All posts by anomalogue

A Service is not a tree

Reading Christoper Alexander’s “A City is Not a Tree” I am realizing the extent to which a service, also, is not a tree, — and the extent to which we, service designers try to force them into tree-structures.

Alexander’s signature move, dating from his earliest work, is what I would characterize as polycentralizing design: identifying the multiple centers and fields of activity, noting where the fields overlap and interact, and how these overlapping fields are embodied and changed — most notably, vivified, strengthened, weakened or killed — by physical form.

Alexander’s eternal enemy is orders that abstract and simplify the complexity of life, and design structures reflecting this simplified abstraction, that are intended only to support this partial understanding, and end up severing vital connections that allow built environments to live.

Why is it that so many designers have conceived cities as trees when the natural structure is in every case a semilattice? Have they done so deliberately, in the belief that a tree structure will serve the people of the city better? Or have they done it because they cannot help it, because they are trapped by a mental habit, perhaps even trapped by the way the mind works — because they cannot encompass the complexity of a semilattice in any convenient mental form, because the mind has an overwhelming predisposition to see trees wherever it looks and cannot escape the tree conception?

I shall try to convince you that it is for this second reason that trees are being proposed and built as cities — that is, because designers, limited as they must be by the capacity of the mind to form intuitively accessible structures, cannot achieve the complexity of the semilattice in a single mental act.

More to come…

Weird coincidence!

I went down a set theory rabbit hole this morning.

Charles Stein (in his book Light of Hermes) was discussing infinine divisibilty and transfinitive sets. This reminded me of the weird math we Gen-Xers learned as kids. We were taught set theory in like 2nd grade. We were learning rudimentary Boolean logic. I’m convinced that this is why all designers of my generation are always making Venn diagrams. I found a cool book in the political history of new math — the origin of all the set theory curricula. That inspired a long and odd post on my bizarre relationship with math.

So lately I’ve working on a top secret project concerning product management practices, especially Teresa Torres’s “opportunity solution trees”. I am interested in what product management tends to exclude, and what service design might be able to reintroduce. And suddenly the word “tree” jumped out at me, and I recalled this old Christopher Alexander paper “A City is Not a Tree”. And I thought — Wow, maybe opportunities and solutions are also not a tree! And maybe these tree structures are the kind of thing that makes silo-ization inevitable in organizations. And of course, silos fragment services and introduce discontinuites, gaps, inconsistencies and all the other stuff of bad experience.

So I start reading “A City is Not a Tree”… and here is how it starts:

The tree of my title is not a green tree with leaves. It is the name of an abstract structure. I shall contrast it with another, more complex abstract structure called a semilattice. In order to relate these abstract structures to the nature of the city, I must first make a simple distinction.

I want to call those cities which have arisen more or less spontaneously over many, many years natural cities. And I shall call those cities and parts of cities which have been deliberately created by designers and planners artificial cities.

Siena, Liverpool, Kyoto, Manhattan are examples of natural cities. Levittown, Chandigarh and the British New Towns are examples of artificial cities.

It is more and more widely recognized today that there is some essential ingredient missing from artificial cities. When compared with ancient cities that have acquired the patina of life, our modern attempts to create cities artificially are, from a human point of view, entirely unsuccessful.

Both the tree and the semilattice are ways of thinking about how a large collection of many small systems goes to make up a large and complex system. More generally, they are both names for structures of sets.

In order to define such structures, let me first define the concept of a set. A set is a collection of elements which for some reason we think of as belonging together. Since, as designers, we are concerned with the physical living city and its physical backbone, we must naturally restrict ourselves to considering sets which are collections of material elements such as people, blades of grass, cars, molecules, houses, gardens, water pipes, the water molecules in them etc.

When the elements of a set belong together because they co-operate or work together somehow, we call the set of elements a system.

I think what I’m trying to say is this:

Screenshot

Math weirdness

I feel that The New Math: a Political History might hold the keys to the mystery of my own bizarrely qualitative and intense relationship with mathematics.

