'Appropriated Ambiguities' in Dialectical-Algebraic Category-Symbols.

 

 ‘Appropriated

 Ambiguities’

  in

Dialectical-Algebraic

   Category-Symbols.

 

 

 

 

 

 

 

 

 

 

 

Dear Reader,

 

 

Consider the first eight category-symbols in the ‘Historical-Dialectic of Nature’ purely-qualitative, ontological-categorial equation, based upon q_r, denoting the ontological category of the “particles” in the “Standard Model of Particle Physics”, as «arché»-category:

 

q_r²³  ¶|-º q_r+ q_a+ q_ar+ q_m+ q_mr+ q_ma+ q_mar+ q_p.

 

We usually solve for the second algebraic category-symbol, in this categorial series ‘‘‘sum’’’ of «genos» category-symbols, whose unsolved form is q_rr, as q_a, denoting the cosmo-ontological category of atoms. 

 

This means ionic atomic nuclei that were produced via the initial, ‘Cosmological Nucleosynthesis’ – long before any stars and their “stellar nucleosynthesis” processes yet existed – that produced Helium atomic nuclei, Lithium atomic nuclei, etc., after the “Big Bang” space-time-mass-energy plasma-ball expanded sufficiently, hence cooled sufficiently, for such combinations of protons and neutrons to be sustained, rather than immediately disintegrated by their hyper-high-energy surroundings. 

 

 

But that single-meaning interpretation is based upon our ‘“principal value”’ or ‘principal species’ convention. 

 

 

More generally, as a «genos» category-symbol, q_rr connotes more than a single species; connotes its multiple species of units that are combinations of “particle” units, that are implicit within the q_rr «genos»-category.

 

 

Algebraic, unsolved category-symbol q_rr stands for a new «genos»-category of units which are combinations of “particles”; or for [meta-]“particle” units, each one made up out of multiple “particle” units, or for the self-conversions of multiple “particle” units into such single ‘meta’-“particle” units.

 

 

That generic description certainly describes atoms, each typical, neutral atom unit being made up out of a heterogeneous multiplicity of electron “particle” units, proton “particle” units and neutron “particle” units.

 

 

However, it also fits for the self-transition of “non-composite particle units” into “composite particle units”, which comes before, and transitional to, the formation of atom units.

 

 

That is, both the proton unit and neutron unit components of atom units, are themselves “composite particle” units, composed of the “non-composite particle” units, known as “gluon” units and “quark” units.

 

Electron units are “non-composite particle units”, so that, in these terms, atom units are hybrid meta-units, combining “composite particle units” and/with “non-composite particle units”.

 

When we apply the ‘principal species principle’, we usually choose the more widely-known and more familiar – hence more mnemonic – species-category name to abbreviate the «genos»-category name, as here: using q_a as our shorthand representation for the, specific, atom units category. 

 

 

But it is important to remember that q_rr connotes also other species-categories within this «genos»-category – not just the atom units species-category.

 

 

A better, more species-encompassing, if less mnemonic, decoding of the q_a «genos» category-symbol would be a definition such as   ‘units each of which is a self-aggregation of [multiple, typically diverse] “particle” units’.

 

 

Similarly, with our solution for the fourth «genos» category-symbol – the initially algebraic-unknown category-symbol q_aa.  

 

We solve it as q_m, standing for the cosmo-ontological category of “molecule” units. 

 

Again, we see the “molecule” units category, or, e.g., the “molecular cloud” units cosmo-ontological category, as the ‘principal species-category’ of «genos»-category q_aa.

 

However, the combinations of atoms with atoms «genos»-category, which this category-symbol connotes, includes also other species than that of molecule units, including a transitional species-category, situated chronologically and ‘contentally’ in between the q_rr atom-units ontology species-category and the q_m molecule-units ontology species-category. 

 

 

This other species-category of the q_aa «genos»-category of ‘[meta-]atom units, each one made up out of multiple atom units’, or of ‘atom units self-converted into meta-atom units’, also describes the more complex atom units, of higher atomic number and of higher atomic weight – beyond the cosmological nucleosynthesis products, e.g., Helium atom units and Lithium atom units – that arise via the subsequent, stellar nucleosyntheses in the hearts of stars.

 

That stellar nucleosynthesis synthesizes bigger, heavier nuclei that increasingly “metalize” the initial compositions of subsequent generations of star units.

 

This “metalization” lays the groundwork for the spinning disk nebulae units that, by self-gravitation, precipitate out of such higher-atomic-species-enriched molecular cloud units, to become, no longer merely single star units, double star units, etc., but star units with planet units.

 

Many of these higher atomic species units can even be described as combinations [‘“fusions”’] of 3 or more Helium nuclei – e.g., Carbon atom units, atomic number 6, »combining 3 Helium nuclei, and Oxygen atom units, atomic number 8, »combining 4 Helium nuclei.

 

A better, more species-encompassing, if less mnemonic, decoding of the q_m «genos» category-symbol would be a definition such as ‘units each of which is a self-catalyzed manifold of [multiple, typically diverse] “atom” units’.

