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Cross-grain thinking, 1: Mozart and how music reaches us

Thursday, November 1st, 2012

[ by Charles Cameron — tracking a single pattern back and forth across the Cartesian divide between “inner” (subjective) and “outer” (objective) realities, and why ]
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From God’s lips, figuratively speaking — via Mozart‘s mind and hand onto paper and out to musicians’ eyes and into their minds, then back out through their lips and hands and instruments and air — to your ears, and beyond? One pattern across a variety media.

We study Mozart’s biography. We study the “chunking” techniques a pianist typically uses to become proficient. My friend Wm. Benzon writes about how the brain’s oscillatory circuits can be internally synchronized through sonic activity and much more. We study how musical tastes correlate with education, or wealth, or class. What we don’t study nearly so intently, it seems to me, is the entire sequence by which a musical pattern makes its way from a composer’s initial thought to a listener’s delighted experience.

And what makes me want to talk about that is my sense that it requires thinking across the grain — across disciplines, across silos, across assumptions and languages and expectations.

It helps that I love Mozart. And I’m interested in the way patterns work. And perhaps most significantly, I believe that analytic mapping that doesn’t concern itself with both “inward” subjective experience, thought and emotions as well as “outer” realities, people, processes, and so forth will have us firing on only 50% of our cylinders at best. As I said in an earlier post on Anders Breivik:

A lot of our maps and models move between one quantity and another, and a lot of our thinking, correspondingly, has to do with materiel rather than morale — but nowhere is there a map or model of how quantity and quality affect each other, or how morale “force multiplies” materiel — even though “real life” moves seamlessly between (subjective, qualitative) mind and (objective, quantifiable) brain.

We have no map to walk us through the hard problem in consciousness — except our own insight.

And x-rays do not an insight make.

Let’s simply call this an early attempt to think about a stretch of the border between subjective and objective worlds, taking Mozart — a reasonably innocuous subject compared with Breivik — to start with.

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There’s a phrase of music in Mozart’s head: it is a pattern – we shall see it later as a pattern in ink on paper, a pattern in keys depressed on a keyboard, on strings struck and vibrating, as a pattern in acoustic waves in air and a pattern of impacts on the ear drum, then of electrochemical activity in the brain, of “Mozart” in the mind – and perhaps in a tapping of the feet on the floor, and from thence, onwards…

Perhaps Mozart got it, this pattern, consciously or unconsciously, from the starling he wrote a poem to, and gave a burial to when it died [1, 2] … No doubt something of that pattern would have been in the starling’s brain as its throat muscles moved, and in the air that moved and he sang…

**

Something goes on with this pattern “inside” Mozart, and he composes, which is itself a hugely complex business involving various parts of his brain — and mind? Just brain, or brain and mind, or mind-brain? That’s the “hard question in consciousness” right there, and it applies as much to the starling, and the eventual listener, as it does to Mozart…

That “something” going on inside him has been variously described, in any case, and the historian William Stafford has written an enlightening piece comparing the myth of Mozart’s genius (Mozart himself used the term a couple of times in the classic sense of an intuitive guide, much as Socrates too would use the term) with the practicalities of musical skill and concentration.

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Thus there is undoubtedly a romantic “Mozart the genius” slant to the account given by Mozart’s earliest biographer who, working with Mozart’s widow, described his process of composition in these terms:

Mozart wrote everything with a facility and rapidity, which perhaps at first sight could appear as carelessness or haste; and while writing he never came to the klavier. His imagination presented the whole work, when it came to him, clearly and vividly.

This idea is even more vividly expressed in the letter, purported to be Mozart’s own words but now widely considered a later effort by the publicist Friedrich Rochlitz and “attributed” to Mozart himself in the spirit of the times:

When I am, as it were, completely myself, entirely alone, and of good cheer — say, travelling in a carriage, or walking after a good meal, or during the night when I cannot sleep; it is on such occasions that my ideas flow best and most abundantly. Whence and how they come, I know not; nor can I force them. Those ideas that please me I retain in memory, and am accustomed, as I have been told, to hum them to myself. If I continue in this way, it soon occurs to me how I may turn this or that morsel to account, so as to make a good dish of it, that is to say, agreeably to the rules of counterpoint, to the peculiarities of the various instruments, etc.

