'‘‘A GENERAL METHOD’’’: The Seldonian ‘Qualo-Peanic Method’ for Categorial Dialectics.

 

 

 

 

 

 

 

 

 

 

 

 

‘‘‘A GENERAL METHOD’’’:

 

 

The Seldonian

‘Qualo-Peanic Method’

 

for

 

Categorial

Dialectics.

 

 

 

 

 

 

 

 

 

 

Dear Reader,

 

 

The ultra-simplified, equation-less, exponent-less, sans mathematical-symbols version of the Seldonian dialectical method applies a qualitative version of the Peano successor function, from the Peano-Dedekind axiomatics of the first-order-logic “Natural Numbers”, to its category-symbols progressions.

 

The generalized procedure of this method is as follows –

 

1.  Choose an effective starting-category, call it q_a, for the Domain whose ontological categorial progression you wish to construct, based upon your “domain expertise” for that Domain.  Thus, the first category-term of your categorial “progression” is just q_a; it consists so far of just that one category-symbol term.

 

2.  Make a copy of q_a, and append subscript ‘_a’ to its already-present ‘_a’ subscript, thus constructing a new –

initially a category-algebraic unknown – category name, q_aa.  Then, “and” [“&”] this second category-name to your first, thus constructing a two-term, minimal categorial progression: q_a & q_aa.

 

3.  Determine that definitional word/phrase that expresses the meaning of category-symbol q_aa, in the context of your Domain, thus rendering q_aa no longer an algebraic unknown.  Suppose that the abbreviation/initial letter of that definitional word/phrase is represented by ‘b’.  Replace q_aa with q_b.  Your categorial progression is thus now: q_a & q_b. 

 

4.  Again, make a copy of the most recent/last category-term,  q_b, and again append subscript ‘_a’ to its ‘_b’ subscript, thus constructing a new, initially category-algebraic unknown, category name, q_ba.  

Then, “and” this third category-name to your first two, thus constructing a three-term categorial progression: q_a & q_b & q_ba.

 

5.  Determine that definitional word/phrase that expresses the meaning of category-symbol q_ba, in the context of your Domain, thus rendering q_ba no longer an algebraic unknown.  Suppose that the abbreviation/initial letter of that definitional word/phrase is represented by ‘g’.  Replace q_ba with q_g.  Your categorial progression has now thus been resolved as: q_a & q_b & q_g.

 

6.  Again, make a copy of the most recent/last category-term,  q_g, and again append subscript ‘_a’ to its ‘_g’ subscript, thus constructing a new, initially category-algebraic unknown, category name, q_ga.  Then, “and” this fourth category-name to your first three, thus constructing a four-term categorial progression: 

q_a & q_b & q_g & q_ga.

 

7.  Determine that definitional word/phrase that expresses the meaning of category-symbol q_ga, in the context of your Domain, thus rendering q_ga no longer an algebraic unknown.  Suppose that the abbreviation/initial letter of that definitional word/phrase is represented by ‘d’.  Replace q_ga with q_d.  Your categorial progression has now thus been resolved as:

 q_a & q_b & q_g & q_d.

 

You no doubt see the procedural pattern, the algorithm, of this, ‘Peanic’, ultra-simplified version of the Seldonian dialectical method.

 

 

This method is applied to the example of the [singular] ‘dialectic of Nature’ below, beginning with a chosen starting-category description, q_r, standing for the pre-atomic “particles” ‘cosmo-ontological’ category –

 

1.  Write  q_r, standing for the category of pre-atomic “particle” units, as starting category.

 

2.  Write q_r & q_rr, with q_rr describing a category each of whose units is a combination of multiple “particles” units, i.e., “atoms” units, which combine the “particles” units known as electrons, protons, and neutrons.

 

3.  Re-write q_r & q_rr as q_r & q_a, with subscript a standing for the category of “atoms” units. 

 

4.  Write q_r & q_a& q_ar.  Hybrid subscript ar suggests those known cosmological objects that convert particle units, i.e., “Hydrogen ion” units, that is, proton particle units, into atom units, i.e., into Helium atomic nuclei units, by means of the process known as “stellar nucleosynthesis”. 

Thus, replace subscript ar with subscript s for a category that starts with “first-generation star” units.  Later generation star units also start with proton-electron plasma cores, but their core-surrounding outer layers consists not only of Helium units, but also, increasingly, of atomic species units higher than Helium, due to accumulating “metallization” from generations of stellar nucleo-synthesis.

Your short-hand categories descriptions series now extends to 3 category-signs q_r & q_a& q_s.

 

5.  Write q_r & q_a & q_s& q_sr.  

As q_sr is also q_arr, since s is also ar, and, as we previously replaced subscript rr with subscript a, you can now rewrite q_sr as q_aa. 

 

Interpret q_aa as describing a category each of whose units are combos of multiple “atom” units, i.e., whose units are “molecule” units, call them q_m.

 

The short-hand category description q_aa also describes other kinds of combinations of atoms, such as crystals and metals, but we see molecules as the principal species of the q_aa genus.

 

So your series now represents our cosmos when it contained only four types of units: q_r & q_a & q_s & q_m.

