Wednesday, June 28, 2023

Regeniusing

In my cliques or social circles, one hears fairly often that children are born geniuses, but that one way or another, the adult world shapes them into dolts.  The American poet Gene Fowler comes to mind, with his Regeniusing Project and Waking the Poet.  Is there a way to reverse the dumbing down?

Picking up on this thread, I'm trying to think of ways I might've had specific powers I had to water down or ignore.  Without claiming to have any kind of photographic memory, I feel I listen pretty closely to what people tell me, and file their remarks away in my memory bank, such that when we meet again, I'm feeling pretty well-versed on what they've said already.

What struck me as a growing child, then, was how adults didn't seem to bother to keep track of who they'd told what, such that they'd be perfectly OK with repeating themselves endlessly, as if we'd never met.  I'd say things like "yes, you told me" or "yes, I know that" but these remarks came off as rude.  The social practice was to repeat oneself with wild disregard for the audience.  Adults had no responsibility to keep track of prior utterances and rely on shared memory banks.

Now that I'm an adult, I'm better positioned to make their case.  Firstly, talking something out is therapeutic sometimes, so if you have a willing ear, a productive way to take advantage of the opportunity is to retell one of those signature stories.  Just hearing oneself retelling may lead to new insights.  

As a guy who narrates the same slide deck over and over on my YouTube channel, I know the value of this kind of exercise.  It's the same with music.  No one takes the attitude:  we've sung that song already, and we all know how it goes, so why sing it again?

Also, there's the obvious rejoinder that adults get to know exponentially more people and trying to keep track of "who they've told what" becomes empty overhead after awhile.  That's great if you have a great memory. A lot of people do not.  

So that someone in your presence starts down the same road for the umpteenth time is intelligent behavior on their part.  They're not presuming you're a genius in other words.  None of us should presume that of  another -- and so the great dumbing down begins.

The metaphor I'm coming to is not original.  A diamond in the rough.  Shine on you crazy diamond (Pink Floyd).  I'd say the productive path in adulthood is to recognize and not adulterate your specific superpowers, whatever they are, and I'm deliberately weaving in all the superhero comic book images in calling them that.  

I don't need to stump for the supernatural in making some space for the extra-sensory.  We experience the limitations of our senses constantly, and through instrumentation we know about workarounds.

I'm siding with Nietzsche in thinking having a chip on one's shoulder, holding it against some invisible unspecified "society" or "the adults" that one is dumber now, slows one down.  Recall your native / natural abilities and cultivate them as you see fit, but with an eye to being constructive and helpful to your fellow humans and to yourself. 

I'm thinking this was Bucky's secret in large degree:  when you couple your gifts to "helping all humans" versus gaining advantage over them, in a zero sum game, you have less of an upper lid on how you might apply them.  

The evil genius is by definition a tad less of a genius, simply because "being evil" comes with more overhead, a greater cognitive load.  Superpowers become more burdensome when it's all about gaining triumphal vengeance over one's foes, although I don't deny the latter impulse may be temporarily motivating.  

In the Work, ala Maurice Nicoll, one's true foes are internal states and perennial complexes, well known to psychology as potentially ruinous (e.g. hubris and so on).  To the extent you want superpowers, cultivate their virtuous use in some internal jihad, which doesn't equate to becoming self hating.  

Any martial arts guru will teach you that much.  And being virtuous need not equate with simply being a good doobie.

Sunday, June 18, 2023

Word Weights

Words have weights in a context or category.  Change the context to change the weights.  Heavy may become light, and lightweight heavy.  Weight and momentum go together.  A heavyweight word has more inertia meaning impacting its trajectory takes more work.

Category Theory has penetrated higher mathematics by osmosis, as a shared glue language.  The objects (nouns) and morphisms (verbs) that make up a category do not require much infrastructure beyond transitivity and associativity.  The vocabulary from sets and functions flows in to provide bulk (grist for the mill) right from the get go.

