The Messy Middle

The world we study for

We ask children to spend a dozen or more years in school, preparing to live life out in the world.

We separate the things they learn into modular classes on different subjects. Math. Physics. History. Logic. The building blocks of adult existence, we tell them.

We give them tests to make sure they understand the material. We want correct answers. We make sure there are correct answers. We want to be able to defend that we're asking good questions so we can demand good answers. Answers that are clear and precise. That's how we score success. Numbers of correct answers.

The logic we teach is equally precise. It's not enough to know things. One must be able to start with things that are known, apply rules of implication, and conclude new things. It's impossible to know everything about the world, so you need some way to infer new things from existing things. Logic is key.

The world we're left to confront

Alas, the actual world is nothing like what most schools prepare kids for. It is not arranged in neat little packages, everything is mixed together. There are no clear right or wrong answers, everything seems a jumble. Even logic itself seems sometimes to lead crazy places.

That last part, about logic, comes as a surprise to many, but it really shouldn't. It turns out that the logic we learn in school is not as applicable to the real world as we are led to believe. It can sometimes help, but it can sometimes play tricks. Let's look at why that is.

On constraints and overconstraint

I'm going to use some terminology here that some people might know, and some might not. They aren't hard concepts, but I want to just make sure we're all on the same page.

If I speak of constraints, I mean the things that you might see in the right hand column of a shopping page like at Amazon where you're searching for a toaster and you can click boxes saying that you want it to be green, no more than 14 inches high, and under $30. Whatever comes back to me should satisfy those constraints.

You might specify constraints at a dating site, too. Maybe it gives you a chance to specify things like that the person should be the same height as you, good looking, funny, smart, high income, humble, kind, and likes long walks on beaches. So you punch all that in and nothing comes back. That's called overconstrained. It means you specified so many things that you're being unrealistic.

Our world is regularly overconstrained

Constraints are ways of saying what we want, but only certain constraints are possible to satisfy at the same time as others. We can't have everything. It's not about the number of constraints, and yet if you're not paying attention to which constraints are compatible with which others, the more constraints you add, the less likely it is that you'll be able to satisfy them.

• We want a house in a nice neighborhood that is also cheap, has a big yard, and is downtown where it's close to restaurants.

• We want politicians that are able to get elected but also don't take special interest money, are going to make disruptive change, and are not going to be kept from being elected by entrenched powers.

• We want restaurants that offer delicious food but that are super-cheap, pay their servers well, are not too crowded to be easily seated, and yet don't go out of business while they're never full.

• We want a diverse world, yet somehow also always one that specifically agrees with our own sensibilities.

So often, the things we demand of the world are not even themselves consistent. In effect, the world is overconstrained. It could not even exist in a form that matches our own constraints.

Our inconsistent world

Physics isn't bothered by such inconsistency because Physics isn't built on our descriptions, our descriptions are built on Physics, sometimes badly.

Also, Nature does not name things. Nature does not describe things. Nature just is. And nature is consistent. It is just Physics played out. And Physics is consistent.

It's our language, our culture, our personal preferences that are inconsistent. So when I speak of “the world” or “our world,” I usually mean to imply “in the way we have conceived and spoken of it.” And when I say “I usually mean,” I mean just that—sometimes yes, sometimes no. Please don't ask me to be consistent. 😀

Descriptive inconsistencies by themselves are harmless. People enjoy books of fiction all the time because they do not confuse what happens in stories with real life. The only problem comes when description, especially inconsistent description, is asked to do double duty, to also be statements of fact that can be reasoned about by logic.

It's not all terrible

But let's give ourselves some credit. We are born into a world where we receive a mass of nerve signals as our only initial input, yet somehow from that we infer that language is going on around us, and we figure out how to learn it just by watching and listening. We are helped by society to study what is already known about the world, and within our all-too-short lifespans, we find that vast complexities, from genetics to the far reaches of the Universe are within our grasp. And we navigate disciplines like psychology, sociology, economics, the weather, and even the arts, even as none of these lend themselves to precise formulas.

