Idiosophy

A physicist loose among the liberal arts

Signed Graphs and Interesting Stories

Of all the types of graphs, signed graphs are probably the most interesting for looking at interactions among groups of people. Definition: a signed graph is a collection of nodes and links between them, just like a regular graph, but each link is flagged with a positive or negative sign. When we’re using the graph to describe a social network, those might be “loves” and “hates”, “admires” and “sneers at”, or any other dichotomy that comes to mind.

Some graphs have closed paths in them. Mathematicians call a closed path a “cycle”. If you go around a cycle and encounter an even number of negative signs, it’s a balanced cycle. A graph that contains only balanced cycles is a balanced graph. These are the simplest cycles:
three-node signed graphsHere’s where things get interesting: signed graphs apparently figure into human sociology. If a network of relationships forms a balanced graph, it’s a stable structure. Relationships that fall into unbalanced graphs aren’t stable, and lead to drama. (That last word can be taken either literally, or in the euphemistic sense that people give it these days.) I don’t think anybody knows why such a simple mathematical condition seems to be true; that’s just the kind of thing mathematics does every now and then. Some brilliant psychologist will figure it out someday.

In the unbalanced graph “a”, I colored the vertices pink and blue because my wife watches soap operas, and nearly as I can tell, there’s a cycle like that at the heart of every one of them. It never ends well, because it’s unbalanced. The balanced graph “b”, by contrast, is “you and me against the world”, which is a stable configuration. The all-negative graph “c” can go one of two ways. If the vertices represent people, two of them just go away and the network disintegrates. If the vertices represent countries, or something else that’s forced into interaction because it can’t quit the game, the network changes when two of the nodes look for an advantage by conspiring against the third. The fourth possibility, “d”, is that all the links are positive. It is balanced and kind of boring in its dramatic implications.

There’s a perfect example of three-party instability in Book IV of LotR among Frodo, Sam, and Gollum.  From the time they meet up, it’s graph “a”: Sam loves Frodo, Sméagol loves Frodo, Sam doesn’t like Sméagol.  Type “a” is unstable, so something’s got to give. The crisis comes in  Chapter 8, when Sméagol (possibly) tries to turn the graph into a stable all-positive triangle, but Sam intrudes, the opportunity is lost, and Gollum plots with Shelob to turn the graph into type “b”.

Of course, three-person networks are easy to understand without graph theory. The real advantage of mathematics is that it becomes possible to handle any size network. There’s a theorem about graph balance that applies in general: Any balanced graph can be re-drawn in a simple form. (Can I say “isomorphic”? Sure I can. Y’all are tough enough.) All balanced graphs are isomorphic to a graph that’s split into two parts, where there are only positive links within each part, and all the links between the parts are negative.  That’s called the Cartwright-Harary Theorem. Prof. Harary says that the theorem is unexpected and counter-intuitive, which I am half in agreement. The positive interpretation is easy to accept:  if the world consists of two parties, and every member of a party agrees with each other, and every member of each party disagrees with all members of the other party, the situation is stable.  (Then Romeo meets Juliet, and the stability is history.)  The counter-intuitive part is that this is the only way for a graph to be stable.  That’s it – the one way you can build a stable social system is for everybody on your side to agree and to hate the other side, and contrariwise on the other side.  In practice, I suppose you could allow disagreement on issues that were irrelevant to the structure, and thereby outside the graph model. But on any important issue, perfect party unity and perfect hatred of the other side is your only chance.

Interesting stories, whether they’re fictional or meta-fictional, don’t have balanced graphs.  One of the most intriguing things I scribbled down during Sørina’s lecture was that we might be able to define a new subset of graphs under the rubric of “interestingly-unbalanced”.

Illiterate Coda

Maintaining stable structures without fomenting partisan warfare is critically important in a society as complex as ours.  But math is math. So how do we handle the dilemma of the Cartwright-Harary Theorem?  We go around the horns. Almost every organization chart you’ll ever see has the same basic structure:  No cycles, so the theorem doesn’t apply.  That type of graph is called a tree.  It’s useful in all sorts of contexts, but until now it had never occurred to me that it means that management never has to choose between polarization and instability.

Graphing the Inklings

Sørina Higgins’s lecture at Mythmoot IV gave us a hint about where she’s going intellectually in the near future. She wants to apply network theory to create “meta-fictional narratives” about the interactions among the Inklings and how it affected their writing, and invited us to do the same.

