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The easy way or the hard way?

Saturday, June 1st, 2013

[ by Charles Cameron — thinking more in terms of challenge than of threat, and skipping via Chicago Law, Everest, and Handel’s Messiah to a Venn diagram of the workings of conscience ]
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Well, I don’t always read the Chicago Law Review cover to cover, or even at all to be honest — but I confess I did like this opening paragraph from George Loewenstein† & Ted O’Donoghue†† (love those daggers after your names, guys):

If you ever have the misfortune to be interrogated, and the experience resembles its depiction in movies, it is likely that your interrogator will inform you that “we can do this the easy way or the hard way.” The interrogator is telling you, with an economy of words, that you are going to spill the beans; the only question is whether you will also get tortured — which is the hard way. In this Essay, we argue that much consumption follows a similar pattern, except that the torturer is oneself.

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Here’s the easy vs hard contrast I was thinking about as I googled my way to the Law Review — as you’ll see, it has nothing to do with interrogation:

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So, a little background. Jason Burke has been covering Everest for The Guardian lately, since it has been almost exactly sixty years since Hillary and Tenzing were the first to “conquer” the highest peak on earth — and one of his reports caught my eye — Everest may have ladder installed to ease congestion on Hillary Step:

It was the final obstacle, the 40 feet of technical climbing up a near vertical rock face that pushed Sir Edmund Hillary to the limit. Once climbed, the way to the summit of Mount Everest lay open.

Now, almost exactly 60 years after the New Zealander and his rope-mate, Sherpa Tenzing Norgay, stood on the highest point in the planet, a new plan has been mooted to install a ladder on the famous Hillary Step, as the crucial pitch at nearly 29,000ft has been known since it was first ascended. The aim is to ease congestion.

That’s what the upper panel, above, is all about — and I think it contrasts nicely with the bottom panel, which shows a rurp. Should you need one, you can obtain your own Black Diamond rurp here.

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Rurps are awesome. Here are two descriptions of them, both taken from the mountaineering literature, and neither one of them focusing in too closely on the poetry of the name…

Steve Rope, Camp 4: Recollections of a Yosemite Rockclimber, p. 107:

Chouinard’s “rurp” was obviously something special. An acronym for “realized ultimate reality piton,” this ludicrously small fragment of heat-treated steel opened our eyes to untold possibilities.

and Chris Jones, Climbing in North America, p. 273:

It was about the size of a postage stamp. The business end was the thickness of a knife blade and penetrated only a quarter-inch into the rock. With several of these Realized Ultimate Reality Pitons, or rurps, Chouinard and Frost made the crux pitch on Kat Pinnacle (A4). It was the most difficult aid climb in North America.

Chouinard named this postage-stamp-sized thing the realized ultimate reality piton (RURP) because if you willingly and literally hang your life on that quarter-inch of steel, you’re liable to realize, well, ultimate reality.

Zen — yours for $15 and exemplary courage.

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Here’s my question: should we make the hard way easier?

When is that a kindness, and when is it foolish?

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In its own way, of course, a rurp is an assist — it makes the hard way a tad easier for the serious climber.

As indeed would the proposed “ladder” on Everest: here’s why it might be not-such-a-bad idea:

This year, 520 climbers have reached the summit of Everest. On 19 May, around 150 climbed the last 3,000ft of the peak from Camp IV within hours of each other, causing lengthy delays as mountaineers queued to descend or ascend harder sections.

“Most of the traffic jams are at the Hillary Step because only one person can go up or down. If you have people waiting two, three or even four hours that means lots of exposure [to risk]. To make the climbing easier, that would be wrong. But this is a safety feature,” said Sherpa…

Besides, the idea is to set it up as a one-way street…

Frits Vrijlandt, the president of the International Mountaineering and Climbing Federation (UIAA), said the ladder could be a solution to the increasing numbers of climbers on the mountain.

“It’s for the way down, so it won’t change the climb,” Vrijlandt told the Guardian.

Ah, but then there’s human nature to consider:

It is unlikely, however, that tired ascending climbers close to their ultimate goal will spurn such an obvious aid at such an altitude.

Bah!

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Shouldn’t we just level the top off, as Handel and Isaiah 4.4 suggest, and as we’re doing in the Appalachians?

