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GBG: another form of associative linkage

Friday, January 11th, 2019

[ by Charles Cameron — a meander to ponder, wonder, wander, a maze to amaze, or as CS Peirce might say, a muse to amuse, an amuse-bouche ]
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Here’s a quick, long run-down of my HipBone games, where they came from, and where they’ll be going if book and online game plans come together.

My various HipBone and related games are intended as playable variants on Hermann Hesse‘s great Glass Bead Game (GBG for short).

You remember this?

As I said before:

I don’t know how Theodor von Kármán came by his Vortex Street, and I’ve spent a decade in Pasadena wandering its streets and even picked up his four volume works — signed — at a CalTech book sale — but if he had the Van Gogh painting in the back of his mind, there’s the beginning, the seed of an awesome leap.

And you might say van Gogh made a mighty leap, pre-intuiting the von Kármán pattern in the night sky..

This DoubleQuote is my favorite move in the game that has obsessed me for the last thirty or so years, the Glass Bead Game as described in Hermann Hesse in his Nobel-winning novel of the same name.

Linking arts and sciences as it does, I see it as a move at the nave roof-apex of what Hesse describes as the “hundred-gated cathedral of mind”.

The essence of a move in Hesse‘s game is associative linkage.

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I’m using this post as something of a primer on my game thinking, before proposing a recent instance of a type of associative leap / example of a game move.

**

There are many fairly basic types of associative linkage that provide the connextive tissue between the items in an ontology:

  • this is the same as that
  • this causes that
  • this is the opposite of that
  • this symbolices that
  • this is above that
  • this is inside that
  • this is the parent of that
  • this follows that
  • this governs that
  • this proves that
  • **

    Getting more complex and multi-layered, John Robb once posted:

    Some philosophical thinking:

  • Human knowledge, at an elemental level, can be described as a “transformation” of data.
  • Complex ideas are built using layers of “transformations” with each layer feeding into the next (think pyramid)
  • We teach these transformations at home and at school to our children.
  • We communicate by sharing transformations.
  • Questions We Need to Answer in the Age of Cognitive Machines:

  • How many transformations would it take to model all human knowledge?
  • How deep (how many layers of transformation is human knowledge) is human knowledge? Both on average or at its deepest point?
  • How broad is human knowledge (non-dependent transformations)?
  • How fast is the number of transformations increasing and how fast is it propagating across the human network?
  • **

    From a process orientation, it’s pretty clear that the fundamental way in which most associative leaps occur to human minds takes the form:

  • this reminds me of that
  • — and that holds true even of conspicuous creative leaps not just out of the box but into the unknown — as when Yutaka Taniyama proposed his hypothesis that there exists a correspondence between elliptic curves and modular forms in 1955. Andrew Wiles eventually proved the linkage in what is now known as the Modularity theorem, as the key part of his proof of Fermat’s Last Theorem in 1993 [don’t ask me to explain, I’m not a mathematician]

    **

    Creative leaps are in general the basis of much “opening of fields” both in the arts and sciences, as described by Arthur Koestler in his Act of Creation:

    and elaborated by Douglas Hofstadter in eg his Fluid Concepts and Creative Analogies and Surfaces and Essences: Analogy as the Fuel and Fire of Thinking, and at a depth of penetration equivalent to Robb’s questions above, by Fauconnier and Turner in The Way We Think: Conceptual Blending And The Mind’s Hidden Complexities..

    **

    Level on level, the structure of a gothic cathedral is arch building on arch (forgive my Spanish):

    Erwin Panofky‘s masterwork, Gothic Architecture and Scholasticism, argues for a common mental structure explaining the simultaneous occurrence of Gothic cathedral architecture and the scholastic argumentation characteristic of Peter Abelard and Thomas Aquinas..

    **

    The music of Hesse’s cathedral?

    All the insights, noble thoughts, and works of art that the human race has produced in its creative eras, all that subsequent periods of scholarly study have reduced to concepts and converted into intellectual values the Glass Bead Game player plays like the organist on an organ. And this organ has attained an almost unimaginable perfection; its manuals and pedals range over the entire intellectual cosmos; its stops are almost beyond number.

    And the game’s ultimate destination – besides the creation of an overarching synthesis uniting sciences and arts, great leaps of discovery and profound flights of imagination?

    Every transition from major to minor in a sonata, every transformation of a myth or a religious cult, every classical or artistic formulation was, I realized in that flashing moment, if seen with a truly meditative mind, nothing but a direct route into the interior of the cosmic mystery, where in the alternation between inhaling and exhaling, between heaven and earth, between Yin and Yang, holiness is forever being created.

