Knowledge Problems

Sunday, May 28, 2006

Existential Anime

Where were you when I laid the earth's foundations,
Speak if you have understanding.
Do you know who fixed its dimensions
Or who measured it with a line?
Onto what were its bases sunk?
(Job)


Ring the bells that still can ring
Forget your perfect offering
There is a crack in everything
That's how the light gets in.
(Leonard Cohen)


I just saw an amazingly sad and thought-provoking Anime yesterday called Haibane Renmei. It is 13 episodes and available on DVD from Amazon (i.e., legally) and on BitTorrent. Except for a couple of moments, it is free of those Anime elements that make some Americans uncomfortable (e.g., manifestations of the cavalier Japanese attitude toward nudity and sexuality), so I would recommend it without reservations. I suspect it's best viewed with subtitles.

The story is heavy with Christian themes of sin and salvation (which is very unusual for Japanese animation), although there is no reference to any particular Christian mythology. But these themes of sin and salvation are in some measure also Jewish, and indeed are now largely universal. We all wonder what will become of us ultimately, whether and how anything we do here and now can influence our final disposition, and we all hope that somehow even if we've gotten everything completely wrong, that there might be a compassionate Father-in-Heaven who knows how we struggled, and will accept us even if we have nothing to offer other than our failures. But our deepest wish of all is not to be left alone. If our loved ones do indeed go somewhere after this life, our dearest hope is that we will be able to rejoin them someday. (One can see this desire already in Genesis, where the patriarchs when they die are "gathered to their kin.") There is no concept more devastating or painful than the idea that at the end of our days, we might be somehow be left all alone, never again to be reunited with our loved ones. There could be no fate more cruel than that.

(Incidentally, the depth of this fear is why religion has gotten so much mileage out of bludgeoning people with visions of Hell and Purgatory. The fear of Hell is not ultimately the fear of fire and torture, but the fear of being forever separated from the people you love.)

The premise of Haibane Renmei itself is in some regards strangely similar to the The Prisoner, and yet it is utterly different. The outline of the story is that there are certain children who are periodically born into a small village which is sealed off from the outer world by impenetrable walls. These special children are not born as infants from human mothers, but emerge mysteriously from cocoons at the ages of between 5 and 12 years old. They are called "Haibane" because that is what they have always been called. (Haibane might mean "Charcoal Feather" in Japanese. Not sure.) There is no rhyme or reason to any of this: At random periods, a cocoon will spontaneously grow in some isolated location in the village, and eventually a Haibane child will emerge. The Haibane children are fully aware that they have had some prior existence before emerging from the cocoon — an existence that included a home somewhere and a family — but they cannot remember anything in particular about that prior existence, not even their own names. After emerging from the cocoon, each child is given a new name by the older Haibane children based on the dream that the child experienced while in the cocoon. Each child sprouts cute little wings and is given a halo, so they look like the classical figure of an angle. However, the wings are flightless, the halos functionless, and in every respect the Haibane children remain just ordinary children. There is no information available to the children about where they came from, why they appeared in this village at this time, or what purpose their existence might serve. The Haibane's existence is a complete and utter mystery to the Haibane themselves.

In addition to these Haibane children, the village also contains a majority of normal humans who reproduce in the classic fashion. However, neither the Haibane nor the humans are permitted to leave the village. The human villagers generously give the Haibane children jobs to do, and the two species coexist peacefully. However, while the human villagers go through the normal human life cycle of aging and death, it's a different story for the Haibane. At a certain time in the life of these children, they just disappear. That is, at some moment — usually a few years after their "birth" — they suddenly begin to feel that "their time has come," and they walk alone into the Western Forest where they are mysteriously "beamed-up" as a column of light. This is their "Day of Flight." And just as they have no knowledge of how or why they came to this village in the first place, there is no knowledge of how or why they leave it. It's just how it ever was, from time immemorial: A new Haibane is born into the village, lives, laughs, and loves for a short few years, and then mysteriously disappears. Some of the older Haibane children have watched many of their friends disappear in this fashion and have almost become accustomed to it, wondering only when their own turn will come. Others of the children find it very difficult to be suddenly abandoned by their close friends in such an abrupt manner. (Since they have no parents, their friends are their family.) But again, there is no rhyme or reason. It's just the way things are.