The coolest figure from “Graph Theory as a Mathematical Model in Social Science”

This seemed like a good time to blow the dust off my command of graph theory. You can figure out lots of cool things from networks, if you know about graphs.   Frank Harary, writing from a period contemporary with The Lord of the Rings until well into this century, pushed the use of mathematical graph theory into the social sciences.  Here’s a short version.  Here’s what I think is his clearest explication of what can be done with graphs in the social sciences (which is what we are doing, now).

For instance, graphs are used a lot in management theory.  The fastest performing network structures were those in which the distance of all nodes from some central person (the “integrator”) was the shortest, say Borgatti, Stephen P., et al. “Network analysis in the social sciences.” science323.5916 (2009): 892-895. Now, if you’re looking for a paradigm of a stable, efficiently operating organization, the Inklings are not an obvious place to start.  I’m pretty sure that C.S. Lewis would turn out to be the integrator, but then what?  Here’s a chart from Borgatti et al. that might clarify the relevance:

Following Sørina’s Ansatz, we might begin with the box on the left to determine our set of writers (nodes). Next, we’d assign a numerical quantity to each node, probably derived from a lexomic analysis.  Then, we’d build links from the two boxes on the right, Interactions and Flows, based on accounts of how the writers interacted, to see how some attribute of the nodes changes over time.

The easiest thing to see would be something like the spread of Theosophy or Anthroposophy. Weird philosophies come with an idiosyncratic jargon that should be trivial to find in the writers’ texts. The mathematical tools we’d need to identify the influence of some *osophy have already been developed to model the spread of infectious disease.

Slightly more difficult would be to track down an agreement between the writers to split things up.  There was the famous wager between Tolkien and C.S. Lewis about writing a time-travel and a space-travel story, respectively.  We’d look for some lexemes they shared equally, which then split up mitotically into space on Lewis’s side and time on Tolkien’s. But a difficulty presents itself. It might be possible to find lexemes in Tolkien that correlate well with space travel, but I can’t think of them.  We’d have to find them via statistical correlations, which tend to make the final result less credible.  A better choice might be King Arthur.  In an old lecture on Youtube, Sørina mentions that Tolkien may have given up work on Arthurian legends because Charles Williams was doing so much in that area. It should be easy to find convincing Arthurian terms whose frequency evolves over time.

Caveat:  Sørina drops a hint that she’s dealing with a large network, which the Inklings are not.  We’ll have to wait and see.

 

Trying to love Modernism

Sørina Higgins’s plenary talk at Mythmoot IV, and the reaction it got from the high-octane scholars in the room, convinced me I should try to engage idiosophically with Modernism instead of treating all the Inklings’ works separately from it. But here’s the first hurdle: Modernism doesn’t appeal to me. What do I gain by putting my favorite book in a set with a lot of books I don’t like? How do I get over my distaste for most early-Twentieth-Century literature?

Maybe by skipping media. If I zoom ‘way out, I can find another modernist work I love. It’s a musical composition, not a book. “The Planets” by Gustav Holst might be the only “popular” piece in all of Modernist music. It’s older than all but the earliest things JRRT put on paper.

“The Planets” is a suite of seven movements, one for each planet except Earth. Holst doesn’t give the planets their Greco-Roman mythological significance; the subtitles are Theosophical instead. Though I don’t have any written evidence about JRRT ‘s opinion of Theosophy [1], I feel confident that it rose no higher than slight regard. Therefore, I’m not going to look for any congruence in the meanings of the pieces. I’d rather look at environmental effects. The parallels will more likely appear in the emotional responses the artists invoke, not their content.

“Mars, the Bringer of War” was written before World War I, so its depiction of the horrors of mechanized slaughter isn’t a mirror so much as a prophecy. This is an instantly-recognizable piece all over the world. David Bratman talks about it being echoed by Grond, the Hammer of the Underworld™, and also tosses in an allusion to the early drafts of the Quenta Silmarillion in which the dragons are described as mechanical, like tanks. To which I’d add the blaring trumpets that we hear when the Black Gate opens:

They came within cry of the Morannon, and unfurled the banner, and blew upon their trumpets; and the heralds stood out and sent their voices up over the battlement of Mordor. … even as the Captains were about to turn away, the silence was broken suddenly. There came a long rolling of great drums like thunder in the mountains, and then a braying of horns that shook the very stones and stunned men’s ears. And thereupon the door of the Black Gate was thrown open with a great clang, and out of it there came an embassy from the Dark Tower.

