All posts by anomalogue

Life on the complex plane

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The image of the Mandelbrot set is a map — a 3rd person perspective survey — of Julia sets. But each image of the Julia Set is a 1st person perspective on the same space as that described by the image of the Mandelbrot set.

And each neighboring point in the Mandelbrot set describes the whole differently, sometimes subtly but sometimes drastically. This difference is unpredictable but somehow in retrospect unfailingly intuitively perfect.

Each Julia set is a subjective impression of the whole, processed according to an accident of birthplace, which resembles the whole to some degree, contains the whole, overlaps with it, but fails to trace it out with reliable accuracy.

What is the space in which the Julia and Mandelbrot sets are situated? It is called “the complex plane” — a two-dimensional space, with a continuum of real numbers extending horizontally, and a continuum imaginary numbers extending vertically.

The heart of the process that generates both sets is Zn+1=Zn2+C — with C being a real plus imaginary coordinates of the point in question. So, if the starting point is 0.1011 on the horizontal axis (the real numbers) and 0.9563 on the vertical axis (the imaginary numbers), C would be 0.1011+0.9563i.

In the generation of the Julia set, the Z jumps all over the complex plane painting a whole like a skillful painter developing a composition. In the generation of the Mandelbrot set, the image proceeds systematically, point by point —  a sociologist doing a study on how long painters take to complete their respective work. The plotter of the Mandelbrot set walks from painter to neighboring painter (from C to C, for instance from 0.1011+0.9563i to 0.1011+0.95630000001i ), stopwatch in hand, timing how long it takes for the painter to walk away from his canvas dripping paint into the infinite corners of the universe-heaven complex, or, alternatively descends into apparently interminable frittering refinement.

Depending on where the process starts, not roughly but infinitely precisely, the picture of the whole is potentially radically divergent, and it impossible to know where it will go and how it will conclude except by patiently tracing it out, much as it is impossible to know how we will be changed from an experience of learning except by living it out.

I’ve been thinking this thought for more than a decade, and occasionally saying bits of it here and there, but today I just needed to get it out.

Gut feelings and interpretations

Two counter-intuitive interpretations of gut feelings guide my ethical actions:

  1. The heat of hubris.
    I always try to catch and interrogate this feeling wherever it happens, especially when it is accompanied by iron-clad justification and and sublimates into majestic righteousness. If it feels like hubris, I assume it is hubris, and if that hubris can be justified, the justification is probably the logic of hubris.
  2. The outrage of anxiety.
    This very distinct feeling, taken at face value, indicates one is being assailed by some form of moral and/or intellectual wrongness. I’ve come to interpret it as approaching impingement of beyondness — a hint of dread of the infinite. The subject of my anxiety cannot be subsumed within my current understanding. I can keep my understanding intact and repel the assailant, or I can welcome the assailant with the faith that if I sacrifice my private understanding in the right spirit I have the opportunity to re-understand: to undergo metanoia.

Some other less counter-intuitive gut feelings:

  1. The darkening of betrayal.
    When a person close to me undergoes a deep perspective shift that inclines them away from me, it is often signaled by a dark and heavy feeling. It is peculiarly non-directional like a bass frequency, and it is not clear from the feeling who has shifted — only that someone has shifted.
  2. The hangover of sin.
    When I do something wrong, even if I can justify it entirely, I feel a distinctive sickness afterwards. I’ve come to trust this feeling over my own arguments. When I feel this sensation, I assume a working attitude that I am in the wrong, and switch from self-justification to self-interrogation.
  3. The fluency of grace.
    I can feel it when I am in the right place to speak and act. The sensation is indescribable but unmistakeable: an attunement to the situation, clarity on what matters and assurance that success will follow.
  4. The release of reconciliation.
    There is a distinctive untightening sense that comes with the realization that a person you are in conflict with is more important than anything else involved in the conflict. It is palpable when it happens to oneself, and, strangely just as much as when it happens to the other.
  5. The wrinkliness of incomplete thought.
    When I have an understanding that is not yet worked out fully, and it seems that some unconsidered factor is preventing it from resolving, this comes with a feeling that the problem is not “lying flat”, which might sound like a metaphor, but is actually a description of a feeling about the thought.

Random liberal opinions

I believe in the right to require persuasion as a condition of participation — but this right is accompanied by a two-fold obligation: 1) to persuade and 2) to be open to being persuaded.

I believe every human being has an equal right to be regarded as an individual.

