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 –

q_n  Ä  q_n    º    q_n2     |-=    q_n  Å  q_n+n   |

q_2n is qualitatively, ordinally ¹ to q_1n.

 

If generic q_n is interpreted/assigned to represent a 

specific kind-of-being/ontological 

category/«arithmos»-

of-«monads», call it a – e.g., represented by q_a – then:

q_a  Ä  q_a    º    q_a2     |-=    q_a  Å  q_aa , such 

that q_aa is qualitatively, ontologically ¹ to q_a.

 

 

 

 

 

 

 

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 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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