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From medieval gold leaf to Olympic gold

Monday, August 15th, 2016

[ by Charles Cameron — a voyage into nondualism via the coincidentia oppositorum ]
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Here from Dr Emily Steiner may be the widest rigorous gap-bridging DoubleQuotes I’ve ever seen:

Kudos to Anthony Ervin for his gold!

I’m not entirely sure there’s gold leaf in the image Dr Steiner uses to represent medieval manuscripts, though it certainly works for the genre as a whole, and I think I detect some gold leaf in the hearts of the flowers depicted..

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It would be foolish for me to claim to follow JL Usó-Doménech et al’s Paraconsistent Multivalued Logic and Coincidentia Oppositorum: Evaluation with Complex Numbers, but the general notions of Cardinal Nicholas of Cusa (Cusanus), “That in God opposites coincide” and “That God is beyond the coincidence of opposites” rae pretty basic (with appropriate variations) to Carl Jung‘s psychology — and to my own thinking.

Here, in Dr Steiner’s tweet, we have something that comes delightfully, playfully close to a coincidence of opposites. Indeed it is that possibility of evoking and annotating opposites in a manner than allows us to transcend them — as we could be said to transcend the two streams of vision in binocular vision, the two streams of hearing in stereophonic audition — that lies at the heart of my focus on DoubleQuoting.

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If the “new atheists” were a little more widely read, they might find themselves perplexed by the trans-logical implications of a God described thus by Cusanus:

When we attempted to see Him beyond being and not-being, we were unable to understand how He could be visible. For He is beyond everything plural, beyond every limit and all unlimitedness; He is completely everywhere and not at all anywhere; He is of every form and of no form, alike; He is completely ineffable; in all things He is all things, in nothing He is nothing, and in Him all things and nothing are Himself; He is wholly and indivisibly present in any given thing (no matter how small) and, at the same time, is present in no thing at all.

That’s a far harder concept — if it can even be called a concept — to deal with than the “seven day creator” God that is their usual mark. And yet there is no great logical space between Cusanus’ “He is completely ineffable” and the Athanasian Creed‘s ” The Father incomprehensible, the Son incomprehensible, and the Holy Spirit incomprehensible .. The Father eternal, the Son eternal, and the Holy Spirit eternal .. And yet they are not three eternals but one eternal .. As also there are not three uncreated nor three incomprehensible, but one uncreated and one incomprehensible.”

Jasper Hoskins proposes [Jasper Hopkins, A concise introduction to the philosophy of Nicholas of Cusa] that in Cusanus’ view, “no finite mind can comprehend God, since finite minds cannot conceive of what it is like for God to be altogether undifferentiated.”

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There’s an exchange in Cusanus’ Trialogus de possest (“On actualized-possibility”) in Hoskins’ op. cit.., that sets forth instructions for reading propositions about God — which also make interesting reading in terms of the flexibility ofmmind andimagination necessary for reading poetry, myth, and scriptures:

Bernard: I am uncertain whether in similar fashion we can fittingly say that God is sun or sky or man or any other such thing.

Card. Nicholas of Cusa: We must not insist upon the words. For example, suppose we say that God is sun. If, as is correct, we construe this [statement] as [a statement] about a sun which is actually all it is able to be, then we see clearly that this sun is not at all like the sensible sun. For while the sensible sun is in the East, it is not in any other part of the sky where it is able to be. [Moreover, none of the following statements are true of the sensible sun:] “It is maximal and minimal, alike, so that it is not able to be either greater or lesser”; “It is everywhere and anywhere, so that it is not able to be elsewhere than it is”; “It is all things, so that it is not able to be anything other than it is”— and so on. With all the other created things the case is simnilar. Hence is does not matter what name you give to God, provided that in the foregoing manner you mentally remove the limits with respect to its possible being.

We’re close here, to the zen notion of the finger pointing at the moon — except that here is is the moon pointing at what cannot even be located in either physical spacetime or conceptual space..

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and that’s the touch of gold in the heart of all flowers..

A rosary of glass beads for Emily Steiner

Tuesday, May 24th, 2016

[ by Charles Cameron — semantic networks as game boards, old and new — see also the series presently linked at and ending with On the felicities of graph-based game-board design: six ]
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Since I’m plaguing Emily Steiner with my thoughts on two of her recent tweets, I’d best explain first the reasons for my interest.

