The ‘‘‘Evolute’’’ Dialectic of G. W. F. Hegel. Part 2.: Cases of Dialectic Series.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

The ‘‘‘Evolute’’’ Dialectic

 

of

 

G. W. F. Hegel.

 

Part 2.:

 

Cases of Dialectic Series.

 

 

 

 

 

 

 

 

 

 

 

 

GLOBAL STRATEGIC HYPOTHESES.

 

 

 

 

 

 

 

 

 

 

 

Dear Reader,

 

Claim: The dialectic, as propounded by George Wilhelm Friedrich Hegel, as he described it, for example, in the final, summary chapter of his treatise on dialectical logic – entitled «Wissenschaft der Logik», or, in English translation, ‘‘‘The Science of Logik’’’ – in Volume Two, Section Three, Chapter 3 of that treatise, “The Absolute Idea” [addressing Hegel’s “absolute method”], is an assertion of what we of F.E.D. term the ‘‘‘evolute’’’ character of the conservation “moment” of the dialectical or «aufheben» operation –

 

“In the absolute method the Concept maintains itself in its otherness, … at each stage of its further determination, it raises the entire mass of its preceding content, and by its dialectical advance it not only does not lose anything or leave anything behind, but carries along with it all it has gained, and inwardly enriches and consolidates itself.”*

 

 

One can see this ‘‘‘evolute’’’ conservation captured in the rules of the main categorial ideography of the generic Seldonian _NQ arithmetic for modeling dialectics.

 

The rules of the categorial, ontological self-multiplication operation of that “purely”-qualitative arithmetic do not describe the “flowing [‘---]’] from one other to the next other”* that Hegel decries, in the same paragraph whose concluding sentence is quoted above; not –

 

q₁ ---] q₂ ---] q₃ ---] q₄ ---] q₅ ---] q₆ ---] q₇ ---] q₈ ---] . . .

 

– with each new “other”, or determinate-negation-born next category, losing, forgetting, or erasing all of its preceding, qualitatively different, determinately-different, determinate-negation-generated categorial, ontological content.

 

On the contrary, the generic categorial progression, per the axioms of the _NQ dialectical arithmetic/algebra, describe, ideographically, just what Hegel described narratively, in the passage from his «Logik» quoted at the outset. 

 

For the ‘Dyadic Seldon function’, this generalized, generic, abstract, epochal or step-wise ‘‘‘evolute’’’ progression of, in each step, coexisting, contemporaneous ontological categories looks like this –

 

q₁ ---] 

q₁ [+] q₂ ---] 

q₁ [+] q₂ [+] q₃ [+] q₄ ---] 

q₁ [+] q₂ [+] q₃ [+] q₄ [+] q₅ [+] q₆ [+] q₇ [+] q₈ 

---] . . .

 

– or, per the Seldonian ‘Qualo-Peanic Method’, looks 

like this –

 

q₁ ---]  

q₁ [+] q₂  ---]  

q₁ [+] q₂ [+] q₃  ---] 

q₁ [+] q₂ [+] q₃ [+] q₄  ---] 

q₁ [+] q₂ [+] q₃ [+] q₄ [+] q₅ 

---] . . . .

 

 

If we apply the latter Method, not to philosophical ideation, but to our best scientific knowledge of the [singular] historical, physical ‘dialectic of Nature’ to-date, covering just the expanding ontological content of our cosmos from the «aufheben», ‘meta-unitic’ epoch of “particles”, to that of those plus “atoms”, to that of those plus “molecules”, to that of those plus “prokaryotic living cells”, including all of their ‘categories of hybrid units’, then Seldon’s ‘‘‘evolute’’’ cosmological ontological categorial progression model looks like this –

 

 

q_r --->

 

q_r [+] q_a --->

 

q_r [+] q_a [+] q_ar --->

 

q_r [+] q_a [+] q_ar [+] q_m --->

 

q_r [+] q_a [+] q_ar [+] q_m [+] q_mr --->

 

q_r [+] q_a [+] q_ar [+] q_m [+] q_mr [+] q_ma --->

 

q_r [+] q_a [+] q_ar [+] q_m [+] q_mr [+] q_ma [+] q_mar --->

 

q_r [+] q_a [+] q_ar [+] q_m [+] q_mr [+] q_ma [+] q_mar [+] q_p  --->. . .

 

– and, indeed, by the eighth and last stage of our cosmos’s ontological ‘meta-evolution’ listed above, the universe does not contain just “prokaryotic living cells” alone, but still contains unbound “particles”, “atoms”, and “molecules”, as well as their ‘hybrid ontological categories’.

 

 

Those ‘hybrid categories’ cover, in part, the stars 

[q_ar], 

that convert proton “particles” [H⁺] into atomic nuclei [e.g., into He⁺⁺], inside stars; molecular cloud conversions of the new atoms, continually being produced by and then expelled by stars, into new molecular-cloud molecules 

[q_ma]; 

and, finally, pre-biological galaxies 

[q_mar], 

in which only “molecules”, “atoms”, “particles” and their ‘hybrid units’ [co-]exist.

 

 

Such galaxies house processes that ‘ongoingly’ convert [some] “particles” into “atoms”, as well as [some] “atoms” into “molecules”, and which may eventually convert [some] “molecules”, together with [some of] molecules’ predecessor kinds of units, into “prokaryotic living cells”, and beyond.

 

 

 

 

 

 

 

*[from: HEGEL’S SCIENCE OF LOGIC, A. V. Miller, translator, Humanity Books, NY, 1969, p. 840, “Notion” replaced with “Concept” by M.D.].  

 

 

 

 

 

 

 

 

 

 

 

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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