting ‘equal to per axiomqn in NQ, and n in N


qn  Ã„  qn  Âº  qn2  Âº   qn(qn)   Âº   ~qn        


|-=    qn  Ã…  qn+n – such that:


q2n is qualitatively, ordinally   ¹   to q1n.

 


If generic qn, for n in N, is interpreted/-assigned to represent a specific kind-of-being/-ontological category/-«arithmos»-of-«monads», name it a – e.g., represented by qa – then:


qa  Ã„  qa   º   qa2   º   qa(qa)    º    ~qa     


|-=  qa  Ã…  qaa 


such that category qaa is categorially, 


‘«monad»-ically’, 


qualitatively 


and 


ontologically   


¹  to ontological category qa.

 

 

 

 

 

 

 





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

 

 

 

 

 

 

 

 

 

 

 

 

For partially pictographical, ‘poster-ized’ visualizations of many of these Seldonian insightsspecimens of dialectical artas 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.

 

 

 

 

 

 

YOU are invited to post your comments on this blog-entry below!