Likewise, for our solution for the eighth «genos» – the initially algebraic-unknown category-symbol q_mm.  

 

We solve it as q_p, standing for the Terran ontological category, and possible cosmo-ontological category, of “prokaryotic living cell units”. 

 

Again, we see the “prokaryotic living cell units” Terran ontological category, which is possibly also a cosmological-ontological category, widespread throughout our cosmos, as the ‘principal species-category’ for/within/inherent in/immanent to «genos»-category q_mm.

 

However, the ‘combinations of molecule units and/with other molecule units’ «genos»-category, which this category-symbol connotes, includes also other species-categories than the species-category of molecule units, including a transitional species-category, situated chronologically and ‘contentally’ in between the q_m molecule-units-ontology species-category and the q_p “prokaryotic living cell units”-ontology species-category. 

 

This other species-category of «genos»-category q_mm, for ‘[meta-]molecule units, each unit made up out of multiple molecule units’, or of ‘[micro-]molecule units self-converted into meta-molecule units’, also describes the more complex, ‘meso-molecular’ molecule units and “macromolecule” molecule units, of higher complexity, higher 3-D volume and higher mass – the ‘“poly-mers”’, beyond the mere ‘‘‘mono-mers’’’, or even ‘sub-mono-mers’, such as H₂, O₂, H₂O, CO₂, NH₃ and CH₄. 

 

The “macromolecule” units include “polymer” units such as ‘“poly-saccharide”’ units, ‘“poly-peptide”’ units, or ‘“poly-amide”’ units, that form “protein macromolecule” units, and the ‘‘‘poly-nucleotide’’’ units that form RNA and DNA units.  

Other widely-familiar “macromolecule” units include chlorophyll units, crucial to plant photosynthesis of food molecule units, and hemoglobin units, crucial to the blood-transport of Oxygen molecule units, O₂, for respirative metabolism, to the eukaryotic cell units inside ‘multi-[eukaryotic-] cellular’ animal organism units.

“In biological contexts, essentially all biological macromolecules – i.e., proteins (polyamindes), nucleic acids (polynucleotides), and polysaccharides – are purely polymeric, or are composed in large part of polymeric components.”

Note also that each polymer ‘meta-unit’, is the result of a Nature-dialectical, ‘self-aufheben meta-unit-ization’ combination of a (typically very large) multiplicity of former ‘mere mer’ units. 

The formation of some of these “macromolecule” units – outside of prokaryotic cell units, and before prokaryotic cell units came into existence, or even could come into existence – formed a necessary prelude and de facto preparation for the possibility of the pre-human-natural formation of living prokaryotic cell units.

 

A better, more species-encompassing, if less mnemonic, decoding of the q_p «genos» category-symbol would be a definition such as   ‘units each of which is a self-catalyzed ‘poly-molecular’ spontaneous natural formation unit made up out of multiple “monomer”, “molecular” units’.  

 

So far, we have considered the connotational surfeits, the expanded meanings, only of the ‘self-hybrid’, ‘auto-hybrid’ cosmological-ontological category-symbols q_rr, q_aa and q_mm, all arising with in the third epoch, the ordinal t = 3 epoch, of the ‘Dialectic of Nature meta-equation’, whose LHS is q_r^2t, for t = 3.

 

What of the “merely hybrid”, ‘allo-hybrid’ cosmological-ontological categories of this t = 3 cosmo-ontological categorial progression, namely – q_ar, q_mr, q_ma  &  q_mar?

Well, let’s consider «genos» category-symbol q_ar.

 

We usually take, as the ‘principal species-category’ of this «genos»-category, that cosmo-ontological category whose units are first-generation, initial-generation stars, solving, e.g., as follows: q_ar |-º q_i.

 

First generation stars, we hold, are generally supersized stars, formed, by self-gravitational self-condensation/-‘self-densification’, not from not-yet-existent “molecular clouds”, but from minimally-metalized and virtually molecule-less ‘atomic clouds’, made mostly from hot atomic Hydrogen and atomic Helium atom units.

 

These earliest stars have a Helium-atoms-dominated outer layer, surrounding a hyper-hot stellar core of ‘plasma-ized’ Hydrogen atoms, i.e., a core of dissociated protons and electrons – a proton-electron plasma – thereby sustaining thermonuclear fusion reactions that produce “di-protons”, which become Helium atom units, during these star units’ stay on the stellar “main sequence”.

 

Thus, these initial stars fit the category-description ‘q_ar’; they combine a [Helium] atoms surround with a “particles” [protons and electrons] core, converting proton “particles” into Helium atoms by stellar nucleosynthesis fusion process.

 

That’s a “macroscopic” meaning for category-descriptor ‘q_ar’.

 

But there is also a, ‘co-chronological’, “microscopic” meaning connoted by ‘q_ar’ as well.

 

Recent research indicates that HeH⁺ “molecules” are both the first “molecules” to arise in our cosmos, and are also “molecules” that act as an accelerant for first-generation star formation.