A little mountaintop removal mining, a helipad, and voilà — even I could make it to the summit!

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But to return to Loewenstein† & O’Donoghue†† — their paper’s full title was “We Can Do This the Easy Way or the Hard Way”: Negative Emotions, Self-Regulation, and the Law — how can a theologian such as myself resist a diagram such as this?

Glass Beads and Complexity

Monday, May 27th, 2013

[ by Charles Cameron — achieving something like closure on a post I started for Adam Elkus here, with a side dish along the way here ]
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It’s astonishing to me how closely complexity science is related to Hermann Hesse‘s Glass Bead Game.

Adam Elkus recently pointed those who follow him to Cosma Rohilla Shalizi, Methods and Techniques of Complex Systems Science: an Overview, and just a quick dip there gave me the graphic I’ve put at the head of this post, together with this quote about “patterns” as Shalizi understands that term:

I mean more or less what people in software engineering do: a pattern is a recurring theme in the analysis of many different systems, a cross-systemic regularity. For instance: bacterial chemotaxis can be thought of as a way of resolving the tension between the exploitation of known resources, and costly exploration for new, potentially more valuable, resources (Figure 1.2). This same tension is present in a vast range of adaptive systems. Whether the exploration-exploitation trade-off arises among artifcial agents, human decision-makers or colonial organisms, many of the issues are the same as in chemotaxis, and solutions and methods of investigation that apply in one case can profitably be tried in another. The pattern “trade-off between exploitation and exploration” thus serves to orient us to broad features of novel situations. There are many other such patterns in complex systems science: “stability through hierarchically structured interactions”, “positive feedback leading to highly skewed outcomes”, “local inhibition and long-rate activation create spatial patterns”, and so forth.

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Let’s start with patterns. The “people in software engineering” Shalizi mentions gleaned their use of the term “pattern” from the architect Christopher Alexander, author of the extraordinary, seminal book A Pattern Language, which in turn has hugely influenced computer science. Alexander distilled the essence of his thinking in his “Bead Game Conjecture”:

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.

Manfred Eigen, Nobel laureate in Chemistry, called his book with Ruth Winkler-Oswatitsch Laws of the Game — and it deals with molecular biology, cellular automata, game theory, and games. But not just that — it is specifically written with Hesse’s concept in mind:

We hope to translate Hermann Hesse’s symbol of the glass bead game back into reality.

While we’re on about cellular automata, what about Stephen Wolfram? I don’t know that he talks about the Glass Bead Game himself, but at least three people talk about Wolfram’s book, A New Kind of Science, and/or his search engine, Wolfram Alpha as being strongly analogous to Hesse’s game — Jason Dyer, Graeme Philipson, and most recently, Mohammed AlQuraishi. Here’s a key para from Quraishi’s piece:

I think the Game is an intriguing concept, and I think it may one day be realized. In fact I think we are already on our way toward realizing it. In the simplest and most general sense, mathematics and programming languages allow us to formalize all knowledge. Contenders for the language of the Game already exist, at least in principle. But we are further along than that. Search engines like Wolfram Alpha have already begun the process of formalizing diverse pieces of knowledge, unifying them in a single medium, and providing the means to connect and reason about them. A repeated example in the book, the mapping of musical compositions to mathematical formulas or even historical events, is eminently doable within Wolfram Alpha. Much remains to be done of course, and there is no “game” yet that can be played across the vast sea of all human knowledge, but some enterprising individuals have already gotten started on creating it.

And then there’s John Holland, the “father of genetic algorithms”. Holland told an interviewer:

I’ve been working toward it all my life, this Das Glasperlenspiel. It was a very scholarly game, starting with an abacus, where people set up musical themes, then do variations on it, like a fugue. Then they’d expand it to where it could include other artistic forms, and eventually cultural symbols. It became a very sophisticated game for setting up themes, almost as a poet would, and building variations as a composer. It was a way of symbolizing music and of building broad insights into the world.

If I could get at all close to producing something like the glass bead game I can’t think of anything that would delight me more.