All this fires my soul, and, provided I am not disturbed, my subject enlarges itself, becomes methodised and defined, and the whole, though it be long, stands almost complete and finished in my mind, so that I can survey it, like a fine picture or a beautiful statue, at a glance. Nor do I hear in my imagination the parts successively, but I hear them, as it were, all at once (gleich alles zusammen). What a delight this is I cannot tell! All this inventing, this producing, takes place in a pleasing lively dream. Still the actual hearing of the tout ensemble is after all the best. What has been thus produced I do not easily forget, and this is perhaps the best gift I have my Divine Maker to thank for.

When I proceed to write down my ideas, I take out of the bag of my memory, if I may use that phrase, what has been previously collected into it in the way I have mentioned. For this reason the committing to paper is done quickly enough, for everything is, as I said before, already finished; and it rarely differs on paper from what it was in my imagination…

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In start contrast to this romantic picture, Stafford himself writes in his paper Mozart and Genius, and more briefly in his essay in the Cambridge Mozart Encyclopedia:

We must suspect a large element of myth-making in all of this, a construction of Mozart and his life in accordance with preconceived ideas.

and:

The real Mozart expressed pride in his craft, in the compositional skills he had learned from other musicians and taken to a high level. Much recent scholarship has emphasized the relationship of his creativity to his social milieu. In place of an unreflective genius who composed in a dream, it has given us, as in Konrad Kuster’s recent biography, a musician of the highest technical competence for whom composition presented a series of intellectual and aesthetic challenges that could only be surmounted with considerable effort.

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I suspect that Stafford, too, is giving us his “construction of Mozart and his life in accordance with preconceived ideas”.

To my mind, it’s just that our own contemporary preconceptions have shifted the emphasis from the “inspiration” to the “perspiration” factor in understanding great works and the exceptional minds and mind-sets that produce them. In my view, both accounts have something to offer us – that what we retrospectively term “genius” happens when a prepared mind (meaning Stafford’s “compositional skills” and so forth) lets go of its controlling urgency, and a deeper, richer mind emerges — an emergence which takes places classically in reverie (Gaston Bachelard) or after some similar disengagement of the active will, from whence we get the phrase “let me sleep on it” in response to the posing of a tricky problem or dilemma

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But the pattern.

No doubt there are a thousand ways in which Mozart differs from Beethoven, Beethoven from El Greco, El Greco from Einstein, Wittengenstein from Heraclitus, and Heraclitus from the Heraclitus who stepped into “the same river” a while ago…

What seems to be more stable is the pattern that Mozart wove, as it traveled from the throat of his starling through the intricacies of his own knowledge and practices, his friendships and tastes, his needs and longings and out onto paper, to a pianist or orchestra, and through instruments and voices into concert halls and magnetic wave forms and curious spirals engraved on discs, into sub-woofers and tweeters and full-range drivers..

And into our minds and hearts, our memories – our quiet hummings to ourselves on long autumn drives between motels.

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I think we should track that pattern, know as much as we can of that pattern, write the biography of the way in which some piece of music weaves between inspiration and thought, composer and instrument, mind and matter, performer and audience, studio and home digital music center…

Then, perhaps, we could begin to map other patterns – in some ways simpler and more urgent ones.

Coming up shortly: Cross-grain thinking, 2: AQ’s #3 spot and mapping the jihadist mind. One thing you can be sure of: it will be different.

Of hot spots and feedback loops

Friday, October 26th, 2012

[ by Charles Cameron — with a pinch of humility which, if you ask me, burns hotter than any pepper ]
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Micah Zenko at the Council on Foreign Relations‘ Politics, Power, and Preventive Action blog raised a question yesterday that I found irresistible:

Well…

To be more exact, and exercise just a little humility, the question I found so exciting was really the one Crispin Burke posed, in a tweet pointing to Zenko’s piece:

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So I read Zenko’s post with Burke’s term “hot spot” in the back of my head, and when I responded to Zenko, did so in terms of hot spots. Which because they’re like the celebrated “dots” we’re often told we’ve failed to connect, triggered some thoughts that I think are worth repeating, even if the phrasing is a little off from Zenko’s own.

And the only real benefit I can see from my carrying Burke’s “hot spots” over into Zenko’s post is that it raised the issue of peppers, which adds a little spice to my response, and gave me a great graphic to go at the top of this post.