    In the coincidence of opposites — the buttressed left side of the cathedral’s gothic arch leaning into, against and with the buttressed right side, culminating in the high vaulting that characterizes the nave — transcendence of the physical in the spiritual..

    **

    An aside:

    Okay, very quickly, one associative link that jumped out at one poster recently after the Democratic response to Trump’s resolute desk address was the similarity between Schumer and Pelosi‘s stilted appearance, standing shoulder to shoulder at a single podium [left], and — returning to our theme of gothic as in a fugue — the celebrated painting titled American Gothic [composite, right] —

    That’s a “haha!” (comedic, laughter) rather than an “aha!” (creative, excitement) or “aah!” (tragedic, tears) explosion, to return to Arthur Koestler’s notion of bisociation and its various types and expressions.

    But that’s just fun, and will quickly become dated.. that’s an aside.

    **

    A new category of linkage:

    More seriously, I’d like to suggest that one faascinating type of linkage, close kin to “this is similar to that” is the category of mistake:

  • this is, has been, or can be mistaken for that
  • My example here is the weird sonic effect that seems to have physically hurt American diplomats and other embassy employees in Cuba, and confused national security analysts —

    That headline was taken from an article dated December 12, 2018, less than a month ago at time of writing. Doctors called in to examine embassy workers were flummoxed:

    The patients complained of intense ear pain, hearing loss, headaches, dizziness and difficulty with balance, as well as increased anxiety and irritability, doctors found, but who or what caused the damage is still unknown.

    From The Atlantic:

    Various parties argued that the strange noise was the result of a sonic weapon, a microwave attack, or malfunctioning eavesdropping equipment.

    And back to ABC:

    “The possible sources and the medical findings we have here do not have a quick or easy solution,” said Dr. Carey Balaban, a professor of otolaryngology at the University of Pittsburgh School of Medicine who contributed to the study. “I wish someone could tell us that right now. I wish we’d have that.”

    Damn commie Cubans!

    The thing is, otolaryngologists and high-tech security experts were the wrong people to solve the problem. Whenentomologists listened to a recording of the sound, they recognizedd it —

    as the mating call of Anurogryllus celerinictus, the Indies short-tailed cricket.

  • the cricket’s call has been mistaken for a devious commie attack on American diplomats
  • **

    Very briefly, then, to wrap up, since the idea is to link one concept to another, I use graphs as my game boards, assigning the concepts (images, quotes, clips &c) to numbered positions (nodes) on the boards, with the lines between them (edges) representing their associative links, which can be spelled out in however much detail a given game requires:.

    top left, the standard WaterBird board; top right, a board from the Sembl game as played on iPads in the National Museum of Australia; lower left, the Doublequote board, for direct comparison of two concepts / images; lower right, the Said Symphony board, for us in “aymphonic” games.

    The idea of conceptual graphs precedes Margaret Masterman by centuries:

    Left, the Sephirotic Tree of classical Kabbalah; middle: Oronce Fine’s diagram of the elements and humors; right: a medieval Trinitarian diagram

    And as a grace note — my two now ancient pages on Masterman, Boole and that Trinitarian diagram are still a quiet delight for scholars of conceptual graphs and the like. Masterman really was an unsung genius, and her curious and vastlky erudite paper Theism as a Scientific Hypothesis proves it..

    I wonder when AlphaZero will be playing a game like this:

  • HipBone, What sacred games shall we have to invent
  • Punch counter punch

    Sunday, November 25th, 2018

    [ by Charles Cameron — a perfect two-snake pattern from the WaPo headline writers ]
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    As patterns go, this one is hard to beat:

    Source:

  • Washington Post, John Roberts counterpunches the counterpunching president
  • **

    As you may have gathered, the human propensity for patterning is an enduring interest of mine, and my collecting of such things as ouroboroi, parallelisms, paradoxes, moebius formats and mirrorings is effectively a small pattern language study after the example of Christopher Alexander‘s Pattern Language. Mine, drawing its materials from verbal and visual exemplars rather than architectural ones, perhaps reveals more about the workings of the human mind, aka consciousness.

    The “outer world” has yet to catch up with the significance of these studies..

    **

    At a time when my worldly goods in book form consisted of fifty or so over-thumbed, used science fiction paperbacks and one hardback — I no longer recall what it was — I won a minor poetry prize of $50 and decided it was better to splurge it on one thing I’d really treasure than to dribble it away, a coffee here, a sandwich there.. much though I like my coffees.