LotR V, x

“Venus, the Bringer of Peace” matches up well with the tone of JRRT’s prose that I hear in elvish lands, once I get past the things that my baroque ears still hear as weird dissonances. Here in Legolas’s speech about mallorn trees in LotR II,vi, the constantly-shifting rhythms match this piece well: “Not till the spring comes and the new green opens do they fall, and then the boughs are laden with yellow flowers, and the floor of the wood is golden, and golden is the roof, and its pillars are of silver, for the bark of the trees is smooth and grey.” Actually, now that I think of it, elvish music probably has all kinds of weird dissonances in it, by Western standards. After a thousand years or so, a single mode of composition might sound dull to even the most conservative audiences.

“Mercury, the Messenger” doesn’t have a good match in LotR. Its anti-gravity and velocity have a lot in common with Bilbo’s poem “Errantry”, but that mood is rare in the book proper.

“Jupiter, the Bringer of Jollity”, is the most fun, and it has hobbitry all over it. Bratman (op cit.) points out that Holst makes good use of English folk tunes in several of his compositions. [2] The Prancing Pony must have sounded like this in the years after the return of the King.

“Saturn, the Bringer of Old Age” was supposedly Holst’s favorite movement of the seven. That opinion points toward the reason I generally don’t like Modernism — slow, ponderous works of art are far less interesting to me than the liveliness of Jupiter or even the heavy-metal brutality of Mars. I was taught in English class that the morbid obsessions of the Modernists were a consequence of WWI, but this piece is evidence that they were already intensely focused on mortality before the war. It makes me wonder if we have the causality relationship backwards. I hear the passage through the Dead Marshes in this one.

“Uranus, the Magician” brings us into the full-scale theosophical rewriting of myth. “Magician” is quite a demotion from Uranus’s old job! This is a fun piece to listen to. I don’t quite get the processional feel to the music — what does that have to do with magicians? Perhaps Holst didn’t want me to be able to decide whether he meant a stage magician or Aleister Crowley. In any case, this works. Saruman might have told the musicians to play a piece like this as his army marched out of Isengard to make war on Rohan. He was probably conducting the band himself, using a wand as a baton.

“Neptune, the Mystic” is another Theosophical demotion. Amazing how a bunch of mystics set out to discover the nature of planetary intelligences, and one of the seven just happened to be a mystic. [3] It was almost half a century ago, but I remember the liner notes from my father’s recording saying this was “the pure, disembodied essence of sound.” Why that’s a good thing, the liner-noter didn’t say. They couldn’t have gotten further from my understanding of music if they’d tried. I suspect JRRT might have shared my opinion. His poetry begins with rhythm, and this piece has almost none. So even though it’s not so complimentary to the two artists, there’s a parallel here, too. Confession time: “Ainulindalë” bores me to the edge of coma. That’s not how the universe began; the universe began with a C-Major chord. (Some people say E-flat, but that sort is notoriously unreliable.) Tolkien and Holst made the same conceptual mistake (as I so humbly see it): because matter as we know it didn’t exist in their context, they went for slow, rhythmless modulations to represent something that’s as placid and introspective as the interior of a blast furnace. This is worse than wrong. It is French.

Conclusion

The parallels between Holst and Tolkien are there, and easy to see. Tolkien is a Modernist; Sørina isn’t crazy. [4] They have similar (6/7 cases) things in mind that they want their audiences to think about. Time to admit it; my favorite author is right smack in the middle of a bunch of artists I don’t like very much. Perhaps we should define a kind of “pop-modernism”, to go with all the other hyphenations of modernism that critics have created, to encompass those participants in the first half of the twentieth century who don’t owe future generations an apology.


[1] Theosophists have plenty of things to say about JRRT. I do not recommend searching “tolkien theosophy” until they make a search engine that filters out pages predominantly composed of deceased intestinal flora.

[2] Holst even wrote a suite of music for Morris dances. (!) They’re kind of tame. I don’t think they would protect against Elf invasions.

[3] Maybe they were using a reflecting telescope and installed the mirror backwards.

[4] Well, not in this case anyway. Trying to teach Idiosophers to dance weighs rather heavily against this conclusion.

Hail, Caesura

In which the Idiosopher appreciates the poetic value of zeroes of the first time-derivative.