It is a weird thing, and I do not understand it, but it matters. It is inscribed in my codeset.

I have always been appallingly bad at doing math. I cannot calculate anything without making dumb, careless mistakes. (I am a disaster in the letterpress studio!)

I cannot remember times or calendar dates. I cannot retain even short sequences of figures or of anything. No kidding! — it all evaporates from my mind on contact.

It seems like some kind of quantitative dyslexia.

The only math I excelled at was geometry. I couldn’t memorize proofs, but I could derive the hell out of them them. My teacher indulged my differently-ablement, and allowed me to work on my geometry tests through lunch. I needed this time because I memorized only the barest minimal set of proofs and had to manually derive all the derivations. This was a shorter cut than to attempt memorization of arbitrary strings of shifting symbols. I was also good at computer programming, and was briefly a comp sci major in college before discrete math drove me out of the program. I coded intuitively. My classmates always came to me to help them debug their programs.

My abilities were existent, but narrow and beyond their limits dropped instantly to zero.Yet, math haunted the primitive roots of my weird soul.


An exhibit of idiosyncrasies:

James Gleick’s Chaos was the only book I owned when Susan met me in 1989. I was obsessed with the M-Set, and Mandelbrot’s preternatural pattern-recognition talents. That was an ability I prized and desired for myself.

When I read Shapinsky’s Karma I was taken by Nicholas Slonimsky’s ability to hear a piece of music once and to be able to recall and reproduce it years later — not by remembering the sounds but by grasping its structure.

All my visual designs are — and always have been — composed to OCD-level exact grids and ratios. I do not let the measurements override my eye, but my eye is never allowed to overrule the measurements. Every finished piece reconciles visual and intellective beauty.

I prized an early, dilapidated copy Roycrofter’s chapbook edition of a legendoidal “Little Journeys to Homes of Great Teachers” bio of Pythagoras. The fact that it was hastily, sloppily and semi-factually tossed off from the semi-reliable myth-drunk memory of Elbert Hubbard was not a bug, but a feature. It was only the myth I wanted. Math mysticism harmonized with my own subsonic resonances.

For a few years I sought a way to translate musical ratios (mainly tone frequencies in melodies and harmonies, and rhythmic patterns) essential to a song, graphically as spatial and color-frequency relationships. I wanted to design record cover art that, when contemplated while listening, would fuse with the music to form a panperceptual gestalt. I failed, but the hours I sat in the USC music library studying music theory books, listening to stochastic and serialist music, straining (and failing) to find elusive structural beauty in the sonic nonsense, did something good to me.

In Brian Eno’s A Year with Swollen Appendices, I was intoxicated to learn of his project of watching Conway’s Game of Life in order to train his intuition to trace the morphing organisms.

Most recently, I’ve letterpress printed both pi and phi to the myriadth place. I don’t even know what e is, but now that I know of it, I will be printing that, too. I might do a kickstarter to print these irrational constants as a series.

There’s more, but this gives a sketch of the general family of tendencies.


I should also mention: All my best thoughts originate as intuitions that first crystallize as visual diagrams, preceding language. Words sometimes lag relational gnoses by years.

I’m damn near innumerate, but some quality of quantity has a shimmery, mystical, dreadful hold on my heart.

I don’t know what is going on in my head-heart, but I think New Math in my early education somehow activated it.

ASCII sigil

The Mercury symbol emoticon, an abstracted caduceus — used to mark a localized omnipresence of Hermes — also precisely represents the great triad, earth-man-heaven.

+O(

  1. Plus sign: The four directions. Earth.
  2. Letter O: Cyclical life. Man.
  3. Open parenthesis: Enveloping transcendence. Heaven.

The dome of heaven is even faithfully everted!

It is a static symbol, articulated grammatically, and, at the same time, a symbol sentence, collapsed into a gestalt. It is true and authentic ASCII sigil.