Game-boards-1
top left, a HipBione “WaterBird” board; right, Cath Styles‘ “Museum Game” board; lower left, an early HipBone “DoubleQuote” board; right, the “Said Symphony” board

As long time readers here will already be aware, I’m involved in the design, development and play of a family of games based on Hermann Hesse‘s conceptual Glass Bead Game, using boards that are what mathematicians would term graphs:

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Technically, our game boards in the course of play are what Margaret Masterman termed semantic networks — and Masterman herself cited one such network from an earlier century imaging the Trinity — here on the right panel — which I have reproduced in the triptych below along with a diagram of the Kabbalah, left, and of the elements by Oronce Fine, center:

3-ancient-bds2

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Which brings me to the first of two tweets Prof. Steiner posted today — the image of a head, with what is clearly a semantic network inside it — thoughts connecting with thoughts, or brain areas with brain areas, or perhaps both:

Akasha games in the mind

Viewed from the perspective of the HipBone Games, this semantic network within a brain (mind) is what the Buddha termed, somewhat reprovingly, a game played akasa, “by imagining a board in the air”.

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But the Buddhist tradition wasn’t always as, what shall I say? — puritanical about games:

Tablet DQ Monastic games

As you’ll see, the upper panel here is a bit more relaxed on the subject of games in Buddhism — while the lower panel shows another game board, this one for a medieval Christian game on the Gospels, which Dr Steiner featured in the other tweet of hers that caught my eye today.

There are four canonical Gospels, Matthew, Mark, Luke, and John, but they’re actually asymmetrical, Matthew, Mark, and Luke sharing properties and chunks of text which have conferred on them the group title of the “synoptic gospels” — while John is more symbolic, deeper, indeed mystical, and stands alone.

There’s a saying about them, Read, Mark, Learn, and Inwardly Digest. I don’t believe it’s intended to name the four pof them, but since Mark is second in order both in the saying and in the sequence of gospels found in the New Testament, I’m happy to consider John’s Gospel to be the equivalent of Inwardly Digest

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But bringing the ancients into the modern day is a laudable activity, so I’ll close by taking that Gospel game board, as I like to think of it, and compariung it with one of the boards from the recent series of games in which AlphaGo — clearly a duende or djinn of some sort — beat out our best-living Go master in a series of 5 games:

Tablet DQ Go and Gospel games

Again, symmetry and asymmetry. Is the symmetry of the Gospels game a symmetry of the Divine Mind? And is the asymmetry of the game of Go an asymmetry of the two minds in play — or simply of a game in which one player gets to make the first move?

I look forward to learning from Dr Steiner how the Gospel game was played.

Aesthetics of love & death

Friday, March 4th, 2016

[ by Charles Cameron — relics of a catacombs martyr, St Valentine and more ]
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SPEC DQ valentine catacomb martyrs

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There are times when the DoubleQuote format is confining, and the comparative method it is based on could be uswed effectively with more than two examples. Here consider also:

The Tamil Tiger martyr Jenny, as discussed in a fascinating article by anthropologist Michael Roberts aka Thuppahi, Death and Eternal Life: contrasting sensibilities in the face of corpses:

jenny-dead-ltte-female-11

The Al-Qaida martyr al-Zubayr al-Sudani as screencapped by Chris Anlazone:

al-Zubayr al-Sudani

And the Irish Catholic martyr Michael Collins as portrayed in death by Sir John Lavery:

michael_collins_by_john_lavery1

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Buddha is reported to have said:

Of all the footprints, that of the elephant is supreme. Similarly, of all mindfulness meditation, that on death is supreme.

The cover of American Poet Laureate Robert Pinsky‘s book of poems, Gulf Music, features a Tibetan Buddhist Dance of Death:

Gulf Music Pinsky

Likewise, the Jesuit St Peter Faber meditates on the crucifixion and death of Christ:

Jesus Christ, may your death be my life
and in your dying may I learn how to live.
May your struggles be my rest,
Your human weakness my courage,
Your embarrassment my honor,
Your passion my delight,
Your sadness my joy,
in your humiliation may I be exalted.
In a word, may I find all my blessings in your trials.
Amen.

while Hans Holbein invites us to contemplate death behind the varied appearances of human life:

Holbein Dance the Nun

From John Robb to Jean Paul Gaultier

Thursday, February 4th, 2016

[ by Charles Cameron — via Christopher Alexander, Arthur Koestler, James Clerk Maxwell, Hermann Hesse, and Wells Cathedral ]
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My topic today is a comment that John Robb just posted on his FaceBook page. As so often, I’ll proceed by indirection. Here’s a wild DoubleQuote illustrating a blogger’s perceived similarity between the “scissors arch” at Wells Cathedral and one of the models in Jean Paul Gaultier‘s 2009 Spring collection:

Jean-Paul Gaultier 2009 wells cathedral 1

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John Robb 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?