Tom Hillman has written a Mythgard Academy bank-shot post, in which he draws a line from the song-duel between Finrod and Sauron in The Silmarillion, to a poem in Boëthius’s Consolation of Philosophy, to the beach in Long Island.  Tom points out an almost-caesura in J.R.R. Tolkien’s verse:

Softly in the gloom they heard the birds
Singing afar in Nargothrond,
The sighing of the Sea beyond,
Beyond the western world, on sand,
On sand of pearls in Elvenland.

Silmarillion, ch. 19

The alliteration on “s” in lines 3-5 is onomatopoetic to me.  We’re hearing waves on the beach.  The caesura effect comes from the repetition of “beyond” and “on sand”.  The forward progress of the poem glides gently to a halt, then resumes, like a wave losing energy as it climbs the beach, before it returns to the sea. To a first approximation, the distance a wave travels up the slope of the sand is a parabola. We see only the nose of the parabola, because another wave comes along and uses it as a lubricant against friction with the land.   What we see is Figure 1.

Fig. 1. Wave height as a function of time

This is a good time of year to think about that. We’ve just passed the solstice, so the same sort of thing is happening with the sun. The sun has been in the sky perceptibly longer each day; now that’s come to an end like waves running out of energy on the sand.  The actual length of the day is a complicated function of the earth’s axial tilt, the latitude of the observer, the eccentricity of the earth’s orbit, the nutation of the earth’s rotation, and even a little factor due to the Moon.  The Naval Observatory keeps track of all this.  We can use a much simpler approximation, and treat everything as circles.  [geometric derivation with awesome ASCII art]  That yields an equation you can actually read.  The fraction of a day during which the sun is up is

2 acos[sin(λ) tan(τ sin(2πy))],

where λ is the latitude of the observer, τ is the earth’s axial tilt, and y is the number of days since December 21st divided by the length of the year in days.  The approximation is about 10 minutes shorter than the true amount of sunshine at my latitude, as shown in Figure 2.  Not bad, Copernicus!

Fig. 2. Daylight in Virginia

So here we are, just past the noontide of the year.  The vegetable plants have stopped their manic growth phase. (Fortunately, so has the grass.)  The botanical world is in a caesura of its own for a few days.  The beanstalks made it to the tops of their poles just in time.  The squash vines have found every inch of space they can reach.  Now they’re hunkering down to making seeds and fruits.  My job protecting them from skulking vegetarians will begin soon enough, but now is a time to take a breath.

Yes, the camera is at eye level. This year’s experiment is a 15-foot bean trellis.

My greatest wonder

The theme of Mythmoot IV was “Invoking Wonder”, and lots of people who attended have been posting about works that have inspired wonder in them.  Here are noteworthy contributions from Kat and Tom.

I tried to think of works of art that inspired a similar wonder in me, but they kept getting drowned out by a work of science and engineering:  The Hubble Space Telescope‘s Deep Field images.

Galaxies beyond galaxies

The Hubble Ultra Deep Field image

This is what science is all about.  They persuaded people to build the most amazing astronomical machine in history, and then pointed it towards places where nothing is.  No stars in our galaxy, no clouds of dust that will one day coalesce into solar systems.  And they found that even the emptiest part of the sky is filled with thousands of entire galaxies.  Not just there, of course.  Behind every star we can see, there’s a similar multitude of island universes, drowned out by the closer light sources.

The Silmarillion came out before the Hubble, so I didn’t have this in my mind when the Elves first awoke and saw the stars and said “Behold!” by the shores of Cuiviénen.  But now I know what they meant.

This particular image was taken in the near infrared, not visible light, because these galaxies are too old to be seen in visible light.  They upshifted the light to what it must have looked like when it left the sources. These galaxies are so old that many of them do not yet contain stars.  We’re ahead of the Elves now.  Pace Mithrandir, this is wizardry indeed!

Denethor’s Ring

I touched on the unexpected ability of US and Soviet authorities to avoid destroying the planet in my first post on Denethor. I’m no expert on international relations and military strategy, so it’s gratifying to see that someone who is an expert has done the research and backs up my suspicion that it was, first, the intended consequence of the policies and plans of the leadership and, second, something that J.R.R. Tolkien would not have had any reason to expect.