Okay, here’s the key sentence that frames Zenko’s post:

If you ask ten forecasters to predict the next conflict, you’ll likely get ten very different answers. But, they will agree on one thing: it is impossible to know for sure where and when the next conflict will emerge.

Zenko may not mention hot spots as such, but already two things stand out for me: he uses the words “where and when” and “the next” — so he’s thinking in geographic terms and short timelines. In his title, he asks about 2013, which is almost in the greetings card section of my local Safeway by now. And he sees trouble in terms of places, not systems.

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Here’s the response I posted at his CFR blog:

A given hot spot may only be hot when coupled with another spot in a feedback loop – and the two spots may be widely separated geographically.

To my way of thinking, an assessment of incipient troubles needs to look for feedback loops, blowback systems, echo chambers – all of them patterned phenomena that are likely to feature both sides of a potential or ongoing conflict from a systems analytic point of view. A microphone isn’t a hot spot, a loudspeaker isn’t a hot spot, but put the two of them in the same acoustic system and you can generate an ear-shattering howl…

I’d look at “strong” versions of Islamophobic rhetoric and “strong” versions of Islamist rhetoric as a single system transglobally, for example, and I’d want to figure out what would cause dampening effects on both sides.

Another tack I’d take is to ask questions like “what’s in our blind spots” and “what’s under the radar” – I vividly recall hearing Ali Allawi tell a session at the Jamestown Foundation that within Iraq, “most of the dissident Shi’a movements not within the ambit of the political process have very strong Madhist tendencies” and that they were “flying under our radar” — despite the fact that US forces had been involved in a major battle with one such group outside Najaf.

I’ll post a more extended response on Zenpundit – but for now, I’d just like to throw in one additional question: is there a Scoville Scale for the “hotness of spots” as there is for peppers? It’s hard to know how to think through potential vulnerabilities without some sense of both intensity and probability of risk…

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Forget Scoville and his habaneros — let’s get to the meat and potatoes.

I’ll be straightforward about this. I suspect we’re doing our intelligence analysis and decision-making with only one cerebral hemisphere fully functioning — ie with only half a brain — like halfwits one might almost say, but in a strictly metaphorical manner — without benefit of corpus callosum.

We don’t have the leaf > twig > branch > limb > tree > forest > watershed > continent > world zoom down yet.

We don’t think in systems, we think in data points.

Blecch, or d’oh! — your choice.

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So my questions — and I don’t claim by any means to have an exhaustive list, that’s why we have many and varied bright people instead of just one or two — would be along the lines of:

  • how many kinds of metaphorical dry kindling are there in the world, which could turn into metaphorical wildfires?
  • and what sorts of metaphorical sparks could trigger them?
  • where are the rumblings?
  • what are the undercurrents of strong emotion running in different sociological slices of the world, that can be discerned from open sources such as the comments sections of online news media, conspiracy sites, religious group and subgroup (sect/cult) teachings, eccentric political movements, strands of pop culture — fanfic, comics, graffiti — single issue blocs?
  • where are the feedback loops, the parallelisms and oppositions, the halls of mirrors, the paradoxes, the koans, the antitheses, the conceptual antipodes?
  • where does energy drain from the system, and where does it collect, pool, and stagnate?
  • and perhaps most of all, what do we do, ourselves, wittingly or unwittingly, that tends to irritate others enough that they do unto us?
  • and do we consciously want to keep doing those things, and the blowback be damned?
  • **

    Where do we go from here. I think Zen (the Zen of Zenpundit, not the Zen of Zenko in this case) is right: we need to cross-weave our “vertical thinking” tendencies with “horizontal thinking” — see Zen’s posts on understanding cognition 1 and 2, which I take to be foundational for this blog.

    It’s the horizontal part that I’m trying to develop here, in my series of posts under the rubric of “form is insight” — because I think we have the other half of the equation, or the other cerebral hemisphere if you prefer, fairly well in hand.

    As always, it’s our vulnerabilities, dependencies, deficits and blind-spots we should be paying most attention to.

    Prophecy, Poetry and Prediction

    Tuesday, July 17th, 2012

    [ by Charles Cameron — personal preference, gangs, Chicago, insurgency, Afghanistan, and admitting the uncomfortable ]
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    Albrecht Durer, The Blessed Virgin enthroned on the crescent moon

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    Poetry, on the whole, has a liking for prophets. Thus Sylvia Plath writes:

    By the roots of my hair some god got hold of me.
    I sizzled in his blue volts like a desert prophet.