How will Synergetics, over time, affect the weights in CT (or in LLMs more generally)?  Polyhedrons are the obvious 4D objects, but we need not include "all" the polyhedrons.  We're happy with a subset and Occam's Razor, and the adage:  don't add what you don't yet need (or "only add on demand" in other words).  Necessity is the mother of invention.  Superfluous invention is a mother of clutter and excess.

In the Synergetics namespace, we may start with the Platonics and their duals, the tetrahedron being self-dual.  By "dual" we mean vertices exchanged with faces, the number of edges holding constant. 

Then we "marry" (Platonic, Dual) pairs to "beget" the rhombics:

  • (Tetrahedron, Tetrahedron) begets a Cube (a Rhombic Hexahedron)
  • (Cube, Octahedron) begets a Rhombic Dodecahedron
  • (Icosahedron, Pentagonal Dodecahedron) begets a Rhombic Triacontahedron

Euler's V+F == E+2 gets introduced, along with Descartes' Deficit and concavity/convexity.  We're interested in polar pairs, associated spin axes, and great circle networks (especially juxtaposed and reduced to LCD triangles).  

We're also interested in dissections, of polyhedrons into component polyhedrons, and a relative volumes hierarchy.  

The Jitterbug Transformation has to qualify as one of the hallmark morphisms, or as a sequence, or poset, of morphisms.

An associative sequence of morphisms might be called a "train" with transitivity implying "express trains" that skip stops.  The cuboctahedron to icosahedron "local" then continues to the octahedron, whereas an "express" might go from the octahedron back to the cuboctahedron without click-stopping at the icosahedron.  

The connected volumes of 20, 18.51..., 4 count as properties of the polyhedrons in question.  Objects have properties.

The cuboctahedron of 2.5 grows to an icosahedron of 2.91796... with two applications of the S:E scale factor (S-factor) where S, E are specific polyhedra (see BEAST modules).  

One application of the S-factor would take us to a local station stop of intermediate volume 2.5 < v < ~2.918 tetravolumes.  We locate the 12 vertices along the "rails" of a contextualizing octahedron of volume 4.

from Synergetics: an volume 4 Octahedron containing 
the ~2.92 Icosahedron and 2.5 Cuboctahedron

A question arises as to whether IVM-space and XYZ-space should be considered two different categories, given they contain identical objects and morphisms.  

We're saying they could be. 

Their isomorphism is clearly apparent, but for the difference in the volume property, which we can iron out.  The polyhedron volumes differ by a multiplicative constant.

This Synergetics Constant (S3) suggests itself as a functor in case we do want to separate these 4D and 3D spaces.  A cube of edges √2 has volume 3 in IVM world, given its R-edged cube of 1.06066... where R is the radius of any IVM ball (IVM = isotropic vector matrix = the CCP lattice when it comes to balls).

The modules themselves morph into one another, as when the A module morphs into a B module of equivalent volume.  Then of course we have φ scaling e.g ...s3, S, S3... and so on, where the S volume is (1/2)(1/φ)5.  See my Replit on the S&E modules.

Tuesday, June 13, 2023

Freedom Fighters Revisited

All this bellyaching on whether Elon Musk is being hypocritical or falling short of defending freedom of speech, because buckling to demands from the EU, Turkey and/or India, is misplaced in my view.  

The assumption is "we the USAers" are somehow not under the oppressive rule of an authoritarian self-entitled class, and our "freedom of speech" is therefore our leading export, to freedom-hungry peoples around the world.

Closer to the truth is authoritarians admire the sleight of hand tricks the USAers are likely to sucker for.  

Twitter has barely been rescued from being a tool of The District, and could easily fall back to its old ways, whereas Facebook and YouTube are still seriously in the thrall of the dictator agencies (aka NATO or whatever we call it).  

We're under the rule of authoritarians in the USA, with the ghost of democracy still haunting us.  So what's all this about Elon succumbing to pressure in foreign countries?  The battle has yet to be won here.  

It's too early to assume we have any freedoms to export.

Friday, June 09, 2023

A Memorial Day Meander (School of Tomorrow)


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