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My interest is in John’s pyramid, considered as a pyramid of arches.

My starting point (with Hermann Hesse‘s Glass Bead Game ever in background) is Arthur Koestler‘s observation in The Act of Creation that the creative spark occurs at the intersection of two planes of thought —

koestler

— or to put that another way, that the creative leap is an associative leap between two concepts, disciplines or aspects of knowledge — thus, an arch:

Maxwell

Likewise:

synthesis

— which in my own DoubleQuotes notation gives us:

Karman Gogh mini

— thus, many arches build to a pyramid:

pyramid of arches

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Of course, with arches one has to be very circumspect, buecause in rich contexts, they’re not simple creatures:

rib vaulting flying buttresses

Among the greatest such arches I know are Taniyama‘s 1955 “surmise” as Barry Mazur puts it, that “every elliptic equation is associated with a modular form” — arching way above my pay grade — an insight that was to bear rich fruit forty years later, in Andrew Wiles‘ proof of Fermat’s Last Theorem; and Erwin Panofsky‘s great book similarly linking the structures of medieval cathedrals and scholastic thought:

panofsky gothic architecture scholasticism

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White we’re on the topic of gothic iconography, another form of arch we might consider is the vesica piscis:

vesica-piscis

— frequently found in medieval art and architecture:

320px-CLUNY-Coffret_Christ_1

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I’m not suggesting, John, that your inquiry and mine are identical — far from it — but that they have a sufficiently rich overlap that an appreciation of one is likely to spark insight in terms of the other.

And with Hesse’s Game, with which I recall from our earlieest conversations you are familiar..

I mentioned Hesse and Christopher Alexander in my bracketed note at the top of this post. It’s my impression that both were striving for a similar encyclopedic architecture to the pyramid John proposes. Hesse on the Glass Bead Game:

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. Theoretically this instrument is capable of reproducing in the Game the entire intellectual content of the universe.

And Hesse is clear that individual moves within the games take the form of parallelisms, resemblances, analogical leaps — writing, for instance:

Beginners learned how to establish parallels, by means of the Game’s symbols, between a piece of classical music and the formula for some law of nature.

Speaking of the playing of his great Game, Hesse said:

I see wise men and poets and scholars and artists harmoniously building the hundred-gated cathedral of the mind.

And Alexander? His book A Pattern Language is pretty clearly his own variant on a Glass Bead Game, following on from what he terms his Bead Game Conjecture (1968 – p. 75 at link):

That it is possible to invent a unifying concept of structure within which all the various concepts of structure now current in different fields of art and science, can be seen from a single point of view. This conjecture is not new. In one form or another people have been wondering about it, as long as they have been wondering about structure itself; but in our world, confused and fragmented by specialisation, the conjecture takes on special significance. If our grasp of the world is to remain coherent, we need a bead game; and it is therefore vital for us to ask ourselves whether or not a bead game can be invented.

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Gentle readers:

For your consideration, delight, temptation, confusion or disagreement, here are three more of Gaultier’s arches, as perceived by Kayan’s Design World:

Jean-Paul Gaultier 2009 1

Jean-Paul Gaultier 2009 7

Jean-Paul Gaultier 2009 10

T. Greer on Ibn Khaldun’s Asabiyah

Tuesday, May 5th, 2015

[by Mark Safranski, a.k.a. “zen“]

T. Greer of Scholar’s Stage has an exemplary post comparing the philosophy of English social contract theorist Thomas Hobbes with medieval Arab historian Ibn Khaldun, who described a critical component of a functional polity – asabiyah.  You should read Greer’s post in its entirety, but here is the take away as far as strategy is concerned:

….Asabiyah, then, amounts to the feeling among those dying that they are dying for their own. As soon as they begin to feel that they are not dying for their own, but are dying for the king, or for someone else’s clan, or for some obscure institution that is not them — well, that is when asabiyah is gone and the kingdom is in danger. Civilized life shrinks the asabiyah that once united people of different lineages, tribes, and occupations until the people of a kingdom only feel a sense of loyalty to themselves, of if you are lucky, those in their immediate neighborhood or caste. But at this point the feeling they have is not reallyasabiyah at all, but the narrow self interest Hobbes would appreciate. This leaves the kingdom open to attack from the next round of nomadic tribesmen united by charismatic leaders into one indivisible asabiyah driven force. 