    There’s an undeniable affinity there, the sense of giving voice to a lightning strike. Or as Randall Jarrell puts it:

    A good poet is someone who manages, in a lifetime of standing out in thunderstorms, to be struck by lightning five or six times; a dozen or two dozen times and he is great.

    **

    Okay. I’m a poet, I think, partly because I have such a damnably literal mind that I need to break out in metaphor the way athletes break out in a sweat.

    And the trouble with prophecy, from my point of view, is that it’s all too often read in damnably literal-minded ways, as though:

    And there appeared a great wonder in heaven; a woman clothed with the sun, and the moon under her feet, and upon her head a crown of twelve stars

    wasn’t clearly poetry. Let me clarify: it is.

    And it is because prophecy (not “false prophecy”) is all too often read literally that the end of the world is so regularly promised, without once having come to pass thus far.

    Even though the scriptures proclaim, But of that day and hour knoweth no man, no, not the angels of heaven

    **

    I suppose it goes along with being a poet rather than a statistician that I’m far more interested in qualitative than in quantitative approaches to modeling — or understanding, as we used to call it.

    There are times, though, when it’s advisable to acknowledge the approaches most different from one’s own — for they too have their moments.

    **

    A Reporter’s Notebook entry yesterday on Fox News titled Chicago gang database intends to predict and prevent further violence tells us “One shooting sets the next shooting in motion.” That’s poignant even if a tad banal. But what comes next is interesting:

    In an attempt to predict the next violent act, Chicago police are turning to technology. They have established a database that includes information on more than 100,000 known gang members. Even the lowest members of the gangs are entered as soon as police become aware of them. Their arrest records and affiliations are all entered and cross-referenced and available to the cop on the street. This is the kind of information a good beat cop would keep in his head; now it’s available to every cop on every beat. Sgt. Tom Ryan is in the gang unit on the South Side. “This is just a great way that we can look at all the information gathered because it is hard for the detectives to talk to all the different units. This is a good way of filtering down data through the departments to each other.

    Probably of greatest use to the officers, when a guy gets shot, police see who his buddies are. “We can make predictions about where retaliations might be likely to happen,” says Commander Jonathan Lewin.

    **

    And I bring this to your attention because today I ran across an article in Wired’s Danger Room with the headline Study: WikiLeaked Data Can Predict Insurgent Attacks which resonated with yesterday’s Chicago gang report:

    Insurgencies are amongst the hardest conflicts to predict. Insurgents can be loosely organized, split into factions, and strike from out of nowhere. But now researchers have demonstrated that with enough data, you might actually predict where insurgent violence will strike next. The results, though, don’t look good for the U.S.-led war.

    And they’re also laden with irony. The data the researchers used was purloined by WikiLeaks, which the Pentagon has tried to suppress. And the Pentagon has struggled for years to develop its own prediction tools.

    That data would be the “Afghan War Diary,” a record of 77,000 military logs dated between 2004 and 2009 that were spilled onto the internet two years ago by WikiLeaks. In a paper published Monday by the Proceedings of the National Academy of Sciences, a team of researchers used the leaked logs to (mostly) accurately predict violence levels in Afghanistan for the year 2010. (Behind a paywall, alas, but a summary is available for free in .pdf.)

    **

    I’m focused on minds and hearts, as the saying goes — but I’ll admit that mines and HK417s are also significant.

    If the quant side of the house can reduce casualties, I’m all for that.

    Omar Hammami and the rightness of Marisa Urgo

    Saturday, June 2nd, 2012

    [ by Charles Cameron — Hammami, Awlaki, RAND, Marisa Urgo and a theology of risk ]
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    Omar Hammami, also known as Abu Mansoor Al-Amriki, is a young American from Alabama who joined Al-Shabaab in Somalia around 2007. Blogfriend JM Berger of Intelwire recently commented:

    Omar Hammami would like you to think he’s the next Anwar Awlaki.

    Among the reasons Berger gives: Hammami, like al-Awlaki, seems to like quoting RAND analyses of jihadist thinking. Case in point: in his most recent video, Hammami quotes the RAND report, Beyond al-Qaeda: Part 1, The Global Jihadist Movement MG-429.