This must be handset and printed. Digital ASCII art pressed into wood pulp by Gutenberg’s crusty invention, conveying truth before and beyond words, chronologic blasphemy.

Asphyxiating

The little air remaining in the field of design — after its professionalization, after its submission to technicity, and after its deemphasis and almost complete abandonment the first-person perspective at the heart of its work — has been sucked out by the myriad promises projected upon AI by terrified, ambitious, manic managerials.

Intuition has been squeezed out of design, and what remains is calculation, explication, prediction, profusion of words.

The workworld is closing in on me and I can no longer breathe.


Younger design professionals seem perfectly fine with this evolution of the field.

And now I am recalling a passage from Richard Rorty said about institutions:

Knowingness is a state of soul which prevents shudders of awe. It makes one immune to romantic enthusiasm.

This state of soul is found in the teachers of literature in American colleges and universities who belong to what Harold Bloom calls the “School of Resentment.” These people have learned from Jameson and others that they can no longer enjoy “the luxury of the old-fashioned ideological critique, the indignant moral denunciation of the other.”

They have also learned that hero-worship is a sign of weakness, and a temptation to elitism. So they substitute Stoic endurance for both righteous anger and social hope. They substitute knowing theorization for awe, and resentment over the failures of the past for visions of a better future.

Although I prefer “knowingness” to Bloom’s word “resentment,” my view of these substitutions is pretty much the same as his. Bloom thinks that many rising young teachers of literature can ridicule anything but can hope for nothing, can explain everything but can idolize nothing. Bloom sees them as converting the study of literature into what he calls “one more dismal social science” — and thereby turning departments of literature into isolated academic backwaters. American sociology departments, which started out as movements for social reform, ended up training students to clothe statistics in jargon. Ifliterature departments tum into departments of cultural studies, Bloom fears, they will start off hoping to do some badly needed political work, but will end up training their students to clothe resentment in jargon…

Because my own disciplinary matrix is philosophy, I cannot entirely trust my sense of what is going on in literature departments. So I am never entirely sure whether Bloom’s gloomy predictions are merely peevish, or whether he is more far-sighted than those who dismiss him as a petulant eccentric. But in the course of hanging around literature departments over the past decade or so, I have acquired some suspicions that parallel his.

The main reason I am prey to such suspicions is that I have watched, in the course of my lifetime, similarly gloomy predictions come true in my own discipline. Philosophers of my generation learned that an academic discipline can become almost unrecognizably different in a half-century — different, above all, in the sort of talents that get you tenure. A discipline can quite quickly start attracting a new sort of person, while becoming inhospitable to the kind of person it used to welcome.

Bloom is to Jameson as A. N. Whitehead was to A. J. Ayer in the 1930s. Whitehead stood for charisma, genius, romance, and Wordsworth. Like Bloom, he agreed with Goethe that the ability to shudder with awe is the best feature of human beings. Ayer, by contrast, stood for logic, debunking, and knowingness. He wanted philosophy to be a matter of scientific teamwork, rather than of imaginative breakthroughs by heroic figures. He saw theology, metaphysics, and literature as devoid of what he called “cognitive significance,” and Whitehead as a good logician who had been ruined by poetry. Ayer regarded shudders of awe as neurotic symptoms. He helped create the philosophical tone which Iris Murdoch criticized in her celebrated essay “Against Dryness.”

In the space of two generations, Ayer and dryness won out over Whitehead and romance. Philosophy in the English-speaking world became “analytic,” antimetaphysical, unromantic, and highly professional. Analytic philosophy still attracts first-rate minds, but most of these minds are busy solving problems which no nonphilosopher recognizes as problems: problems which hook up with nothing outside the discipline. So what goes on in anglophone philosophy departments has become largely invisible to the rest of the academy, and thus to the culture as a whole. This may be the fate that awaits literature departments.