So I think we can be forgiven a bit of approximation, overgeneralization, and, yes, inconsistency. To ask better might put all such ambitions out of reach. Frankly, it's stunning we can do any of that in so short a time, so we owe ourselves a collective pat on the back before we stress overly.

Our disappointed children

And yet, a world full of overconstraint and inconsistency is one where that logic we taught in school does not apply. In traditional logic, the way you often prove something is to show that thinking the opposite would lead to a contradiction. But if contradictions are already there waiting, that means you can prove anything.

Contradiction is table stakes in our world. It's the beginning of the story, not the end. It can't be a proof technique because the contradiction was there before you started your proof.

We teach children that contradiction implies a problem, and then we turn them loose on a world full of contradiction. Is it any wonder that upon being thrown unprepared into a world that is nothing like the world we prepared them for, the first thing they do is call adults hypocrites? It's what we trained them to do!

It takes our children time to figure out the world they end up in. And by the time many do, they're the adults the next crop of kids will arrive to despise as hypocrites.

The gaps we've left

We never taught them a Philosophy of Inconsistency, but they needed something like that before we turned them loose on the world. Inconsistency is everywhere and we should have prepared them for that. And for the fact that the answers might not be easy. Instead, right down to the bitter end, we require modular, teachable concepts with measurably right answers.

There are even common memes that mock people for just showing up and participating, as if that is not award-worthy. And yet “just trying hard” or “keeping things in perspective,” is literally the best you can do in many arenas of human endeavor.

Parenting is often said to be that. Just showing up day after day, even if the rest is not perfect, counts for a lot.

Preparing for the real world

Perhaps the final year or two of school should not be about modular topics, grades, and correct answers. Maybe it should be about confronting a messy world where all the subjects are mixed together in a blender, and where there are not always answers. They're going to be forced to cope anyway, better it should happen with a teaching staff still handy to help in the transition.

Politics, especially, is full of contradictions. If people are not careful, they'll fall victim to politicians using logic against them. “We can't do that,” the politician may say, “because that will lead to a contradiction.”

Lead to a contradiction? The contradiction was already there, waiting to be exploited! But people new to the game may be easily tricked if they don't realize it, or its implications. We need to teach not just how to use logic, but when not to use it, lest they be tricked.

Hypocrisy can't be used to disqualify people, or everyone will be possible to disqualify. Instead, we need to learn to manage hypocrisy, to keep it to a minimum in various thoughtful ways.

And I've lost track of how many times as a manager I've said to my reports that sometimes sense of humor is what gets you through the hard days, especially when you can see an excess of constraints makes the requested form of success literally impossible. Would it be so bad to have a class in things like that?

The problem to be solved by all this would be to properly set expectations for these kids—emerging adults really—so when they're out in the world, they know what success looks like. Because right now, some of our best and most hard-fought outcomes look like failures to them, like giving in or selling out.

Rethinking Virtue

And while we're rethinking the curriculum, I have one very specific nit to pick, because it follows from everything we've just discussed and it will give us better terminology to talk about what success really looks like in an overconstrained world.

There is a body of thought begun originally by Aristotle with his “Nicomachean Ethics,” the more modern rendition of which is “Virtue Ethics.” I'm a big fan of this idea. Most of it, anyway. I just think we have to make some adjustments to it in order for it to make sense in this inconsistent world we've built. It's got some cool ideas, but it sets us up to be confused in precisely the way learning traditional logic does.

So, of course, I have my own variation that tries to preserve the parts I like and be more realistic about the rest.

The problem with Virtue Ethics

Virtue Ethics speaks of virtue as “the mean between unreasonable extremes.”