    I want to take a look at what Hammami chooses to quote, what he has to say about it, and what conclusions we may derive.
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    Hammami quotes RAND:

    Hammami goes directly to the Conclusion: New Approaches to Combating the Global Jihadist Movement, which begins on page 159, and zeroes straight in:

    From the analysis in this report, it is clear that ideology is the center of gravity of the global jihadist phenomenon.

    Hammami’s primary concern is with this idea, which he specifically couples with the “decapitation” of those who can propagate the ideology — bin Laden and al-Awlaki are his examples here. Having made this point, and spoken briefly about the connection between global and local jihads, he continues with his RAND quotation, again focusing on the centrality of ideology:

    The war on terror at its most fundamental level goes to the war of ideas. The goal is to deny extremists the high ground of Islamic politico-religious discourse, which has been adroitly exploited by al-Qaeda to further the appeal of its own radical and absolutist rhetoric.

    He goes on to quote:

    Although it is inherently difficult for outsiders to attack an ideology, the ideological approach has weaknesses that are susceptible to exploitation.

    And again — I’ve skipped some more detail — he quotes:

    Some analysts also note that the jihadist movement is sensitive to religious ideology to the point of vulnerability. Combatants are replaceable, but theologically trained sheikhs are not. Decapitation strategies should be expanded from operational leaders to ideologues. These ideologues are often asked to provide sanction for terrorist operations and are therefore a key part of terrorists’ decision making process. Preventing al-Qaeda’s ideological mentors from continuing to provide theological justification for terrorism could expedite the movement’s ideological deterioration.

    Okay, those are the parts of the RAND analysis that Hammami wants to emphasize, and to sum up, he’s concerned with the centrality of the AQ “ideology” (RAND’s term) and with the “theologically trained sheikhs” who are its irreplaceable transmitters.
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    Hammami comments:

    Hammami’s own comments deserve some notice, too — he clearly thinks the RAND authors are onto some key points, and his endorsement adds to the credibility of the RAND analysis.

    He says:

    I believe that these kuffar, despite being from amongst the most misguided of creation, have actually put their finger on something that is extremely beneficial for us to ponder. This important idea that I am referring to here is found in the beginning of the long quote I just read to you all … The authors of this RAND research stated that the ideology of al-Qaida is in reality its center of gravity…

    He goes on to say:

    Now from my perspective, I’d like to say that irrespective of what these kuffar have to say, from my own personal deductions, I believe that this conclusion is absolutely correct. … Let me just restate that conclusion in my own words, to make things clear. As Muslims, I think it’s pretty much a no-brainer that the most important element which brings about the cohesion and thereby the strength of our entire Muslim ummah is no other than our aqeeda and our manhaj, i.e. our methodology for how we propose to bring about productive changes. Now, I’m fairly certain after using these native terms from our religion, that no-one will disagree with the fore-stated conclusion…

    And from there he goes on to discuss the significance of Islam as he sees it:

    The pinnacle of our religion is not merely to establish the individual rights of Islam within the sphere of our personal, everyday lives, but rather, worshiping Allah is much bigger than that. The reality of worship actually extends to all ways in which we please Allah (swt) and make his word uppermost in this earth. The true pinnacle of our religion is to establish tawhid in the earth and to eradicate shirk — and this must be done collectively, as an ummah.

    This aim, he concludes, can only be achieved under the leadership of a renewed Caliphate,
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    Worship:

    All this — the preaching and practice of jihad — is an act of worship.
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    What counts?

    It was apparently a namesake of mine, William Bruce Cameron, whose 1963 book Informal Sociology: A Casual Introduction to Sociological Thinking included a quote now frequently attributed to Albert Einstein:

    It would be nice if all of the data which sociologists require could be enumerated because then we could run them through IBM machines and draw charts as the economists do. However, not everything that can be counted counts, and not everything that counts can be counted.

    Einstein is usually credited with the second sentence there, but it’s a pleasure to read the context in which the quote in question was originally uttered.

    It is, for instance, easier to count guns, or even “all military-age males in a strike zone“, than it is to account for zeal, religious and otherwise. As a result, we devote far more intellectual firepower (think about that metaphor for a moment) to tracking people and materiel than we do to tracking ideas and passions. And when we do try to think about ideas, we often leave out the passions that empower them.

    Which is why I’m grateful for the notion that Al-Qaida has an “ideology”, but don’t think it quite cuts it.

    An ideology is propositional. It refers to a system of ideas, but says nothing about the fervor with which those ideas are held and acted upon. Specifically, it doesn’t address worship.