Naturally, the fondest wish of every Haibane child is that when their Day of Flight comes, they will be reunited with their dear friends who have previously left them. And their greatest fear is that they might for some reason be left behind (as some indeed are), to live alone and die alone.

This is all food for thought, but besides the great sadness of the story itself, what is even sadder in some ways is the "knowledge deficit" of these children. What do they know about anything? At any given time, the oldest of the Haibane children are perhaps 16 years old. (Only a few children reach this advanced age without yet having had their Day of Flight.) And the knowledge that any of these "seniors" possess is just the scattered bits of lore that the previous generations told them over the years. The older Haibane have certainly witnessed many new Haibane being born, and they have witnessed many of their friends depart. They therefore know something of how to care for and acculturate the "newborn" Haibane, and they know something of how to grieve for their departed companions.

But they have no insight. They have no answer to the question of "Why?" Indeed, the most painful fact is that there is no one to whom they can even ask their questions: "Who am I? Why am I here? What is my purpose? What should I do? Where will I go on the Day of Flight?" There is no one who has the answers. There are only the children themselves.

All they can do is live day to day, enjoy the time they have together without knowing how long it will last, and ultimately just accept the essential mystery of their existence. Perhaps on their Day of Flight they will finally learn the answers to their questions, but perhaps not. Perhaps the Day of Flight is simply The End, after which they will have no existence at all. Or perhaps the Day of Flight is the entrance to a new level of existence, a new cocoon, a new village. Or perhaps it is a passage back to the forgotten place they originally came from. All they really know is that it is a journey they cannot refuse. And so they all hope for and believe in the best-case scenario... that wherever they do end up going on the Day of Flight, it will be somewhere that they will be reunited with all of their friends that they had lost.

And so my first reaction after watching this series was "Those poor children." They have to live this existence of uncertainty, not knowing who they are, where they came from, where they are going, or what the meaning of their very existence is. They have no answers. They have no teachers. They have no oracle or prophet. No one has been beyond the village walls. The Haibane children have nothing but a few scraps of mythology passed down by prior generations of Haibane children who were as much in the dark as they are. "Those poor children," I think.

But then I think, isn't this exactly our own situation? We are those poor children. We have no oracle to whom we can ask questions such as "Why am I here? Where did I come from? What is my purpose?" Indeed, "Who can possibly know what is best for a man to do in life — the few days of his fleeting life? (Kohelet)" There are none of us who stand at some Archimedean vantage point, and to whom we might entreat, "What is the view from there?" Likewise, we know not what will become of us when our time is finished. "For who can enable him to see what will happen afterward? (Kohelet)"

Like those poor Haibane children, we too have no one who has been beyond the walls. All we have are the snippets of mythology which were given to us by former generations who were even more in the dark than we are. Indeed, we are all abandoned children, with no adults to guide us, to teach us. When our newborns ask us "Why?" we tell them the same story that was told to us. Whether we tell them a scientific story or a religious story, all we can ultimately say to them is "Here is what I was told. I don't know if it's right or wrong. Perhaps some day you will know more."

I hear babies cryin', I watch them grow,
They'll learn much more than I'll ever know.
And I think to myself, what a wonderful world,
Yes, I think to myself, what a wonderful world.

Wednesday, May 03, 2006

Plato Lets Us Off Too Easily



What do you see when you play this movie? If your vision is at all intact, you perceive motion, and you almost certainly also recognize that there is structure and coherence to the motion. In other words, you probably feel fairly confident that the motion you observe is not random, but reflects some underlying process — that there is an explanation of some sort that accounts for what you are seeing. And you would be right. Congratulations — that's no small achievement.