For example, it reasons that “spendthriftiness” is unreasonable for being too careless with money and that “miserliness” is similarly unreasonable at the opposite extreme, so it concludes there is some mathematical ideal, a “mean,” that exists in between these unreasonable extremes, just waiting for us to zoom in and locate it precisely.

I don't agree. It's just not that simple. There is no such place, I would argue. Because we have an inconsistent world, any simple rule that comes of mathematics or logic will be seen to have exceptions. The world is just too messy.

Dreaming impossible dreams

But does the fact that the goal is unachievable mean it's improper to try?

No, I don't think so. It's OK to dream the impossible dream. It gives life purpose and dignity and honor, actually.

I just think it should not be described as some pristine mathematical thing, waiting to be proven, lest we pass straight by it when it presents itself not in regal threads but in peasant clothes. We should instead drive a stake into the ever-shifting sands at a plausible place I call the Messy Middle, chosen to best accommodate any facts we know or reasonably expect. Then, when materially new information arrives—and it will—pull up that stake and find it a better place. Wherever that stake is at any given time, that's the Messy Middle. Always defend that.

Dynamic curve-fitting is a better mathematical metaphor than golden mean, if one insists on sounding mathy but only because, to some degree, curve-fitting has an implicit “Philosophy of Messiness” deep in its design. It is one of the ways mathematicians confront chaos and pretty it up, quite as we are doing here.

And the reason I say “dynamic” is that I'm pretty confident that whatever place we stake out, initially or later on, will keep moving as more data comes in. There will be no easy answer that works for everything. And it won't be approaching some well-defined spot like a mathematical limit might. It will probably just wobble about chaotically.

In other words, compromises will be made to absorb new cases, and we just have to be prepared to defend them. It doesn't matter to be 100% perfect. What matters is to be committed to caring, and to always be doing the best we can.

Justice, and what just is

This is how what passes for Justice works in our inconsistent world. We can't totally define it because the world is just too complex. All we can do is commit to a Theory of Justice and then when faced with new data, revise the theory and try again. There will never be true Justice, alas. But what matters is that we don't stop trying.

Justice is not a place on a number line, between unreasonable extremes. Justice is instead a hygiene, an ongoing process of managing things, that compensates for the elusive nature of a concept we can't quite define precisely, yet that we still value immensely.

Justice, and other virtues, must be ever defended against incompleteness, and also against claims of hypocrisy. No easy task. But it starts by understanding that the hypocrisy arises not from the application of Justice but from the problem description. Once we understand that, we're better positioned to manage it properly.

Recap

Borne of overconstraint, there could be no other ending to this story.

The Messy Middle is not, in the Aristotelian way we're taught, some pristine “mean” waiting to be uncovered, but more just a stake in the ground at a place we must accept and defend in spite of its messy origins. We must learn to live with it there, even as we must also commit to pulling it up and adjusting its position when, inevitably, the need arises.

What's really vexing about maintaining the Messy Middle is that it becomes hard to distinguish weasely people from heroic people. Both require shifting. But the ability to distinguish weasels from heroes is not something the Universe offers a clear path to. If one is going to be a hero in such a world, they'd better be prepared to navigate the mess, and to defend right from wrong on some basis more solid than citation of ever-present contradiction.

Not a fairytale ending, but a believable and workable one, I think. And it seems clear to me that the Universe doesn't offer us a better option. So stand by that mess proudly. Commit to defending against what criticisms inevitably come. Be that hero—to young and old alike.

 

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Author's Notes:

If you got value from this post, please “Share” it.

This essay began as a post on Mastodon, but has been very heavily edited since then.

I used a public domain image of a nautilus shell from publicdomainpictures.net to produce the two graphics: one that shows the shell in its original form, and another edited by me using Gimp to replace the crisp center of the nautilus spiral with a fogged out center, representing the Messy Middle.

I used Claude Opus 4.8 as a syntactic, grammar, and editorial cross-check on my writing as drafts evolved, but not to do any of the actual writing.