Bruno Tertrais (who just published a book entitled The Backlash of History or maybe “the revenge”; either way, yikes!) writes in the Washington Quarterly that, “Most strategists of the 1960s would be stunned to hear that as of 2017, there still has yet to be another nuclear use in anger,” and goes on to explain why that wasn’t just coincidence.  It was a consequence of the procedures put in place to control nuclear weapons, and the extreme seriousness with which the leaders of the nuclear-armed countries took their jobs.

So, as Stephen Winter and I ended up agreeing, Denethor was right all along.

The Elevation of Master Samwise

Tom Hillman looks into Sam Gamgee’s evolution from servant to “Master Samwise” Go read it; as usual from Tom it’s as good as blogging gets. There’s an angle to it that I’d like to add, though.

Corey Olsen pointed out, years ago when he was podcasting his classes at Washington U, that J.R.R. Tolkien wrote a complex textual history into The Lord of the Rings. It sticks out most dramatically in the Battle of the Pelennor Fields: the action stops to talk about the grave of Snowmane, Théoden’s horse, in terms that couldn’t have been written by Frodo a few years after the event. Obviously the text has picked up some additions as it was copied and distributed around Middle Earth during the Fourth Age. Here’s another one:

Thus Aragorn for the first time in the full light of day beheld Éowyn, Lady of Rohan, and thought her fair, fair and cold, like a morning of pale spring that is not yet come to womanhood. And she now was suddenly aware of him: tall heir of kings, wise with many winters, greycloaked, hiding a power that yet she felt.

LotR III,vi

What on earth is that all about? The last few pages have been Gandalf vs. Théoden, but the point of view swings suddenly to Aragorn and the narrator gets all tongue-tied and metaphor-mixed. Stammering “fair” twice in a row is unlike the narrator’s usual voice, and mornings don’t come into womanhood if Frodo of the Impeccable Grammar has anything to say about it. I interpret this passage with the perspective one gets from working as a courtier in Washington DC. This is another interpolation by a Fourth-Age scribe. The scribe was employed at the court of the Prince of Ithilien. His patron was a descendant of Faramir and Éowyn, and he felt sure that it would rebound to his favor if he made the biggest possible production out of the first meeting between the great Elessar and his patron’s ancestor.

Is this a valid reading? Sycophancy is the handmaiden of politics, wherever one looks. I assume that politics among the Men of Gondor and among hobbits is similar to politics in our world. In Gondor this is certainly the case (cf. Letter #136). The presence in the Shire of lawyers indistinguishable from our own (The Hobbit, at the auction, and LotR I,ii) implies their politics must not be too different. So on we go.

The descendants of Sam and Rosie Gardner were sure to face challenges to their legitimacy. The founders of their house were not of aristocratic stock, and an eminent literatus has proven beyond controversion that the family was not accepted

Map of Gardner

Mayor Sam Gardner’s family

unconditionally into the highest strata of hobbit society. The tale of the War of the Ring would have been an essential tool in consolidating the social position of the Gardners and the Fairbairns. Therefore, the hobbit scribes who wrote the Red Book of Westmarch took every opportunity they could find to connect Sam and Elanor with the royal family of Gondor and Arnor, as Tom documented, all through the Appendices. But how far back can the pretense to nobility be pushed?

As long as Frodo and Sam were embedded in a social structure, Sam would have to stay in a servile role. By the end of Book 2, though, Frodo and Sam are on their own. This is the perfect place to turn the story of Sam the sidekick into the origin myth of Mayor Samwise, founder of the House of Gardner. Their roles aren’t dictated by people around them any more. Sam can evolve. The first formal social structure Frodo and Sam encounter after that is Faramir’s company, and as Tom notes that’s where “Master Samwise” makes its entrance into the text, never completely to depart. The book shows Sam being treated with respect by the future Prince of Ithilien, lieutenant of the King Elessar, from the start.

Shortly after that, Frodo of the once-impeccable Bagginses, confirms the elevation.

‘Why, Sam,’ he said, ‘to hear you somehow makes me as merry as if the story was already written. But you’ve left out one of the chief characters: Samwise the stouthearted. “I want to hear more about Sam, dad. Why didn’t they put in more of his talk, dad? That’s what I like, it makes me laugh. And Frodo wouldn’t have got far without Sam, would he, dad?”’
‘Now, Mr. Frodo,’ said Sam, ‘you shouldn’t make fun. I was serious.’
‘So was I,’ said Frodo, ‘and so I am.’