 

But is HeH⁺ really a “molecule” at all?

 

The crux for this question is the nature of the H⁺ “ion”.

 

The H⁺ “ion” is actually not an atom at all.  It is a “naked” proton “particle” – naked of any electron “particles” at all.

 

Thus each HeH⁺ unit is a close association of a proton “particle” unit, H⁺, with a Helium atom unit, with an atomic nucleus containing two protons and two neutrons, and with two electrons – electrons that make this closeness of association of an He atom unit with a proton particle unit possible – electrons that resonate around that Helium atomic nucleus, and that also share themselves with the H⁺ proton particle unit.

 

Therefore, the HeH⁺ units, ‘mis-nomered’ as  “molecule” units, actually fit the q_ar category-symbol’s category-description, as a microscopic correspondence with the macroscopic meaning of q_ar, and do not fit the category-description q_aa |-º q_m. 

 

 

 

In summary, we have seen that these, _NQ arithmetic for dialectics symbolic ambiguities can be appropriated so as to enrich the interpreted meaning and model-fitness of those category-symbols that exhibit such connotational multivalence ambiguities.

 

These connotational multivalences, that register implicit multiple-species sub-categories hidden within _NQ dialectical-algebraic ontological «genos» category-symbols, can also be grasped as a call for the ‘explicitization’ of the «genos»/multiple-species categorial relationships. 

 

Immanently to the _NQ dialectical algebra, this means a call for progression, from the _N Q_ [---) q₂ category of axioms-systems of dialectical arithmetic, to at least the –

_Nq__BA [---) q₂₄ 

– 24^th step in that long-form dialectical progression of categories of arithmetics for modeling dialectics, wherein generic dialectical, “purely”-qualitative ‘meta-number meta-numerals’ of the form –

_____b______

(a₁ +…+ a_W)

– arise, with their b’s standing for a generic single «genos» category, and with their (a₁ +…+ a_W)’s standing for the, “non-amalgamative”, «asumbletoi» “sum” of all of their species categories, that inhere in, and that are abstractly encompassed by, those «genos» categories, the b’s. 

     

 

 

 

 

 

 

 

 

 

 

 

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.

 

 

 

 

 

 

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

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Pre-Human Nature Is Still Present OUTside You, and Is Still Present INside You – Double Conservation 'Evoluteness'.

 

 

 

 

  

Pre-Human Nature

Is Still Present OUTside You

and Is Still Present

INside You –

 

Double Conservation

‘Evoluteness’.

 

 

 

 

 

 

 

 

 

 

 

Dear Reader,

 

 

I.  Pre-Human Nature Is Still present OUTside You.

    Cosmological ‘Meta-Evolution’ is ‘‘‘Evolute’’’/-Covolute’, not ‘‘‘Convolute’’’.  Outside of you, there are still animal societies [and ‘plant societies’].  There are still asocial ‘multi-eukaryotic-cellular’ organisms.  There are still unicellular eukaryotic cells.  There are still macromolecules and simpler molecules.  There are still “free”, chemically unbonded atoms.  There are still – at least – “free”, unbound “composite particles” of the “Standard Model of Particle Physics”, as well as “free”, unbound “non-composite particles” of that “Standard Model”.  There is still “Dark Matter”, mostly unknown in its nature.  There is still “Dark Energy”, even ‘more unknown’ as to its nature.

 

II.  Pre-Human Nature Is Still present INside You.

      You are the result of the cumulative sequence of the ‘self-«aufheben» self-internalizations’ of all of the units of the preceding, ‘qualo-fractally’ scaled ‘self-hybridizations’ of Nature.

      You are inside the present human society – the humans-led ‘meta-society’, combining other, co-domesticated, animal societies, and ‘plant societies’ – by which you live.

       Inside you, are the genetic and brain-layer remnants of an individual unit of the hunter-gatherer band animal-social-units in which form we humans, our ancestors, began.

       Your body is a multi-eukaryotic-cellular animal organism unit.

       Inside your body are eukaryotic cell units.

       Inside your eukaryotic cell units are thousands of mitochondria, the remnants of former prokaryotic cell units.

       Inside [and outside] your mitochondria are molecule units.

       Inside your molecule units are atom units.

       Inside your atom units are “particle” units.

       Inside your “particle units”, we hypothesize, are “Dark Matter” ‘meta-spandetron’ units.

       Inside your “Dark Matter” ‘meta-spandetron’ units, we hypothesize, are, “Dark Energy”, ‘spandetron’ units, the units of “empty” space itself.

 

That is why the product rule axiom of the _NQ ‘arithmetic for modeling dialectics’ includes –

q_x  ´  q_x   =   q_x  +  q_xx

– with subscript-category/units-epithet ‘x’ «aufheben»-conserved in both terms, in both ontological-category-symbol q_x and in ontological-category-symbol q_xx.

 

 

 

 

 

 

 

 

 

 

 

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.

 

 

 

 

 

 

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