Although it was not his intent, I think Ibn Khaldun here answers another puzzle apparent to the careful observer of human affairs. It has oft been held that a strong enemy unites a divided people. When faced with with a foe that threatens liberty and the integrity of the realm, private disagreements ought to be put aside until victory has been declared. But it is not apparent that history actually works this way. If one must compare the rising and declining eras of history’s great empires–here I think of the Romans, the Abbasids, the Ming, the great empires of Castille and the Hapsburgs, or the Russian Empire of Tsarist fame (no doubt other examples can be found with if more thought were put to the question)–it does not seem the enemies they faced in their early days were any less powerful or cunning than the enemies that pushed them to extinction. The difference was in the empires themselves; where the wars of their birth forged nations strong and martial, the wars of their decline only opened and made raw violent internal divisions. Even destruction cannot unite a people who have lost all feeling of asabiyah. 

Ibn Khaldun believed that asabiyah declined over time. He used the analogy of the transition from fierce desert life of equality, mutual glory and conquest to the effeminacy of sedentary decadence and servility of luxurious despotism and the fall of the dynasty in four generations to explain the effect of a decayed asabiyah. Greer continues:

The concept of asabiyah is applied most easily to the distant past. One cannot read histories of the early Islamic conquests and the slow hardening of state authority in Umayyad and Abbasid times without seeing Ibn Khaldun’s cycles within it. I have alluded to many examples of these same themes in East and Central Asian history, for I have found that his theories map well to state-formation among pastoral nomads across the world, including those places Ibn Khaldun had barely heard of. Indeed, Ibn Khaldun’s “independent science” can be applied to almost any pre-modern society or conflict without undue violence to his ideas. I recently wrote that in the pre-modern world, “internal cohesion and loyalty were often the deciding factor in the vast majority of military campaigns” [23]. Ibn Khaldun provides a convincing explanation for where such cohesion came from and why it so often failed when kings and princes needed it most dearly.

There are several reasons why it is difficult to see the hand of asabiyah in the rise and decline of modern great powers. Military science has progressed in the centuries since Ibn Khaldun wrote the Muqaddimah; the drills and training seen in the militaries of our day are capable of creating a strong sense of solidarity and cohesion even when such feelings are absent in the populace at large. In that populace the nationalist fervor that accompanies mass politics has eclipsed (or perhaps, if we take asabiyah as the nucleus of nationalist feeling, perfected) asabiyah as the moving force of modern conflict. This sort of nationalism, dependent as it is on mass media and technologies unknown to Ibn Khaldun,  has a dynamic of its own that he could not have foreseen.

The most important difference between Ibn Khaldun’s world and our own, however, concern the fundamental structure of the societies in which we live. Ibn Khaldun’s was a static age where wealth was easier to seize than make. This is not the case today. For the past two centuries military power has been intertwined with economic growth and industrial capacity. No more can poor ‘Bedouins’ living beyond the pale of civilized society dethrone kings and reshape empires. In the more developed nations of the earth there is so little fear of war that both asabiyah and nationalism are sloughed off with few misgivings. 

 Despite all these differences, Ibn Khaldun did articulate principles that remain relevant despite their age.  The first and most important of these is that social cohesion should be understood as a vital element of national power. Wars are rarely won and strategies rarely made without it. A nation need not be engaged in existential conflict to benefit from strong asabiyah. Absent solidarity, internal controversies absorb the attention of statesmen and internal divisions derail all attempts to craft coherent policy. Strategic malaise is one byproduct of a community deficient in asabiyah. 

Agreed.  In particular, it is difficult for foreigners to provide another society with an asabiyah that it lacks in order to fight and win counterinsurgency wars. You go to war with the asabiyah that you have and that has been a problem for Americans in places like South Vietnam and Afghanistan.

I’m not sure though that it is impossible to regenerate decaying or dying asabiyah if it can be built upon new myths that are harmonious with old ones, disguising innovations as fidelity to cherished values. The Meiji Restoration is the classic successful example of national revolution being presented as a reactionary movement to return to tradition, toppling the worn-out Shogunate and”restoring” a High Priest- Emperor whose ceremonial figurehead predecessors had not ruled Japan in eight hundred years, if ever at all.  There are also darker historical examples and we are seeing one play out now in the Mideast in the form of the ISIS “Caliphate”.

This kind of attempt to breathe new life into an eroding asabiyah operates at the moral level above strategy that John Boyd termed a “Theme of Vitality and Growth” and it can unlock atavistic passions and be extremely attractive. Simultaneously creative and destructive, society is suddenly remade – not as a plowshare, but as a sword in a strong hand.


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