LotR IV, viii

Modern people tend to view this kind of political manipulation with distaste. But older generations didn’t think there was anything froward about it. Frodo told Sam to do it explicitly:

You will be the Mayor, of course, as long as you want to be, and the most famous gardener in history; and you will read things out of the Red Book, and keep alive the memory of the age that is gone, so that people will remember the Great Danger and so love their beloved land all the more.

LotR, VI, ix

Or did he? All we have to do is decide what to do with the text that is given us.

Mythmoot Lúthien Seminar

Since Beren and Lúthien was just published, we paid a lot of attention to it at Mythmoot IV. In this paper session, it got crowded in the dell under Weathertop. Along with Aragorn and the hobbits, Kate Neville, Tom Hillman, Trevor Brierly and about 20 others were eavesdropping. This took the form of three talks about Beren, Lúthien, and the song of Tinúviel. All three talks referenced the Mythgard Academy class on Return of the Shadow, appropriately enough.

Kate Neville: How much does a linden-leaf weigh, anyway?

Kate handed out four different versions of the song Aragorn sings, written over 30 years. What is a ballad, anyway? We don’t know what JRRT’s definition was, but the etymology is “something to dance to”. Repetitions of words match repeated steps in a dance. The ballad is separate from the “Tale of Tinúviel”. The ballad has seasons in it; where the story takes place over a few days. Kate thinks putting the dancing Luthien into a song is the origin of her power as a singer.  “Whenever I see the leaf in ‘Leaf by Niggle’, I think of a linden.”

Hemlock umbels, high enough to dance under

Umbelliferous Hemlock

Since we’re discussing Lúthien’s weight, let’s discuss her height, too. My farm got a lot of rain this month. Most of the hemlock-umbels are four feet off the ground, as usual. A few, though, are almost seven feet high. A daughter of Thingol could easily have danced under the tallest ones. We know Tinúviel had extraordinary grace, because the tall hemlocks are all on a riverbank where the land is on a one-to-one slope. Only an elf could dance there without falling in the water.

Tom Hillman: “She died.”

Tom started with a contentious assertion: that Aragorn’s coda to the song was the biggest disappointment in Peter Jackson’s movie. That’s a tough competition, but he made a good case. Aragorn’s step away from his historical role means that he has to reduce Arwen’s eventual choice to a purely personal level. This is one of the moments where the depth of Middle-Earth comes out, in the book. The movies were completely de-mythologized, so that had to be deleted. There’s no hope in the movie version. No Silmarils, no victory over Morgoth. How could there be? In the movies, the indicator of enormous evil power is that you’re really big and can hit a lot of people with one swing of a mace.

One metaphor I loved: In the Mythgard class, Corey Olsen made a big deal out of identifying exactly where JRRT brought the two worlds of the Silmarillion and The Hobbit into conjunction. Tom points out that this is a necessary consequence once the world was made round. Parallel lines never intersect in a flat geometry, like the world before Ar-Pharazôn’s little folly. But parallel lines always eventually cross on a globe. In the Third Age, the Hobbit and The Silmarillion couldn’t be kept apart.

Trevor Brierly: how Lúthien became a “maiden, elven-wise”

Lúthien doesn’t do anything in the earliest poem, but the “Tale of Tinúviel” makes her into an agent. The part where Beren is stalking her stops being creepy, because she knows he’s watching and encourages it (without telling him, of course). In The Fellowship of the Ring version, she actively embraces Beren. As Kate interjected, “Beren keeps trying to get away, and she keeps showing up wherever he is.”

We had a great discussion afterwards, which only happens when everybody is keyed onto the same topic. That doesn’t always happen when three distantly-related papers get put into a session.

One item that came up, relevant to my chairmanship of the Committee for the Defense of Celeborn: The reason Celeborn always just says “yes, dear” is buried deep in the First Age. “At times Melian and Galadriel would speak together” and Galadriel learned a lot. Celeborn was watching, too. He saw how Thingol never listened to his wife, and what happened to him. Celeborn let his wife do the talking, and he lasted through two more Ages of the world. Smart guy.

Verlyn Flieger – Wonder is a three-body effect

In which your humble Idiosopher follows the Straight Road, or as some might say, goes off on a tangent

Edited to add:  A video recording of the lecture is now online.

Verlyn Flieger gave the Saturday plenary lecture at Mythmoot IV. She took the theme of the conference “Invoking Wonder” literally, with spectacular results. This has taken me a long time to get written, so there are some good reviews out there already. Kelly has a comprehensive recap, which is a good place to start. Sørina has a précis. Lee zooms in on one feature of the lecture — how to teach wonder. I’m going to zoom in on another.