But how much more can you say about what the process actually is? It could be a lot of things, right? You don't really know, other than that it's structured motion, as already stipulated. But you might take the evident periodicity of the motion to be suggestive of rigid body rotation, and you'd be right about that. This inference might be reinforced if you recognize the shiny blue thing to be some kind of semitransparent glass or crystal, in which case you might conclude that it either contains or stands in front of the rotating rigid body. And knowing this would allow you to further deduce that some of the evident curvature of the rotating object might be a mere "trick of the light" as light is refracted and reflected within the glass. And if you can get as far as dismissing the curvature as artifactual, then you may find that some of the angles suggest something vaguely cube-like in nature. And you'd be right there too.

As shown in the second movie, the source of motion is in fact a rotating wire-frame cube, which happens to be located a considerable distance behind the spherical glass, and illuminated from behind.



What I am trying to get at here is how difficult it can be to get to the "truth" of the matter — to describe the way things really are. You might protest that "actually, it wasn't that difficult at all." Maybe you instantly detected a rotating cube behind or within a glassy substance. Well, OK. But remember that besides the unusual wire-frame cube (whose actual structure I assume you did not guess from the first movie) there was nothing spectacularly alien about the scene. Identifying an object lit from behind and viewed through heavy glass is not categorically different than identifying an object lying under a few feet of moving water in a river or creek, something we are fairly good at most of the time. (To make the example stronger, try to imagine the appearance of the cube after being refracted or reflected through a series of heterogeneous materials, rather than just one piece of glass.)

My point is this: Plato's Allegory of the Cave paints our epistemological challenge as one of inferring the true structure of reality from a linear projection of that reality into a lower-dimension subspace. Information is lost in this projection, since features which exist independently in the real world are collapsed together in our perception, just as in the allegory three dimensions are collapsed into two dimensions (shadows on the wall). However, by invoking an analogy involving mere linear projection, Plato lets us off the hook too easily. Indeed, one might protest that Plato's shadows actually yield a good deal of information about the structure of the real world. Provided we know the manner in which the shadows are produced and that we have the capacity (!!) to conceive and reason about a third dimension, we denizens of the cave could probably make some fairly good inferences about what goes on in the three dimensional world beyond our experience.

For example, imagine the simple 2-dimensional projection (shadow) of the rotating wire-frame cube. Seeing this shadow on a wall, you would very quickly deduce the structure of the actual 3-dimensional object, because this projective mapping is very simple. [We of course have to note the inevitable presence of inductive ambiguity that arises when dimensional information is lost. In the case of the wire-frame shadow, the direction of rotation will be underdetermined because the "front" and "back" of the cube cannot be distinguished in the shadow.]

A naive extrapolation of Plato's analogy might therefore lead one to believe that the problem of ontology is just figuring out how many actual physical dimensions are linearly projecting into the three dimensions of our experience, and then making inferences about what actual n-dimensional entities correspond to the 3-dimensional entities we observe in our perceptual subspace. We then end up with a naive "Flatworld" ontological attitude, which holds that what actually exist in the world are n-dimensional entities which project linearly (or worse, orthogonally) into our own three dimensions. So, in this view, while we do not perceive the real world, we perceive a subspace of the real world in which objects have a fairly simple relationship to their actual n-dimensional counterparts.

The problem is that there is no reason a priori to think that the world of our experience is a simple linear projection of some higher-dimensional reality. This is what I am trying to illustrate with the movies. What if, like the image of the cube refracted through heavy glass, the entities in your observational subspace are related to actual entities in the world in some highly-complex manner, and that the actual nature of this relationship is utterly unknown to you? This is our actual epistemological situation. It is certainly reasonable to think, like Plato, that the objects of our experience are related to some broader reality beyond our perception. But it is wrong to think that we know anything about the structure of that relationship. Indeed, how can we ever characterize the properties of that relationship without first knowing something about the broader reality itself. One cannot characterize a relationship between two sets of entities when only the properties of one set are actually known. And yet...