Showing posts with label mathematics. Show all posts
Showing posts with label mathematics. Show all posts

Sunday, September 7, 2008

Counting to four

Recently Hillary showed me this video of Feist singing “1, 2, 3, 4” for Sesame Street.



I found the video very funny, and particularly enjoyed the way Feist’s dancing mimics the movement of the muppets – head upturned, mouth wide open, body being flung from side to side. The clusters of muppets seem to drag her around the set, as if she’s a muppet herself. As Hillary pointed out, this version is more appealing than the original.

The lyrics aren’t especially clever; it’s obvious that it was a pre-existing song being adapted to fit an educational theme. It’s charming nonetheless, especially the earnestness with which the merits of the number four are announced: it’s “one less than five, and one more than three.” I mean, who can argue with that?

The song blithely suggests that there’s something natural about counting up to your favorite number (in homage?). In fact, what’s amusing about the song is the absurd specificity of the activity being lauded, not just counting (as high as you can), but counting to four.

I suppose it could be argued that all the counting represents a set-theoretic construction of the number four (i.e. as a set of four elements). The singer then points to a three-dimensional Arabic numeral 4, singing “I see four here,” and correlates it to the four penguins she’s just counted (one, two, three, four) by pointing to them and singing “I see four there.”

Of course, any pedagogical achievement in that line is undermined by the next two: “My favorite number/ Nothing can compare.” Contra the lyrics, usually natural numbers don’t inspire affect (“my favorite,” and the gesture of laying the hand over the heart). Instead they are the abstractions by which certain kinds of comparisons become possible (to wit: four monsters, four penguins, four chickens, "one less than five and one more than three").

But in general, counting over and over again is usually read as a symptom of obsessive compulsive disorder. Émile Zola suffered from this particular obsession, and experienced deep shame that, while publicly committed to a scientific program, he privately performed over and over these rituals of order that were essentially superstitious.

Part of what’s appealing about the Feist video is the unironic joy in counting to four. But I wonder if that appeal doesn't have more to do with its absurdity -- an absurdity specifically associated with children's (perceived) cognitive limitations -- than with any actual desire to get toddlers pumped about counting to four. And perhaps a bit of the pleasure comes from the juxtaposition of those perceived childish limitations (counting, not as high as one can, but to four, and not because it's useful but because four is your favorite) with our own adult sophistication -- our recognition of the tune from a different context, etc.

Of course, I still like the video. And is anyone else detecting a subtle shout-out to Lyn Hejinian here? Like plump birds along the shore? Yes?

* * * * *

In other news, I sincerely hope that Poe studies have not really come to this.

(Of course they haven't; it's just that the NYT would rather report on this than on anything actually literary.)

Friday, December 28, 2007

MLA 2007: some notes

It's the second day of MLA, and I'm sort of horrified that there's just as much more to come.

I've heard many good talks and some miserable ones, and some in between. Here are some highlights so far:

Session 21: The Challenge of a Million Books

The crappy panel title notwithstanding, I thought this session, run by the Association for Computers and the Humanities (program here), was very good. Each of the presenters discussed computational methods in literary research. Brad Pasanek and D. Sculley (the latter not present at the panel) used a classification algorithm to test how well patterns in metaphor predicted political affiliations; they have a database of metaphors at http://metaphorized.net, which could come in handy sometime. Glenn Roe and Robert Voyer used text mining to try to understand the classification of knowledge in Diderot's Encyclopédie, and Sara Steger used similar techniques to try to make more precise the formulaic quality of sentimental writing. Good times. I would be especially interested in learning more about pedagogical applications for these techniques.

Session 85: Micro: Studies in the Very Small

Wai Chee Dimock gave the first paper, "Fractals: The Micro in a Global World," and much as I respect Dimock as a scholar, I must say that I found her use of "fractals" entirely specious. She began by suggesting a loosening of the idea of fractals in order to think of self-similarity in terms of scalablility and the structural self-similarity of epic as a genre. Perhaps I was missing part of what was going on, but Dimock's paper struck me as an old-school organic unity paper with the word "fractal" stuck on it. By loosening the definition of "fractal," the usefulness of which I was already dubious, I felt that she robbed it of its power as a concept. She also used the term "recursion" to mean, more or less, repetition, again diluting the meaningfulness of the concept of recursion. It is possible that the short format of the talk prevented Dimock from supplying some crucial justifications for these moves, but I simply came away from the talk with the sense that she has little understanding of complex dynamics, and that they bear no relation whatever to the epic as a genre.

I found Robert Rushing's paper, "Fractal Microscopy: Blowup, Greene, Calvino" more convincing and quite entertaining. Rushing discussed how three texts try to assimilate the traumatic sublime of quantum mechanics (its impossibly small scale, its discreteness, its counterintuitiveness) to everyday life through ideologically charged metaphors. This was my favorite talk in the panel, and came away with an urgent feeling that I need to see Antonioni's Blowup.

Anna Botta gave a paper on dust. I more or less liked it, but can't say much about it, since it was mainly an art history paper and discussed a lot of works that I wasn't familiar with.