I long for the days of mere claustrophobia, when I could still sneak a breath of inspiration and now and then make a leap of intuition, provided that upon landing I pulled on my Hermetic cowboy boots and carefully backtracked from where I arrived, paving a path of logical footsteps. +O(

Intellectual sacrifice

From Charles Stein’s Light of Hermes:

Mathematics as sacrifice: one sacrifices one’s woolly fantasies for the orderliness of collective positivity. But the sacrifice is only satisfied or completed when the entire mathematical project becomes a noetic mandala and one’s sacrifice is of one’s phantom apparencies only as requiescent unto Being. What one believes or supposes to be real is accepted only in so far as it can be relieved of its ontological positivity which it offers up to unique, undivided Being itself.

My interpretation of this passage: Mathematics is a kind of tradeoff, or exchange. Give up personal, idiosyncratic, intuitive knowing and in return, receive a more disciplined, shared, public knowledge. But this tradeoff is only an intellective gain if we fully understand — (I would argue in a different, everted mode of metaknowing) — that all these various ways of knowing, these subjects (each with their own special objectivity) together belong (as all things do, including ourselves) to Being, who can be approached numerous ways but never reached and possessed in the form of positive knowledge.

In this everted metaknowing we situate ourselves… as comprehended by infinitude. And it is our situation we comprehend, not the comprehension itself. — This is suprehension: everted metacomprehension of comprehension.


Mathematics is one sacrifice to public life.

Another is exalting liberal democratic order above our own policy preferences and passions. Out of loyalty to our way of self-governing, we champion another citizen’s right to slander what we hold sacred, or we uphold a law we abhor because that law was established lawfully.

Jewish law is yet another. It is beyond silly to refuse to eat a cheeseburger in order to be neurotically certain we are not accidentally eating a baby goat that was cooked in its own mother’s milk. But we decided this matter together and that sacralizes the decision and makes it the furthest possible thing from silly. (This being said, I do not observe this particular prohibition.)

But I gladly make Judaism’s highest and most sacred sacrifice — the sacrifice that replaced the bloody, smoky, visceral Temple sacrifices, and founded rabbinic Judaism in the wake of the destruction of the first Temple and subsequent Babylonian bondage. This is the sacrifice called Machloket L’Shem Shamayim — sacred conflict.

In Machloket L’Shem Shamayim, we vigorously argue our side against another, while suprehending that a higher truth always and eternally transcends my side and yours. I’ve heard this expressed as “The argument itself is truer than either side.”

Above our own certainty is agreement, but not mere compromise for the sake of practicality, but dedication to Being who permanently transcends any single truth, and ultimately all truth.


Those mystics who sneer at liberalism, believing they are wise to it, and in fact superior to it, demonstrate by this attitude that they are not even equal to liberalism — much less to their own religious tradition.


Higher sacrifices are sublimated Golden Rule, carried far beyond rule of computation, law or ideal — the metaprinciple of principle.

I, like you, am finite and limited in some unique way.

I, like you, am limited, but situated at the I-point heart of the world, which is one enworldment.

I, like you, cannot help but believe what seems most true to me.

If we can know this together we can dwell together in holy irony of comprehension within suprehension.

The fruit is restored to its orchard.

Instaurated instaurateurs

Another book for the reading queue, Herbert Guenther’s Matrix of Mystery: Scientific and Humanistic Aspects of Dzogs-chen Thought:

Whether or not the so-called “insights” of any tradition are essential, will be determined by the extent to which they are, firstly, comprehensible to whomsoever chances to focus on them and, implementable, that is experientially accessible, so that they may become relevant to one’s own life by allowing for the means by which those who seek a more satisfactory, and less fragmented mode of being, can open up their limited and limiting perspectives regarding what is, in fact, experientially possible. With respect to comprehensibility this means that the language used to explicate such putatively essential insights must be culturally consonant with both the cognitive and aesthetic complexities of the person trying to probe these insights. In addition, the process of making comprehensible such insights necessarily entails a concerted confrontation with the pregiven prejudices that have sedimented — and continue sedimenting — into and as one’s “natural attitude” toward both what “we” are and what the “world” is supposed to be.