    Which is where I think Marisa Urgo gets things right.
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    Marisa gets it right:

    Marisa Urgo gets it right, I’d suggest, when she says:

    there’s a gap in our understanding that simply can’t be described using the discourse of psychological dysfunction or earthly geopolitical ends.

    That quote is from a recent post in which Marisa is commenting on Ayman al-Zawahiri‘s Knights Under the Banner of the Prophet (2d ed).

    And that — in a nutshell — is why Hammami “translated” from RAND’s use of the word “ideology” to the “native terms” of his religion, aqeeda and our manhaj. That’s why he mentioned worship.

    For Hammami, as for al-Zawahiri, jihad is sacramental. It is an act of worship.

    In his book The Qur’anic Concept of War, the Pakistani Brigadier SK Malik writes, with emphasis:

    In war, our main objective is the opponent’s heart or soul, our main weapon of offence against this objective is the strength of our own souls…

    I’d like to take that one step further.

    We speak of our own troops being “in harm’s way” in war — and this is no less true of those who are targeted by drone strikes. War is a risky business for all concerned. But how much risk are jihadists taking — and how much risk do they perceive themselves to be taking?

    Al-Zawahiri and bin Laden, Omar Hammami and other jihadists take risks, but they calculate their risk-taking in terms of the soul — and in this way their risk-assessment notably diverges from our assessment of their risk. We in the West tend to take the Napoleonic position that “God is on the side of the big battalions” — but the jihadists prefer to believe that invisible, which is also to say, unaccountable, help may be at hand, in line with Qur’an 8.9:

    When ye sought help of your Lord and He answered you (saying): I will help you with a thousand of the angels, rank on rank.

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    A theology of risk:

    Back to Marisa, who raises an interesting point in this regard: She suggests, specifically with respect to Zawahiri, but with application to all those for whom jihad is a sacramental act, that the jihadists are essentially calculating according to a theology of risk:

    What may be at work here is what some theologians call a personal theology of risk. It’s an idea common enough in Christian traditions; however, I’m uncertain of its presence in Islam. It would be interesting to find out if such an idea exists, because few, if any, analyst have attempted to interpret al-Qaeda’s decision-making as a function of theologically-informed risk. And yet given his life choices, theologically-informed risk-taking makes more sense than any realpolitik explanation for Zawahiri’s decision-making.

    If Zawahiri has a theology of risk, it would require bold moves at the worst times, constantly pushing the envelope in order to see for a moment (without worldly obstructions) God’ will. It’s the very essence of counter-intuitive, because, to put it bluntly, God’s wisdom is not man’s, and a person guided by a theology of risk will take seemingly irrational risks at incredibly inopportune times in order to seek out that personal knowledge of Godly wisdom.

    For “a person guided by a theology of risk” in Islam, in fact, the only risk is a lack of trust in God. As al-Awlaki notes, for many westernized Muslims, “the concept of Jihad is one in where it is ‘dangerous’ to practice. Their trust in Allah is not there…”

    For he who entrusts himself to God in jihad, there are only two outcomes, frequently described as such: martyrdom — or victory.

    From the jihadist’s point of view, it’s a win-win situation.

    Sanctity, vision, science, ecology and the creativity of diagrams

    Saturday, May 12th, 2012

    [ by Charles Cameron — of [almost] no military or intelligence interest, this is a post for computer scientists, historians, scientists, artists, contemplatives and other creatives ]
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    I’ve been on a bit of a binge about medieval and renaissance diagrams recently, putting together an anthology of early “semantic networks” for the Sembl game site – but also thinking about the alternate track of art history which would focus on diagrams rather than paintings (I’m thinking of two dimensions here, hence no mention of sculpture) – an alternate history which may have something to teach our richly diagrammatic and data-visual times.

    My interest in all this tracks back at least to my early encounter with an essay by the computer scientist Margaret Masterman in Theoria to Theory (1967).

    *

    Yesterday brought me a post from Jason Wells, a scientist and bright all-rounder I follow on Google+, in which he posted an image of the cosmos from the Ptolemaic (pre-Copernical) point of view, which I’ve put at the head of this post.

    Jason commented on this diagram:

    As pretty as this is, this is not how your universe works.

    That is all.