As Prof. Flieger describes it, “wonder” is a three-body situation. Otherness is one essential component; a thing that’s outside the viewer’s experience is where it starts. An observer, someone looking at it, is the party of the second part. “Hey, look!” is their reaction. (Or “Ele!” if you’re an elf seeing the stars for the first time.). Which brings us to the third part – the observer needs someone to say that to. You can’t keep wonder to yourself. The term Prof. Flieger uses is “rebound”, like a combination shot in billiards. Back in Cuivienen, JRRT writes the awakening of the elves so the elves see the stars, and the wonder of the stars bounces off the elves and comes to us. Then she quoted Owen Barfield, who once said that there is no such thing as an unseen rainbow. The metaphor is so exact that I’m sure Prof. Flieger intended us to think of the way a rainbow is generated, as light from the sun bounces inside raindrops and back to our eye. She then followed with a list of examples where JRRT does the same thing. The Arkenstone, the Window on the West, the Glittering Caves…. Curious — more than half of the examples involved refraction. I’m sure it’s purely a coincidence that her first book was entitled Splintered Light.

Prof. Flieger polled the audience to see how many of us were fans of E.R. Eddison. (Five.) She used him as a not-so-good example of invoking wonder through extravagance, not recovery. Her passage from Eddison overwhelmed the reader with almost Rableaisian lists that include both familiar and exotic delicacies. I’m one of the fans, so I felt like leaping to his defense. Eddison could use the rebound effect himself when it was important.

Let me interject a personal confession here: I don’t grok heroes. High romance needs heroes to make things come out at the end, but it’s hard to make a character unique and flawless at the same time in a way to which I react well. One reason I love Tolkien is that he managed to write Aragorn exactly the right way to do that. (Peter Jackson couldn’t.) The only comparable achievement I know of is what John Steinbeck did with Lancelot, whom I’d never cared for until then.

E.R. Eddison uses the rebound technique in The Worm Ouroboros to get around the fact that Lord Juss is such a good guy that, to me, he’s a blank spot on the page.
Here’s Lord Brandoch Daha:

His gait was delicate, as of some lithe beast of prey newly wakened out of slumber, and he greeted with lazy grace the many friends who hailed his entrance. Very tall was that lord, and slender of build, like a girl. … His buskins were laced with gold, and from his belt hung a sword, narrow of blade and keen, the hilt rough with beryls and black diamonds. Strangely light and delicate was his frame and seeming, yet with a sense of slumbering power beneath, as the delicate peak of a snow mountain seen afar in the low red rays of morning. His face was beautiful to look upon, and softly coloured like a girl’s face, and his expression one of gentle melancholy, mixed with some disdain; but fiery glints awoke at intervals in his eyes, and the lines of swift determination hovered round the mouth below his curled moustachios.

We know him. The too-pretty, too-well-dressed façade that conceals a deadly fighter is a perennial figure of romance, like Aramis in The Three Musketeers or Simon Templar or Sir Didymus. I can root for this guy. Lessingham assumes he must be Lord Juss, but no. There’s another remarkable figure there, for whom the earthling makes the same mistake,

… apparelled in black silk that shimmers with gold as he moveth, and crowned with black eagle’s feathers among his horns and yellow hair. His face is wild and keen like a sea-eagle’s, and from his bristling brows the eyes dart glances sharp as a glancing spear. A faint flame, pallid like the fire of a Will-o’-the-Wisp, breathes ever and anon from his distended nostrils. This is Lord Spitfire, impetuous in war.

We know him, too. Heroes who are like birds of prey form a long line: Hawkeye, Hawkmoon, Hawkwind, Hauksberg… and that’s just the “H”s.  Then we meet Lord Goldry Bluszco:

[Y]on lord that bulks mighty as Hercules yet steppeth lightly as a heifer. The thews and sinews of his great limbs ripple as he moves beneath a skin whiter than ivory …. Slung from his shoulders clanks a two-handed sword, the pommel a huge star-ruby carven in the image of a heart, for the heart is his sign and symbol. This is that sword forged by the elves, wherewith he slew the sea-monster, as thou mayest see in the painting on the wall. Noble is he of countenance, most like to his brother Juss, but darker brown of hair and ruddier of hue and bigger of cheekbone. Look well on him, for never shall thine eyes behold a greater champion than the Lord Goldry Bluszco, captain of the hosts of Demonland.