By extension, I believe every individual has the right to voluntarily associate or disassociate with any political body, and that no organic consideration (sex, race, class, etc.) may override it. This is principled non-prejudice.

I believe truth is a matter of trade-offs. Especially when it seems logically impossible, there is an otherwise. Practical awareness of this fact is a major component of what has been known as wisdom. Wisdom is incomplete without otherwisdom.

I believe in the perpetual possibility of radical surprise, and that we feel its approach as anxiety, its arrival as dread and its overcoming as epiphany.

Religion that lacks practical attitudes toward otherwisdom, expectation of radical surprise and navigation of dread is pseudo-religion. Fundamentalism is not religious extremism, religion gone too far; fundamentalism is religion betrayed.

Palette

For my book, I am trying to create a limited palette of words with technical meanings. I will allow myself a few simple unbeautiful technical-sounding words. For instance, it seems alterity and pluralism will be unavoidable. These will be defined and used with discipline and precision wherever they occur. I also plan to pick apart some common synonyms:

  • Real, actual, existent.
  • True, correct, right.
  • Reasonable, rational, logical.
  • Mistake, misconception, error.
  • Concept, idea, thought.
  • Insight, fact, truth.
  • Practice, action, behavior.

The rest will be concrete and durable words likely to remain immediate (“Experience-near” in Geertz’s words), but also likely to introduce some imprecision, interpretive ambiguity and freedom into the reading. I’ll try to protect against any abuses I can anticipate, but I am a pluralist at heart and I celebrate conflict.

Arrogant thoughts on magic

Arthur C. Clarke formulated Three Laws of prediction:

  1. When a distinguished but elderly scientist states that something is possible, he is almost certainly right. When he states that something is impossible, he is very probably wrong.
  2. The only way of discovering the limits of the possible is to venture a little way past them into the impossible.
  3. Any sufficiently advanced technology is indistinguishable from magic.

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I hold the obnoxious belief that religions are technologies — philosophical technologies — and that a magical interpretation of what religions say and do is symptomatic of insufficient understanding. Religious thinking requires an ontological sophistication beyond that of most religious minds, so they do the best they can, but in the process they make category mistakes (which, if I am not mistaken is just ontological errors recast in pragmatist terms) which grow together into a distorted conceptual system. But perhaps even worse is a simplistic leveling-down of religion into ethical guidelines and sentiments. Most battles over religion are between these two flawed conceptions of religion: the superstitious vs the secular.

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Magical thought is the splattering of comprehension against the limits of thinkability. Thinkability, however is relative. We can learn to think new kinds of thoughts — consequential thoughts — thoughts that induce comprehensive rethought, also known as metanoia.

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Magic is permanent complacence in the face of transcendent ideas — and it might even be the sin against the spirit, if we recognize that spirit is mobile thought. It is for this reason — not because I think magic “doesn’t exist” — that I oppose magical thought: it blunts the mind against transcending itself. Magic is bad practice.

 

The long and lonely tail

Sometimes I think the Long Tail is more of a curse than a blessing. It puts so many forks in every possible road that nobody is likely to follow the same route for long. Instead the freeways of common interest that existed prior to internet “communities”, there is a dense mesh of criss-crossing footpaths (so dense it might as well be a solid sheet of pavement) scattered with isolated obsessive nerds.

Do I want to go back to the constricted choices of the pre-internet days? Probably not. There are costs, though, and I feel them most acutely when I finish reading something difficult and fascinating and start flipping through my mental rolodex in search of someone to hash through it with me.

Laura’s cat

From Milan Kundera ‘s Immortality:

One day when he came to see her, he was once again plunged in dark thoughts. She went to the next room to change, and he remained in the living room alone with the Siamese cat. He wasn’t especially fond of the cat, but he knew it meant a great deal to Laura. He sat down in an armchair, pondered his dark thoughts, and mechanically stretched out his hand to the animal in the belief that it was his duty to stroke it. But the cat spat and bit his hand. The bite immediately became linked to the chain of misfortunes that had been following him; he leaped out of the armchair and took a swipe at the cat. The cat streaked into a corner and arched its back, hissing horribly.

He turned around and saw Laura. She was standing in the doorway, and it was obvious that she had been watching the whole scene. She said, “No, no, you mustn’t punish her. She was completely in the right.”

He looked at her surprised. The cat’s bite hurt, and he expected his lover, if not to take his part against the animal, at the very least to show an elementary sense of justice. He had a strong desire to walk over to the cat and give it such an enormous kick that it would splatter against the living room ceiling. It was only with the greatest effort that he managed to control himself.