    The diagram Jason posted purports to be mathematically and astronomically based: it is, if you like, a quantitative diagram. I don’t happen to think it’s pretty, although the two creatures (angels, goddesses?) up towards the top of the circle may be, and the serpent eating its tail around it is nicely done -– I think it has a rather austere beauty to be honest, but I’m likely to concede to Jason that it isn’t “true” in the sense of being an accurate representation of the (abstract) laws of celestial motion.

    But then I also think there’s more to truth than accuracy, useful though that may be – there’s also a qualitative element to truth, and perhaps “beauty” is (among other things) a name for it.

    *

    Yesterday also brought me a news bulletin that ties into that same interest in medieval and renaissance diagrams. From the Vatican Information Service (via Chant Cafe) , we learn that Hildegarde of Bingen (1098 – 1179) is now a saint of the Catholic Church with universal cultus:

    Vatican City, 10 May 2012 (VIS) – The Holy Father today received in audience Cardinal Angelo Amato S.D.B., prefect of the Congregation for the Causes of Saints. During the audience he extended the liturgical cult of St. Hildegard of Bingen (1089-1179) to the universal Church, inscribing her in the catalogue of saints.

    Consider, then, in contrast to Jason’s mechanistic Ptolemaic diagram, this diagram which today’s fresh-minted saint produced in the late 1140s or early 1150s to illustrate her visionary intuitions of the universe in the first of three books, Scivias:

    and these two, from Liber divinorum operum:

    and:

    These, I take it, are purely qualitative images in contrast to the Ptolemaic diagram — making no propositional claims as to physical or mathematical accuracy, but portraying Hildegarde’s sense of cosmic order. And just as we would not argue whether it is Van Gogh or El Greco who is “right” about the skies in their respective paintings, so I don’t think Hildegarde is worried about which of her diagrams is “right” in its portrayal of the world she lived and prayed in – each one illustrates some aspect of her vision of the world, and one does not necessarily contradict another.

    *

    Here are two descriptions of Hildegarde’s world, which may give us some insight into the diagrams above. For the top one:

    For Hildegard of Bingen, twelfth century German Benedictine abbess, the universe is like an egg in the womb of God. Her view of the universe, conditioned as it is by her times and her education, represents her visionary understanding of God’s motherhood of this sphere that we call the universe. Hers is a view that is organic and holistic, coloured neither by Greek philosophy nor Enlightenment rationalism, refreshing and strikingly “true” in its perceptions around the source of created life.

    Jean Evans, RSM, Viriditas and Veritas: The Ecological Prophets Hildegard of Bingen and Miriam Therese MacGillis, OP

    And for the third:

    God created the world out of the four elements, to glorify His name. He strengthened the world with the wind. He connected the world to the stars. And he filled the world with all kinds of creatures. He then put human beings throughout the world, giving them great power as stewards of all Creation. Human beings cannot live without the rest of nature, they must care for all natural things.

    von Bingen, Physica, 755, quoted in Stephanie Roth, The Cosmic Vision of Hildegard of Bingen,” The Ecologist 30, no. 1 (2000).

    It’s probably worth mentioning that three of the “four elements” of the ancients are still known to us, though we call them “states” rather than “elements” at this point — the solid, liquid and gaseous states correspond with what the ancients called “earth”, “water” and “air”, respectively — and it has even been suggested that their “fire” corresponds to the fourth state we now term “plasmas” — not my line of business, however, so who knows?

    *

    Hildegarde picked up the word “viriditas” from Gregory the Great and made it peculiarly her own. It means greeness, literally, and freshness by extension — but for Hildegarde’s integral view of all that is, it also carries a theological dimension, Christ being the greening of the world for her:

    For Hildegard, viriditas was an attribute of the Divine nature, a reflection of God’s goodness and beauty. It stood for vitality, fertility, fruitfulness and growth; in fact all the things that we now associate with the “greenness” of nature. For us today “greenness” is a sign that the Earth is healthy and flourishing. Similarly, for Hildegard, viriditas was synonymous with physical and spiritual health, with the continuing vivifying force of the Holy Spirit.
    .
    Dr Carmel Bendon Davis, Hildegard of Bingen: Eco-warrior and Superwoman

    This greening or freshening is not, for Hildegarde, just a matter of earth and water, of river and forest, it is also infused with fire and air:

    I am likewise the fiery life of the substance of divinity. I flame over the beauty of the fields and sparkle in the waters, and I burn in sun, moon, and stars. And with an airy wind that sustains all things with invisible life, I raise them up vitally. For air lives in greenness and flowers, waters flow as if alive, the sun, too, lives in his light, and when the moon comes to her decline she is kindled by his light, as it were to live again… Thus I, the fiery force, am hidden in [the winds], and they take fire from me, just as breath continually moves a man, and as a windy flame exists in fire. All of these live in their essence and are not found in death, because I am life.