James Ramey gave an interesting paper called "Micropoetics: Nabokov's Small-Scale Parasites," which refreshingly used science in a legitimate way. Ramey explored how Nabokov uses the metaphor of the parasite to characterize creativity, especially literary creativity--a sinister generativity. I wound up asking him a question at the end about the difference between being the gestating egg and the egg-laying parent bug, since Nabokov seemed to be enormously interested in the "sting" of the egg-laying. (Some dim person in the audience turned around and suggested that it would help to think of the parasite as species rather than as individual bugs, as if I were confused about it. Sigh.)

Session 93: The Press

This session was arranged by the Division on Nineteenth Century French Literature.

I really enjoyed Cary Hollinshead-Strick's paper, "Personifying the Press: Newspapers on Stage after 1830," which looked at how vaudeville and the press spoke to and about one another.

I also enjoyed Marie-Eve Thérenty's paper, "Vies drôles et scalps de puces: Des formes brèves dans les quotidiens à la Belle Epoque," which looked at a hitherto little-noted genre of short, humorous newspaper pieces. It was a very interesting talk, but as it was in French, I'm sure I only caught about a third of it.

Evelyn Gould's paper, "Among Dreyfus Affairs: The Emergence of Testimonial Chronicle," similarly engaged in a kind of genre study, this time of very long works somewhere in between journalism and autobiography. I'm not really sure I understood how she was theorizing "testimonial chronicle," but she discussed the texts in interesting ways.

I went to a mostly miserable panel late on Thursday evening. It will remain nameless.

I also went to a panel today solely because a friend was presenting a paper on it. In my completely unbiased view, hers was the best paper on the panel, which was on nineteenth century American women's religious poetry. Apart from my friend, one panelist seemed to be trying to recuperate this corpus, which has been widely charged with crappiness, but she seemed to want to do so by pointing out a few exceptional writers (i.e. yes, this genre is crappy, but here are a few diamonds in the rough), and by valorizing these writers in spite of form. I'm baffled. I do want to check out her book, however. The other panelist seemed to have, um, missed the last 30 years of feminist studies?

Session 324: Brave New Worlds: Digital Scholarship and the Future of Early American Studies

I mostly liked this panel; I didn't come away with anything portable, but I learned some stuff about Samson Occom, and am interested in the Charles Brockden Brown Electronic Archive, which draws on fourteen different physical archives, which must be a giant pain in the butt for the people on the project. Interestingly, one presenter was Michelle Harper, the director of project management for Readex. Apparently they're coming out with an interesting feature in which you can annotate digital editions from their archive. It looks cooler that I'm making it sound here, but my notes are sadly devoid of detail, and I'm too spaced out now to remember it.

I gave my paper this evening, but perhaps I'll post on that panel separately, or not post on it at all.

Today I ran into some friends, a former professor, and a woman from Stanford with whom I once took summer German, which was nice. Margery Kempe was right, though: MLA is a desperaat tryal and a terribil oon amonges devils and hir ministeres and necromanceres.

Saturday, September 15, 2007

Hardy and Ramanujan

Gilbert and Gubar open The Madwoman in the Attic provocatively with the question, "Is the pen a metaphorical penis?" Their aim is to show how literary creativity has historically been figured as specifically masculine. It's a nice opening, because it makes you think, "oh, those crazy 70's feminists!" And then they go on to quote male author after male author who makes it clear that he thinks the pen is a metaphorical penis.

I recently ran across an article [.pdf] by Moon Duchin that touches on the same subject, only with respect to the idea of mathematical genius. Moon's language is, of course, much more measured than Gilbert and Gubar's, but it's a fascinating read even sans provocative introductions.

A more substantial difference is the way that Moon addresses mathematical genius in particular. Mathematical genius and any other kind of genius were once pretty much the same (masculine) idea, but mathematical genius has since branched off and become a special creature on its own, due in part, I suspect, to the redistribution of cultural capital that attended industrialization. The article gestures toward some reasons why mathematics as a field has become the location of genius par excellence, which is in itself an interesting question.

One of Moon's examples of the mythologizing of mathematical genius is the biography of Srinivasa Ramanujan (the Wikipedia entry, as of this writing, reproduces many of the features Moon identifies--and his "genius" is brought up in the very first sentence). I didn't know much about Ramanujan before reading Moon's article; I'd always thought of him as "guy whose name is attached to theorems I don't understand."

This week the New York Times has a review of David Leavitt's novel The Indian Clerk, a fictionalized account of the relationship between G.H. Hardy and Srinivasa Ramanujan. I'm almost tempted to read it to see what it does to the genius paradigm. Predictably, the review contains some howlers, to wit:
Class, like mathematics, consists of complex equations that may shift with the substitution of different values for X and Y, but the equations themselves remain rigid and fixed.
I'd be interested to see what, exactly, Leavitt does with class (surely he doesn't evaluate some equations).

I've long been contemplating a "poetry for physicists" syllabus, but I'd never considered using a novel (it would ruin the poetry gimmick, don't you know). I guess The Indian Clerk goes somewhere at the bottom of my reading list.