    Henbce, for about $45, I aacquired my copy of Alexander’s book — hardback #2!

    An I Ching for the West! Nobel-worthy! A Master’s Masterpiece!

    A counterpoint in buildings, statues, ideas

    Monday, June 26th, 2017

    [ by Charles Cameron — Dylann Roof’s trial, the New Yorker, and the scorable music of opposing voices ]
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    On the way to taking us Inside the Trial of Dylann Roof, Jelani Cobb makes an observation that interests me, describing the architectural features surrounding the trial asa point-counter-point in ideas:

    Mother Emanuel, as the church is known, traces its roots to 1816. It was a center of clandestine anti-slavery activity and, in 1822, when city officials discovered that congregants were planning a slave revolt, they burned the church to the ground. The current building was erected in 1891, on Calhoun Street, named for Vice-President John C. Calhoun, the intellectual progenitor of secession. The Calhoun monument, a column eighty feet high, topped by a statue of the statesman, is half a block away. The monument and the church, which came to play a central role in the Southern civil-rights movement, stand like a statement and its rebuttal.

    Counterpooint — the musical technique whereby two or more melodies are juxtaposed, now clashing, now harmonizing, but with their melodic integrity uncompromised — is a technique which I believe has application beyond music, in verbal thought.

    **

    Different voices, offering different opinions and perspectives — now clashing, now harmonizing, but with their conceptual integrity uncompromised — are precisely what we find at the heart of all debate, from town hall meetings and parliamentary procedues to maritalspats and the conversations of genius — the letters of Max Born and Albert Einstein come to mind, as does the film My Dinner with Andre.

    My gambit, borrowing from the brilliant game that lies at the heart of Hermann Hesse‘s novel The Glass Bead Game, is to suggest that we take Johann Sebastian Bach‘s use of melodic counterpoint and adapt it to its conceptual equivalent — thus opening the way to (a) thinking many contrasting thoughts as a single conceptual music, and (b) developing fresh means to score such a polyphony — or multitude of voices.

    Essentially, the ability to think in counterpoint is the ability to hold in mind another voice beside one’s own — the capacity, if you will, to listen as well as to think. Seen thus, it is the basic skill necessary for us to make progress away from the terrible divisiveness of our times, and into a more convivial and ecumenical future.

    **

    I watched my son come into this world and I watched my son leave this world.

    This sentence, uttered by the other of one of Roof’s victims, gains power from its closely observed parallelism between birth and death, womb and tomb.

    **

    Forgiveness as a consequence iof counterpoint:

    The Civil War began in Charleston. The Ordinance of Secession was signed in Institute Hall, on Meeting Street, in December, 1860; the first shots were fired at Fort Sumter, in the harbor, a few months later. The reaction of many Charlestonians to the extraordinary moment, at a bond hearing the day after Roof’s arrest, when, one by one, family members stood and forgave him, was an outgrowth of the city’s relationship to that past. Forgiveness was not just an example of how to metabolize hatred directed at you, or just a demonstration of Christian faith, though it was both of those things. It stood for a broader redemption, an exoneration from history itself.

    **

    A counterpoint in statuary:

    Herb Frazier, a black journalist who grew up in the city and has attended Emanuel since childhood, told me that black Charlestonians have always hated the Calhoun monument. “He looks down with this scowl on his face,” he said. Then, in 1999, Charleston’s Holocaust Memorial was erected just fifty feet from the base of Calhoun’s column. That proximity suggests either a wishful denial of Calhoun’s legacy or a level of irony not typically found among municipal planners.

    **

    A counterpoint of races and ethical stances:

    Those moral calculations, as with everything else associated with the case, were refracted through the lens of race. In a statewide poll, two-thirds of African-Americans favored sentencing Roof to life in prison, while sixty-four per cent of whites believed that the death penalty was warranted. That result mirrored the general division between blacks and whites on the issue of capital punishment, which is driven, at least in part, by the fact that it has disproportionately been used against black defendants.

