Part 5., Series on the ‘Regenerist Hypothesis’. ‘ATOMS AND THE PLENUM’ -- ‘Regenerism’ and Ancient Atomism.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

‘ATOMS

 

AND THE

 

PLENUM’ --

 

‘Regenerism’

   and

Ancient

Atomism.

 

 

Part 5. of the

Series on the

‘Regenerist

Hypothesis’.

 

 

 

 

 

 

 

 

 

 

 

Dear Reader,

 

In thinking about the Seldonian ‘Self-Resurging Big Surge’ Hypothesis – which we also call ‘The Spandetron Hypothesis’ about “Dark Energy”, or ‘The Regenerist Hypothesis’ on the thermodynamic self-regeneration of our cosmos, we find it interesting to consider it in relation to the ancient hypotheses of “atomism”.

 

These hypotheses emerged early in philosophical history – among the Jainists of India, after 800 B.C.E, and with the ancient Greek philosophers Leucippus and Democritus, in the Fifth Century B.C.E.

 

The etymology of the ancient Greek term «atom» is telling:  the word-element ‘«a»’ is a negatory prefix, signifying “not”; “«tomos»” is Greek for “cut”.  An «atom» is thus a ‘not-cut’, or an ‘uncuttable thing’.  For the atomists, this word names ultra-microscopic, humanly invisible objects that can’t be divided further; devoid of separable parts. 

 

In the context of ancient Greek philosophy, we might think of these «atoms», held to constitute the single unit that is our cosmos, as the fruition of a critique of the Parmenidean model of that cosmos, as a single unit of pure Being – a single sphere of eternal, immutable substance – by way of a ‘meta-unit-ization’, holding the cosmos to be, instead, made up out of a multiplicity, an «arithmos», of tiny such units, of substantial shapes, likewise eternal and immutable, but immersed in a void of nothingness; in a nothing whose existence, whose very possibility, Parmenides denied.   

 

Per the atomists, then, our cosmos is composed of just ‘“atoms and/in the void”’.

 

Per the Seldonian ‘Regenerist Hypothesis’, on the contrary, our cosmos is composed of ‘«monads» and/in a «plenum»’, itself also an «arithmos» of «monads», or, more specifically, a growing ‘‘‘cumulum’’’ of a finite but growing number of ontologically, qualitatively distinct kinds of «monads»; of multiple, distinct «arithmoi» of «monads».

 

By «monads» we mean units that are distinguishable, but most often not “uncuttable”.  We mean mostly «monads» that typically contain layers/levels/finite-fractal scales of nested ‘sub-«monads»’.

 

By a «plenum», we mean, not an emptiness, but a ‘flowing fullness’.  In particular, we mean the ‘‘‘shoreless ocean’’’ of ‘spandetrons’; the ‘spandetron expanse’ that we hypothesize as that which forms the substance of “Dark Energy”.

 

‘‘‘Floating’’’, ‘‘‘suspended’’’ in that ‘spandetron expanse’ are ‘metaⁿ-«monads»’ that are various ‘‘‘orders’’’ or ‘‘‘degrees’’’ of ‘metaⁿ-spandetrons’.  We currently have no hypothesis as to what sub-units the ‘spandetron’ units might be made of, so, perhaps, it is the ‘spandetron’ units that are the ultimate, ultra-microscopic, “Planck-scale”, ‘uncuttables’ – we presently do not know.

 

Per hypothesis, the 1st ‘“order”’ or ‘“degree’’’ of ‘meta-spandetrons’, the ‘meta¹-spandetrons’, are the units of so-called “Dark Matter”.  Each “Dark Matter” «monad» is made up out of a multiplicity of ‘spandetrons’, self-damaged by their “inflationary” excession of the – far superluminal, but still finite – limiting velocity of “Dark Energy” space self-expansion, beyond which the, incessantly self-replicating, ‘spandetrons’ become damaged, de-natured.  This self-induced ‘‘‘damage’’’ means that they lose their capability to self-replicate, and, instead of the ‘anti-gravitic force’ that they represented in their undamaged state, they turn into their opposites, by becoming the gravitating, or ‘anti-anti-gravitic’ «monads» of the, ‘proto-galactic’, “Dark Matter Halos”.

 

The dialectical synthesis of this “Dark Energy” versus “Dark Matter” antithesis, this anti-gravity versus ‘anti-anti-gravity’ cosmological opposition, is, per hypothesis, the pre-‘Bright-Matter’ “cosmic web”.

 

By ‘Bright Matter’ – including at least the «monads» of the “Standard Model of Particle Physics” – we mean the 2nd ‘“order”’ or ‘“degree’’’ of ‘meta-spandetrons’, i.e., the ‘meta²-spandetrons’, each one made up out of a multiplicity of ‘meta¹-spandetrons’, of units of so-called “Dark Matter”.

 

Thus, each unit of “Dark Matter” is made up out of multiple units of “Dark Energy”, and each unit of ‘Bright Matter’, i.e., of units that interact with photon units, is made up out of multiple units of “Dark Matter”. 