One cannot implement or experientially access that which one does not understand (is not made comprehensible). Although implementation necessarily lies outside the scope of this book, the fact that comprehensibility is so closely intertwined with implementation, makes reference to the latter unavoidable. Here, however, only a few general remarks need to be made. It is a mistake to assume that accessing in the light of a new perspective can occur in isolation, for man by his very nature is always situated with-others and hence “experiences” (even himself) in the midst of and in relation to others. Any attempt to artificially fabricate a lifestyle that would cut one off from social situatedness is based on a lack of comprehension of what the tradition under consideration regards as valuable and healthy. This does not mean, however, that one will have to continue being enmeshed in a social situatedness with one’s natural attitudes intact. Indeed, it cannot be emphasized enough, that to comprehend essential insights means, at the very least, to be forever severed from one’s former (natural attitude. It is equally, and perhaps even more damagingly, a mistake to assume that accessing the essential insights of a tradition means fixating one’s activities on another person judged (more properly speaking, prejudged) to be the locus within which such insights inhere, and that accessing these insights will occur merely by being in the presence of such a “special” locus. These two mistaken approaches to the problem of “how to” access the value and meaning of a tradition are, in fact, avoided only to the extent that one has honestly and carefully acknowledged what is and what is not comprehensible in the light of one’s own experience, for it is only in the light of such sincere acknowledgment of one’s own engagement with the task of opening up that one becomes sensitive to, and can thereby accurately identify, those growth-enhancing patterns which are reinforced by other like-minded individuals. It is only when such sensitivity begins to stir that one finds the “seemingly” inner dimension of spiritual growth “outwardly” mirrored in others and recognizes this mirroring as an incentive to further accessing. Indeed, it is the community of such individuals, sensitively attuned to the essential insights of a tradition, who sustain, by having become the existential embodiment of that tradition, that ongoing process which, like a beacon light, guides man in his measure and value of being human.

Service design’s core mission

It is a terrible thing to be prevented from giving what you were born to give, and, instead, to be forced to give what you don’t have.

It is the gift of gifts to give what you were born to give to others who need and value it, and, in exchange, to receive what you lack but badly need.

And one of our greatest needs is to give.

The mission in the heart of service design, buried beneath mechanical rubble and organizational slime, is a holy thing.

From Fundamentals of Qualitative Mathematics

This morning, for no reason in particular, I decided to browse my copy of the classic qualmath textbook, Fundamentals of Qualitative Mathematics, and it proved surprisingly relevant:

The towering edifice of qualitative mathematics is constructed upon a pair of simple axioms. First: Everything is something divided by nothing. Second: Each thing is a zillionth of everything. From this axiomatic pair, the gazillion deformulae of qualitative mathematics are derived.

It feels almost as if this was written in response to what I was already thinking.

Returning to some enworldment design themes

I’ve said it before, but why not say it again? Take this as attention sustained for decades — as evidence of an enduring soul

A better distinction than technology (or artifice / artificiality) versus natural is what we experience as natural versus what we experience as unnatural. That turns it into a matter of design quality. What artifice lends itself to second-naturalness, and what stays unnatural? We’ve used fire and language for so long they seem like part of nature to us. What other artifices can we add to the world to make the addition — and the world — and ourselves feel natural?

This standard, by the way, pushes Liz Sanders’s classic useful / useable / desirable framework to new levels of aspiration.

Useful is not only just having needs met. Useful means reducing or eliminating unnatural-feeling tasks required to meet our needs, or to change tasks into more natural and meaningful ones. “Do it for me, or allow me to do it myself in a less painful, more meaningful way.”

Usability is not just a matter or reducing frustrations, but also the need to figure things out at all. The goal is to make natural extensions of our thinking, our perceiving and our doing. “Afford me direct intuitive connect with the world.”

Desirability is not merely about aesthetics or entertainment, but about affirming what makes us love the world and our own lives together. “Inspire me to feel more value and more gratitude for our life.”