    ^^

    A counterpoint in colors and sentences:

    For David Bruck, Roof’s case represented another chance to address the unjust imposition of the death penalty. At certain moments in the trial, though, his belief that he could diminish a racist practice by saving the life of a white supremacist appeared idealistic to a fault. During his cross-examination of Joseph Hamski, the F.B.I.’s lead investigator in the case, Bruck asked, “What became of Denmark Vesey?” Vesey, a slave who had bought his freedom and become a carpenter, was the lead plotter of the 1822 revolt at the church. “He was hung,” Hamski replied. Bruck was suggesting that the death penalty is irrevocably tainted by racism, but he had seemed to equate Vesey, a man who was prepared to kill for the cause of black freedom, with Roof, a man who had killed because he thought that blacks were too free. The families murmured uneasily at the comparison.

    **

    Black and white, crime and punishment, death penalty and life sentence, good and evil, forgiveness and justice, even Union and Confederacy — these binaries rise in counterpoint in the trial and sentencing of Dylann Roof.. offering us a mappable display of cognitions past and present, normative and extreme.

    “KarlreMarks” Sharro moves on

    Wednesday, March 1st, 2017

    [ by Charles Cameron — from Abu A and Abu B to Steve and Donnie ]
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    Karl Sharro is a Middle Eastern architect and satirist based in London, whose two modes of “simply” explaining the Middle East I presented a while back. His third view envisions ISIS as a board game, and asks Who can devise the most convoluted way to wipe out the Islamic State?

    **

    Anyway, KarlreMarx has two jihadist ezxtremists he’s been tracking for some while — Abu A and Abu B:

    Outside Sharro’s fevered imagination, ISIS does indeed have an air force — of weaponized drones.

    Suicide? No, martydom — and individual ISIS members are as expendable as their goals are lofty:

    Sometimes, to be honest, those goals make little sense..

    — and besides, eclipses are signs of impending apocalypse..

    **

    Time rolls on, however — and Sharro has shifted his target. As he put it in a tweet today, “I decided to retire Abu A and Abu B and replace them with another radicalised pair”:

    Steve and Donnie — two’s company.

    We shall see what we shall see..

    Downward Spiral as a pattern in conflict — do we study it?

    Friday, October 21st, 2016

    [ by Charles Cameron — a thoroughly impertinent riff on that saying of von Moltke ]
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    Hw many places could this sentence be applied to?

    But the latest attacks, which appear to have been several months in the preparation, threaten to draw the entire population into a downward spiral of deadly confrontations, violent crackdowns by the security forces and toxic relations between local communities and the authorities.

    It happens to come from an article about the Rohingya, Richard Horsey‘s Reality bites for Aung San Suu Kyi amid surging violence from the Nikkei Asian Review.

    But how many other places might such a sentence apply to?

    I ask this because we tend to focus on certain words in a sentence like this: attacks, preparation, threat, population, deadly confrontations, violent crackdowns, security forces, local communities, the authorities. Those are the forces in play, if you will. But their play follows the rules of a certain game, and that game is also named in the sentence.

    Its name is downward spiral.

    **

    vatican-spiralSpiral staircase, the Vatican, Rome

    **

    What I want to suggests that we might learn a great deal if we shifted our attention from attacks, preparation, threat, population and the rest, and thought about spiral.

    Spiral is the form that the attacks, preparation, threat, population and the rest — here and in those other places — takes, and as such it’s an archetype that underlies them, not just among the Rohingya, their Buddhist compatriots and Aung San Suu Kyi, but across the globe and through time itself.

    Spiral as a pattern in conflict — do we study it?

    **

    If, as I suppose, von Moltke can be translated as saying, “no operating concept survives contact,” it would seem we may need to conceptualize contact, ie the complexity of relations, rather than operations, which are far more focused on us — how we “will prevent conflict, shape security environments, and win wars” — than on conflict and wars, both of which are minimally two-party affairs.

    And I’m not trying to say anything so terribly new here, just to give fresh phrasing to Paul Van Riper‘s comment:

    What we tend to do is look toward the enemy. We’re only looking one way: from us to them. But the good commanders take two other views. They mentally move forward and look back to themselves. They look from the enemy back to the friendly, and they try to imagine how the enemy might attack them. The third is to get a bird’s-eye view, a top-down view, where you take the whole scene in. The amateur looks one way; the professional looks at least three different ways.

    **

    sintra-castle-spiral-credit-joe-daniel-price-740x492Quinta da Regaleira, Sintra, Portugal, credit Joe Daniel Price

    **

    The sentence immediately preceding the one from the Nikkei Asia article I quoted above will hopefully illuminate hope in a pretty desperate situation:

    The majority of this community and its religious leaders continue to eschew violence.

    **

    Image sources:

  • Both spiral images from the Top 10 Spiral Architecture page

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