    Nor is it “merely” natural, it can also be found in the soul:

    Understanding in the soul is like the Veriditas of the branches and the leaves of the tree

    It is, in fact, neither exclusively natural nor supernatural, but non-dual.

    *

    Dylan Thomas, being a Welshman and a poet, thus has an insight that bears a family resemblance to Hildegarde’s, but phrases it in a way that leaves the “force” neither personified nor otherwise… and thus with no necessary doctrinal implication:

    The force that through the green fuse drives the flower
    Drives my green age; that blasts the roots of trees
    Is my destroyer.
    And I am dumb to tell the crooked rose
    My youth is bent by the same wintry fever.

    Due to the idiocy of copyright, you’ll have to go elsewhere to read the whole, fine poem.

    For Hildegarde, this “force” is also Christ — for he himself is the “the fiery life of the substance of divinity” — and his coming to earth a greening and freshening of a world until then barren of the love he brought.

    *

    Hildegarde was the abbess in charge of a small flotilla of nuns — but also a mystic, a visionary, philosopher, poet, painter and songstress…

    Her song of creation, O Viriditas, bears comparison in spirit with St FrancisCanticle of the Sun. She writes to her “green” Christ and his “green” planet:

    O greenness of God’s finger
    with which God built a vineyard
    that shines in heaven
    as an established pillar:
    You are glorious in God’s preparation.
    And o height of the mountain
    that will never be dispersed
    in the judgment of God,
    you nevertheless stand from afar as an exile,
    but it is not in the power
    of the armed man
    to seize you.
    You are glorious in God’s preparation.
    Glory be to the Father and to the Son
    and to the Holy Spirit.
    You are glorious in God’s preparation.

    And she sets her words to the music of the times:

    Indeed, her music is sung even today…

    How’s that for a twelfth century statement of what we’d these days call “ecology”?

    *

    But all this risks getting far too ethereal, I have wandered far along my own epicycles from Jason Wells’ point, and methinks I should bring us back down to earth.

    Dennis The Constitutional Peasant, in Monty Python and the Holy Grail, meets King Arthur and complains, “What I object to is you automatically treatin’ me like an inferior.” It’s understandable — but so, perhaps, is king Arthur’s response: “Well, I am king.”

    Two worldviews clash here — and in the ensuing debate, Arthurian myth meets contemporary politics:

    Dennis’ Mother: Well how’d you become king, then?
    Arthur: The Lady of the Lake,… [Angel chorus begins singing in background] her arm clad in the purest shimmering samite, held aloft Excalibur from the bosom of the water signifying by Divine Providence that I, Arthur, was to carry Excalibur. [Angel chorus ends] That is why I am your king!
    Dennis: Listen. Strange women lying in ponds distributing swords is no basis for a system of government. Supreme executive power derives from a mandate from the masses, not from some farcical aquatic ceremony.
    Arthur: Be quiet!
    Dennis: You can’t expect to wield supreme power just ’cause some watery tart threw a sword at you!
    Arthur: Shut up!
    Dennis: I mean, if I went ’round saying I was an emperor just because some moistened bint had lobbed a scimitar at me, they’d put me away!

    Or if some bint told me the universe was a cosmic egg in the womb of God, for that matter — even if Benedict XVI did just add her to the calendar of saints.

    *

    Here you go, courtesy of YouTube:

    *

    Frankly I appreciate both modes of thinking — the mythic and the scientific — and believe we’re in the sort of territory here that Nils Bohr was thinking of when he said:

    The opposite of a true statement is a false statement. But the opposite of a profound truth may be another profound truth.

    For more on the story of diagrammatic and pictorial imagery in western civilization, see Ioan Couliano, Eros and Magic in the Renaissance (University of Chicago, 1987). And for more diagrams from the renaissance, there’s nothing I know of better than SK Heninger, The Cosmographical Glass: Renaissance Diagrams Of The Universe (Huntington Library, 1977).


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