Of course the big kid whom none of the other kids can tackle might be the oldest trope in epic literature. He’s such a compelling figure in stories that he can serve equally well as the villain if (e.g.) we only have the Hebrew version of a tale.

Here’s where Eddison sets up the five-way combination shot: Spitfire is first to say Lord Juss is the best general. Goldry Bluszco wouldn’t want to fight Juss hand to hand. And when Brandoch Daha and Juss are traipsing up mountains in search of hippogriff eggs, there’s no question who the tougher soldier is. So even though Eddison doesn’t have Tolkien’s chops as a writer, Lord Juss is wonderful because all these familiar heroes are vouching for him.

That was a long digression, but it shows the power of this formal construction of wonder. As always, Prof. Flieger set up an excellent punchline to her lecture, with Gimli’s description of the Glittering Caves to Legolas. We’d never seen Gimli show a lyrical side before, but here he goes to extremes and even uses a sea metaphor to impress the Elf. This isn’t just us seeing a wonderful site through his eyes: the complete ricochet is Gimli->Legolas->caves->reader->Gimli. JRRT wants us to see Gimli, not the caves, when we read this passage.  Altogether, a wonderful lecture and a way to perceive the issue I would never have thought of myself.

The Hippogriff:  Lord Juss’s Emblem

Sørina Higgins: Real Modernisms

Edited to add: A video of this lecture is now online.

Sørina Higgins gave the Sunday plenary talk at Mythmoot IV.  She thinks we need a new story for imagining literary communities and literary modernism. She uses the Great Dance at the end of Perelandra as her starting point.

He thought he saw the Great Dance. It seemed to be woven out of the intertwining undulation of many cords or bands of light, leaping over and under one another and embraced in arabesques and flower-like subtleties. Each as he looked at it became the master-figure or focus of whole spectacle, by means of which his eye disentangled all else and brought it into unity — only to be itself entangled when he looked to what he had taken for mere marginal decorations and found that there also the same hegemony was claimed, and the claim made good, yet the former pattern was not thereby dispossessed but finding in its new subordination a significance greater than that which it had abdicated.

C. S. Lewis, Perelandra, p. 218
Cover of Perelandra, 1979 MacMillan edition

I’m writing this on the porch, on a sunny day in June. The book cover matches the lawn beautifully.

Professor Higgins’s revision to the story of the Inklings is radical: there was no group called “the Inklings”, in the sense that there was a group called “The Beatles”. The name is better thought of as a constantly-changing configuration of influences among people who flowed in and out of each others’ notice, and whose significance in each others’ works ebbed and flowed over time.

If you try to use rigid identifications to describe something as chaotic as twentieth-century communities, you’re bound to miss things.  In the case of the Inklings, what you miss is their engagement with Modernism. If you think of four Dead White European Males turning their backs on the industrial world you don’t see: women, Americans, pulp magazines, romance novels (in the XXth Century meaning), or their keen perception of advances in science.  Others have noticed this before, of course. Critics have designated a raft of /[a-z]*-modernist/ schools. That regular expression could be low, high, pulp, pop, inter, outer, or whatever else. Any time you have an explosion of hyphenations in scholarship, it’s a sign that we’re ready for some kind of theoretical unification. (They give Nobel prizes for that in physics. It’s what quarks do.)

Prof. Higgins proposes that we should use network theory to create “meta-fictional narratives”, and basically told the audience to get to work. (This was the second action item from a plenary talk last weekend.)  OK, let’s.

It’s easy to see how the network nodes are defined; there’s almost certainly going to be one for each person. The value of the writer’s nodes will be time-dependent, describing their works in progress. We’ll need some specific non-null value for anyone who’s not writing something, but interacts with writers in other ways. (I’m thinking of Joy Davidman, and that may be the most discreet sentence I’ve ever written.)

The links in the network will be the hard part. Interactions between writers don’t fit onto a numerical scale. (And that may be the worst understatement I’ve ever written.) I have no idea what kind of quantitative analysis is possible when a link value is chosen from a set like {influenced, discussed with, expanded upon, refuted, deliberately ignored, stole from, converted, ran off with the wife of, …}.

Link values will also be time-dependent, so the whole network will be time-dependent. I foresee lots of cool animated graphics at future conferences, if Professor Higgins has the kind of influence on Modernist Studies that I suspect she will.

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