 

6.  Write q_r + q_a + q_s + q_m + q_mr.  

As q_mr suggests combinations of molecule units with particle units, assign this short-hand category description as fitting mainly and initially for the impacts of particle units fluxes on the molecule units forming in interstellar “molecular clouds”, and the results of such [inter]actions, e.g., involving ultraviolet photon particles: molecule units’ photo[n]-disintegrations. 

Your series now describes our universe when it contained only objects fitting the following 5 category descriptions –

q_r & q_a & q_s & q_m & q_mr. 

We leave the 5^th short-hand category description in 2-subscript form, since a single name for that category is not extant or widely familiar.  The 2-subscript form is thus more mnemonic.

 

7.  Write 

q_r & q_a & q_s & q_m & q_mr & q_mrr.  

We previously replaced subscript rr with subscript a.  therefore, replace q_mrr with  q_ma. 

The latter short-hand describes, mainly, the, still ongoing, conversions/combinations of chemically-unbonded atom units into new molecule units, inside interstellar molecular cloud units, as catalyzed or promoted by the molecule units already formed inside those “molecular cloud” units. 

Recall that “molecular cloud” units must have had to start out as, i.e. – ‘molecule-less’ – ‘atomic cloud’ units.  So the later, mostly-molecular clouds still contain, and are also episodically replenished, e.g., by stars’ mass expulsions, with fresh, chemically-un-bonded atoms.  Conversions of atom units into molecule units are thus ongoing within interstellar molecular cloud units. 

Your purely-qualitative cosmos model now sums up our cosmos when it contained only objects/units of one of the following 6 category kinds – 

q_r & q_a & q_s & q_m & q_mr & q_ma.

Again, we are here leaving the 6^th shorthand category description in its 2-subscript form, because a single name for that category is not extant or widely familiar. 

Thus, its 2-subscript form is more mnemonic than a 1-subscript form, with a single subscript abbreviating a name that we just made up for this ma kind of, “hybrid”, units, which would hence be a new and unfamiliar –hence non-mnemonic – name. 

      

8.  Write 

q_r & q_a & q_s & q_m & q_mr & q_ma & q_mar.  

As we have previously interpreted subscript ar as subscript s, consistency with that earlier interpretation leads us to replace subscript mar with two-place subscript ms, describing combinations, or interactions, between molecule units and star units. 

This subscript can be interpreted as describing the conversion, into new, advancing, more-complex species of molecules, fostered or catalyzed by some of the molecules already produced in intra-galactic, interstellar “molecular/atomic clouds”, of the atoms of advancing, more-complex atomic species, created by, and initially inside, slowly ‘self-metallizing’ star units. 

In short, subscript ms suggests the further ‘molecularization’ of stars-produced higher, “metal” species of atoms – of atomic species beyond Helium. 

Subscript ms can also suggest the catalytic actions of certain kinds of molecule units on the formation of later-generation star units, e.g., with their accompanying planet units, made possible by advancing species of, more “metallic”, atomic and molecular species. 

In general, this category symbol connotes the effects of molecules on stars, and reciprocal effects of stars on molecules. 

More specifically, the short-hand category description, q_ms, can also be seen as describing the actions, by molecules, in the molecular clouds that precipitate “proplyds” [proto-planetary discs], that accelerate/catalyze the transformation of those proplyds into stars [e.g., with orbiting planets], as the accumulating “metallization” of successive generation stars, and therefore also of “molecular clouds”, proceeds. 

Your purely-qualitative cosmos content-inventory now describes the universe when it contained only objects fitting for the following 7 short-hand category descriptions –

q_r & q_a & q_s & q_m & q_mr & q_ma & q_ms.

 

9.  Write 

q_r & q_a & q_s & q_m & q_mr & q_ma & q_ms & q_msr.  

As subscript s comes from subscript ar, subscript msr is replaceable by subscript marr.  As we have, previously, replaced subscript rr with subscript a, subscript marr is therefore replaceable by subscript maa.  As we have previously replaced subscript aa with subscript m, subscript maa is thus replaceable by subscript mm. 

Subscript mm suggests a new category, standing for a yet new type of units, beyond the molecule units’ category – units each of which is, typically, a combination of myriad molecule units. 

Thus, subscript mm can describe trans-molecular, “cellular”, prokaryotic cell units, e.g., bacterial cell units, albeit that such units are presently known to exist, so far, only “locally”, on our own home planet – on planet Earth. 

If we hypothesize that such cell units will be found, in the future of human deep space observation and exploration, to be plentiful across our home galaxy, and even across our cosmos, in galaxy after galaxy, then we are holding the category of prokaryote units to be a cosmological category in its own right, not just a Terran category. 

If so, your purely qualitative cosmos-history description now fits for the universe when it contained only objects that fit the following 8 short-hand category descriptions –

q_r & q_a & q_s & q_m & q_mr & q_ma & q_ms & q_p.

 

 

We’ll stop this example at this point, noting that 120 further short-hand category-symbols could accrue, by the same method, up to the 128^th category, that of “humanitys”, or of ‘human meta-societies as units’, with its short-hand category description given as q_h.

 

 

 

 

 

 

 

 

 

 

 

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!