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I’ve been working on a playable variant on the Glass Bead Game too, for twenty years quite consciously, and more if you count subterranean stirrings. And I don’t think glass beads, or stones, or chess or go pieces, or beads on an abacus, or strings of ones and zeros, or cells in an agent-based model for that matter, are the way to go. Which is not to say those approaches shouldn’t be tried, or don’t have remarkable things to teach us. I just don’t believe they give us quite what Hesse envisioned:

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.

I think what’s important in Hesse’s game is that concepts that humans can grasp should reveal their stunning interrelations to heart and mind. And for that reason, the “moves” in my games [Hipbone, and more recently Sembl] consist of concepts — musical, verbal, visual, mathematical — and the links, the analogies, the “semblances” between them.

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And thus the game is a search for analogies.

The human mind must inevitably perform what Shalizi calls the “trade-off between exploitation and exploration”. Some thoughts are proximate to others, they can be developed without any special insight by regular “linear” thinking. We do this every day, every minute — but it is not particularly revelatory. It doesn’t solve thorny problems, much less create beauty. There is another mode of thinking, however, that leaps between thoughts that are not so “close” but are nevertheless deeply related. To leap the apparent distance between such deeply related thoughts, we deploy analogy and creative thinking, and that is where the aha! of revelation occurs.

So I would suggest there is a close analogy here with the point Shalizi is making with the diagram atop this post. The human mind, to slightly paraphrase Shalizi’s caption, will “exploit the currently-available patch of food” for thought by linear, inside-the-patch thinking, but at full stretch it will also “explore, in hopes of ?nding richer patches elsewhere” — the “elsewhere” being attained precisely by “creative leaps” — by seeing semblances, patterns, analogies.

And to return to my earlier post, Thinking outside the cocoon, of which this post is a continuation, and perhaps the completion….

Shalizi’s “random walk” is thus also the archangel’s “zig-zag wantonness” in that great poem, Tom O’Roughley — when William Butler Yeats asks, “how but in zig-zag wantonness / could trumpeter Michael be so brave?” and writes, “wisdom is a butterfly / and not a gloomy bird of prey”…

The Abel Prize for a great Sembl move

Wednesday, May 22nd, 2013

[ by Charles Cameron — cross-posted from Sembl ]
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You don’t have to be playing a Sembl or Hipbone game to make a great Sembl move — you just have to see a rich semblance between two concepts in (previously) widely separated fields of thought. Thus Pierre Deligne of Princeton’s Institute for Advanced Study, who won the Abel Prize in mathematics this year, did so by working on a rich Sembl-style insight from André Weil. As Scientific American reports today:

Deligne’s most spectacular results are on the interface of two areas of mathematics: number theory and geometry. At first glance, the two subjects appear to be light-years apart. As the name suggests, number theory is the study of numbers, such as the familiar natural numbers (1, 2, 3, and so on) and fractions, or more exotic ones, such as the square root of two. Geometry, on the other hand, studies shapes, such as the sphere or the surface of a donut. But French mathematician André Weil had a penetrating insight that the two subjects are in fact closely related. In 1940, while Weil was imprisoned for refusing to serve in the army during World War II, he sent a letter to his sister Simone Weil, a noted philosopher, in which he articulated his vision of a mathematical Rosetta stone. Weil suggested that sentences written in the language of number theory could be translated into the language of geometry, and vice versa. “Nothing is more fertile than these illicit liaisons,” he wrote to his sister about the unexpected links he uncovered between the two subjects; “nothing gives more pleasure to the connoisseur.”

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While I was still a schoolboy, my favorite place to visit on vacation was the great Abbaye St. Pierre de Solesmes, celebrated for its central part in the renewal of Catholic liturgy and of the Gregorian Chant in particular. Two of my fondest memories are of the terrific bowls of coffee served in the monastic refectory at breakfast, and of my opportunity to take a class in chant under the chironomic hand of Dom Joseph Gajard, then Choirmaster at Solesmes. The liturgy and the chant were sublime.

I was an Anglican (“Episcopalian”) at the time, and just a wee bit concerned that the monks might want to convert me to the One Holy [Roman] Catholic and Apostolic version of the faith — but when I expressed my concern to one of the monks, I was reassured: they had had an earlier guest at the abbey, one Simone Weil, and she too had been unready to convert, though deeply moved by the liturgy…

So I’ve felt a quiet kinship with Simone Weil ever since, and try to keep a copy of her Letter to a Priest nearby me at all times. She begins:

When I read the catechism of the Council of Trent, it seems as though I had nothing in common with the religion there set forth. When I read the New Testament, the mystics, the liturgy, when I watch the celebration of the mass, I feel with a sort of conviction that this faith is mine or, to be more precise, would be mine without the distance placed between it and me by my imperfection.