 

Per hypothesis, the ‘self-involutional’, self-iterating  «aufheben» process of ‘metaⁿ-«monad»-ization’ escalates upward in ‘‘‘degree’’’ from there, as per the Encyclopedia Dialectica dialectical-ontological ‘meta-model’ of Nature – of ‘cosmological meta-evolution’ – as depicted in the images posted above.

 

 

 

 

 

 

 

 

 

 

 

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.

 

 

 

 

 

 

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

 

 

 

 

 

 

 

 

 

 

 

What an AI Got Wrong About Seldonian Dialectic-Mathematics.

  

 

 

 

 

 

 

 

 

 

What an AI

 

Got Wrong

 

About

 

Seldonian

 

 Dialectic-

Mathematics.

 

 

 

 

 

 

 

 

 

 

 

Dear Reader,

  

It is telling to note what an AI – the same AI whose biography of Karl Seldon I discussed in a previous recent blog-entry here – got right and got wrong about Seldon’s “mathematics of dialectics”.

 

Here’s what the AI produced –

 

The Dialectic of Regeneration in Complex Systems

In any sufficiently complex system — whether cosmological, biological, or socio‑economic — regeneration emerges not as an anomaly but as a structural necessity. The dialectical progression of categories reveals this through the recursive transformation:

 Here, represents the system’s current structural form, its internal contradiction, and the regenerated form that resolves and transcends the contradiction. This triadic movement is not imposed from outside; it arises from the system’s own internal dynamics.

In cosmology, this manifests as the interplay between expansion and gravitational negation, producing new structural phases of the universe. In political economy, it appears in the tension between value creation and value realization, driving cycles of crisis and restructuring.

The key insight is that regeneration is not a return to a previous state but the emergence of a qualitatively new configuration. The system does not repeat; it advances. The dialectical algorithm captures this through its recursive indexation, ensuring that each transformation is both continuous with and distinct from its predecessor.

 Thus, the dialectic of regeneration is the engine of systemic evolution — a principle that unites the cosmos, the economy, and the conceptual structures through which we understand them.

 

The errors in the AI’s rendition, above, are complex and highly-entangled, so let’s take the above-quoted text, paragraph-by-paragraph, or even sentence-by-sentence.

 

1.  “In any sufficiently complex system — whether cosmological, biological, or socio‑economic — regeneration emerges not as an anomaly but as a structural necessity.” 

This is broadly accurate, although the emphasis on “regeneration” is not generally the right, but is the case especially in human-social Nature. 

Generally, especially in ‘exo-human Nature’, it is the ontological causality, driven by the ‘intra-duality’ of the natural formation in question, that drives its progression, both ontological-monadic and, for we humans’ narration thereof, ontological-categorial.

The AI’s emphasis on regeneration here may be an artifact of the title of a recent essay by Seldon – “The Thermodynamic Self-Regeneration of Our Cosmos in the Dialectic of Nature”, where regeneration refers to the hypothesized repeated self-flooding of the cosmos with new, “Dark Matter” thermodynamic free energy.

 

2.  “The dialectical progression of categories reveals this through the recursive transformation:

 

 

Here, represents the system’s current structural form, its internal contradiction, and the regenerated form that resolves and transcends the contradiction. This triadic movement is not imposed from outside; it arises from the system’s own internal dynamics.”

 

The AI uses – incorrectly – the simplified dialectical ideography that Seldon has only recently introduced, here – in this blog, in fact – and that represents the generic ontological category via the Greek letter kappa, k, which Seldon capitalizes, emboldens, and underscores: ‘K’. 

 

The bold-face and underscore features – which, in Seldon’s symbology, signify the “purely” qualitative/ontological/-categorial character of the kappa-based category-symbols, and, especially, their ‘contra-Boolean’ character – was not picked-up by the AI.

 

More problematic still is the symbolic expression by which the AI mis-defines the “recursive” ideography of the Seldonian representation of dialectic. 

 

The actual expression – and we will use the synchronic, presentational, systematic-dialectic symbology only, here, for typographical convenience – should be, not using the propositional negation sign, ‘Ø’, but the tilde ‘~’, albeit which is only similar to Seldon’s official «aufheben»-dialectical determinate 

«aufheben»-negation/opposition operator.

 

But a bigger problem with the AI’s rendition is that the subscripts of the Seldonian K, as in ‘K_x’, are not “purely”-quantitative “natural numbers”, n, as in the AI’s notation, ‘K_n’, but are, instead, one-character abbreviations of a user’s name for, or a user’s phrase which describes the quality shared by all of the units that are represented by that ontological category-symbol, ‘K_x’; an abbreviation represented, above, generically by the variable ‘_x’.

 

Only if we construe the AI’s ‘K_n’ as analogous to the generic Seldon function’s ‘)-|-(_n’, which stands for a, synchronic, presentational, ‘contentally’-consecutive, non-amalgamative sum of 2ⁿ category-symbols, in cases of the ‘Dyadic Seldon Function’, or of 3ⁿ category-symbols, in cases of the ‘Triadic Seldon Function’, for the nth step, s = n, in the given, categorial-progression presentation, would the AI’s formula make Seldonian sense, if amended to, for the ‘Dyadic Seldon Function’ –

K_n  ®  ~K_n  =  K_n+1 

– Just as, in Seldon’s synchronic-dialectic, categorial-progression presentational notation –

)-|-(_n  ®  ~)-|-(_n  =  )-|-(_n Ä )-|-(_n  =  

)-|-(_n²   =  )-|-(_n+1 

– for the ‘Dyadic Seldon Function’, and –

)-|-(_n   ®   ~~)-|-(_n  =  )-|-(_n³  =  

)-|-(_n+1

– for the ‘Triadic Seldon Function’.

 

But there is nothing “triadic”, contrary to what the AI asserts, in its formula.  There are only two distinct ‘Kategories-symbols’ in it, first, K_n and second, K_n+1, or the synonym of the latter, ~K_n.

 

A more detailed view of the Seldonian version of the AI’s formulation is –

K_n    ®   ~K_n    =  K_n(K_n) =  K_nÄK_n  =  K_n²  =

K_n ~Å~ DK_n    =    K_n+1

  

Note that, in actual Seldonian dialectical-categorial

progressions, the antecedent categories and ontologies are «aufheben»-conserved,

 

when K_n²⁰ = K_n¹  =  K_n becomes

K_n²¹ = K_n² 

[doubly conserved, in fact, both internally,

‘meta-monadically’, in DK_n, and externally in the K_n that re-occurs in K_n ~Å~ DK_n].

However, the AI is correct in stating that “[The] triadic movement is not imposed from outside; it arises from the system’s own internal dynamics”.

 

3.  “In cosmology, this manifests as the interplay between expansion and gravitational negation, producing new structural phases of the universe.” 

To be accurate regarding Seldon’s theory, this would have to read: “In cosmology, this manifests as the opposition between “Dark Energy” space-expansion acceleration and “Dark Matter”[/‘Bright Matter’] gravitational space-contraction, producing new phases of “Dark Matter” thermodynamic free energy release in the universe.”

 

4.  “In political economy, it appears in the tension between value creation and value realization, driving cycles of crisis and restructuring.”

The above errors probably arose from the AI’s samplings of and trainings on other discourses about the Marxian theory of capitalist dynamics, such as ‘under-consumptionist’, ‘over-productionist’, and/or ‘markets-saturation/buy-back problems’ hypotheses, which are often falsely attributed to Marx.

To be accurate regarding Seldon’s theory, this would have to read:

“In political economy, it appears in the ‘intra-duality’ between capital as “self-expanding value” and capital as “self-contracting value”, the latter resulting in falling profit-rates from competitive technological obsolescence depreciation of fixed-capital value in the earlier capitalist system, prior to major institutional interventions by the capitalist ruling class, such as, in the USA, the Federal Reserve near-hyper-inflation-regime.”

5.  “The key insight is that regeneration is not a return to a previous state but the emergence of a qualitatively new configuration.  The system does not repeat; it advances.  The dialectical algorithm captures this through its recursive indexation, ensuring that each transformation is both continuous with and distinct from its predecessor.”

The statement of above is close to being accurate.  To improve its accuracy, it should be edited to something like the following:

“The key insight is that ‘ontological self-revolution’ is not a return to a previous ontological state but the emergence of a qualitatively new ontology, albeit with the internal and external «aufheben»-conservation of many elements of the predecessor-ontology, whose internal self-opposition itself was what, at length, gave rise to the «aufheben»-scale-elevated and qualitatively different new ontology.  The system does not repeat; it advances, albeit with elements of higher-level, higher-scale helical return.  The dialectical algorithm captures this through its recursive ‘subscriptizations’, describing each «aufheben»-dialectical self-transformation as both self-continuing and ontologically distinct from its predecessor-ontology.”

 

5.  “Thus, the dialectic of regeneration is the engine of systemic evolution — a principle that unites the cosmos, the economy, and the conceptual structures through which we understand them.”

The above statement is pretty on point.  We would edit it to something like: “Thus, the dialectic of ‘intra-duality’ is the engine of systemic self-evolution — a principle that unites the cosmos as a whole, and systemic parts of it, such as the human economy, and the conceptual, categorial ‘content-structures’ through which we understand them.”

 

I should note also that, in previous experiments, we have, through dialogue with an AI, moved that AI’s description of the Seldonian ‘mathematics for modeling dialectics’ into thorough accuracy, and even to the adoption of the earlier, ‘pre-kappa’, more-complex, but also more mathematically and syntactically apt and powerful, _NQ dialectical-ideographical notation.

 

The AI’s narrative, reproduced above, was the raw product of a single query to that AI, without any feedback to that AI from us.

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.

 

 

 

 

 

 

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