I love her for that — and I love, too, that her brother should make such a splendid Sembl move.

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I suppose I’d better post my reading of Wiles’ Proof of Fermat’s Last Theorem viewed as a Glass Bead Game as a follow up.

Jottings 8: of words and numbers

Sunday, May 19th, 2013

[ by Charles Cameron — nota bene: numbers are my piano, words are my forte ]
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The New Scientist in its feature Charting Syria’s civil war http://syria.newscientistapps.com/index.html claims that it “crunched the numbers on violent events in Syria” and then says “the resulting view suggests that the violence has subsided in recent months”.

Jay Ulfelder in Challenges in Measuring Violent Conflict, Syria Edition at Dart Throwing Chimp suggests “That inference is almost certainly wrong” — and proceeds to say why. Here’s the broad strokes short form:

As Deborah Gerner and Phil Schrodt describe in a paper from the late 1990s, press coverage of a sustained and intense conflicts is often high when hostilities first break out but then declines steadily thereafter. That decline can happen because editors and readers get bored, burned out, or distracted. It can also happen because the conflict gets so intense that it becomes, in a sense, too dangerous to cover.

I’m interested in close reading versus sloppy writing, and from my POV the likelihood of that sort of almost axiomatic decline not being factored into New Scientist‘s conclusions slides in when they write that they “crunched the numbers on violent events in Syria”.

If instead they’d written that they’d “crunched the numbers on reports of violent events in Syria” — wouldn’t it have been a little harder to then write, “the resulting view suggests that the violence has subsided in recent months”?

Wouldn’t it have made more sense to write, “the resulting view suggests that the reports of violence have subsided in recent months”?

I’m sorry, but from where I sit it’s not the numbers, it’s the sloppy language that seems problematic.

The great scientific art-grab

Wednesday, February 20th, 2013

[ by Charles Cameron — a poet’s rant against the hubris of scientists and the poverty of so much of what passes for art ]
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Gorgeous. And fascinating.

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I’d like to begin by saying beauty is not the same as prettiness any more than joy is the same as fun or truth than popular opinion. In fact I have an aphorism:

if you shoot for beauty, you’re liable to hit prettiness; if you want to achieve beauty, shoot for truth.

Okay? The beautiful can be grotesque, utterly normal, joyously peaceful, extremely violent, or simply gorgeous — and be beautiful in each case.

Having said that, I’d also like to say that the world, the universe in all it immense scope and scale and variety and possibility, isn’t “science” or “art” — we find science in exploring it one way, find art in exploring it another.

And when scientists want to impress, they often do it by choosing elements of beauty in what science has recorded of a universe that is neither science nor art but seamlessly filled to the brim with both — by appealing to our aesthetic taste, to the “art” side of our being, while claiming the result is science.

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Case in point:

The graphic above, from the I fucking love science photo timeline on FaceBook, which comes with the caption:

Caddisfly larvae build protective cases using materials found in their environment. Artist Hubert Duprat supplied them with gold leaf and precious stones. This is what they created.

Did you get that? It’s from a site that bills itself I fucking love science that specializes in presenting, how can I make this simple, nature’s art. It’s the recognition of beauty that makes this site so wonderful — and in this particular case, the work of Artist Hubert Duprat.

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I’ve been working with jewelry recently, and as you can see from this image of a Hematite “Tricubi” necklace by Bernd Wolf, the influence goes both ways.

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What is beauty? And why does science as an institution so often want to claim what properly belongs in the realm of art? Or is science, perhaps, an art or cluster of arts? I’m tired of these ceaseless wranglings between two supposedly opposing cultures.

Paul Dirac:

I think that there is a moral to this story, namely that it is more important to have beauty in one’s equations that to have them fit experiment.

As art, the jewel-like protective cases those caddisfly larvae make are simply beautiful. The fact that they make them is fascinating.


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