Laura added, emphasizing each word, “She demands that whoever strokes her really concentrates on it. I, too, resent it when someone is with me but his mind is somewhere else.” When she had watched Bernard stroke the cat and seen the cat’s hostile reaction to his detached absentmindedness, she had felt a strong sense of solidarity with the animal. For the past several weeks Bernard had been treating her the same way: he would stroke her and think about something else; he would pretend he was with her but she knew very well he wasn’t listening to what she was saying.

The cat’s biting Bernard made her feel as if her other, symbolic, mystical self, which is how she thought of the animal, was trying to encourage her, to show her what to do, to serve as an example.

Radical Republic

In any deliberation, there are participants — people involved in the arguments, ideation, demonstrations, etc. — and entities who are represented by the participants — not only people but also things whose reactions to the deliberation are anticipated by the participants based on the participants understandings — who I will call “anticipants”.

To invite more of these anticipants to the table as participants (by including more human voices in the deliberation, and more non-human voices, speaking in the transontic lingua franca of experimental data) is to radicalize our republic by making it as universally democratic as practically possible.

Of course, all participants represent anticipants, but the more anticipants are empowered to elect their own representative participants, and the more anticipants are able to reject inadequate representation (especially important for non-humans: help them water the tree of liberty with the blood of bad science. ), the more perfect the republic.

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People who will not respect science are scary, not because they are wrong about truth or resistant to yielding to reality — but because they are literally sociopaths: violent toward social truth-finding, and disrespectful to the existence of others.

The Republic of Reality

represent |repri-zent|
verb [with obj.]

  1.  be entitled or appointed to act or speak for (someone), especially in an official capacity.
  2. constitute; amount to.
  3. depict (a particular subject) in a picture or other work of art
  4. formal state or point out (something) clearly

“Now that we are no longer fooled by these maneuvers, we see spokesmen, whoever they may be, speaking on behalf of other actors, whatever they may be. We see them throwing their ranks of allies, some reluctant, some bellicose, into battle one after the other.” – Bruno Latour


If knowledge is representative, this sense of representation (4) should not be too closely equated with (3) depicting or (2) constituting. It is better to emphasize its affinity with (1) acting or speaking on behalf of a reality.

Knowledge represents reality by being its spokesman in deliberation, conveying the considerations relevant to that reality, and negotiating for where that reality will figure into whatever is being discussed. If a representative speaks well for a reality, the reality will cooperate and reinforce his claim of representing his constituency. If he misrepresents a reality, the reality will undermine and discredit his representation by refusing to cooperate as the representative promised it would.

Again: our knowledge does not depict reality or make little idea-models that correspond to a reality — with our knowledge we politically represent a reality and conveys what it does and will do with respect to a problem. We are standing in for a reality and representing it in its absence.

Of course, it pays to confer with any reality we are seeking to represent, and be good students of that reality so we can represent it ever more faithfully. When we are representing people we may have conversations with them. Or we may immerse in their lives, interact and participate so we can get first-hand first-person knowledge of what is going on. If we are representing non-human things we might have to watch, form hypotheses, interact, experiment, revise — again, so we can be taught by the reality how to represent it.

And, as Latour never tires of pointing out, every social situation is a heterogeneous collection of human and non-human actors.

Since design is nearly always intervening in some social situation in order to change it, what design researchers really do in the field is confer with the full social reality in order to understand it and fully represent it. And once hypothetical solutions are found, design researchers return to the social situation to confer with it about how it might react to them. Good designers are like good politicians — always shaking hands, knocking on doors, staying in touch, winning support.

 

Deliberation and experiment

The fewer participants you include in a deliberative process, the simpler the process can be. A solitary mind, thinking alone about personal experiences can come to a resolution pretty quickly most of the time.

Each person you include complicates the deliberative process exponentially. Now there is a wider range of experiences, thinking styles, values, emphases and goals that must be considered and satisfied.

When you start including non-human actors in the deliberative process, which means adding experimentation to the mix — now you have something incredibly complex. If the group is trying to understand non-human actors, we now have something like a scientific community. If the question is broadened to include both humans and non-humans combined, we have something a lot more complicated: a society.

And if you try to include all humans and all non-humans, you are now in the realm of the impossible. But it is probably a worthy impossibility.

Assertoric vortices

A pragmatic conception of truth views an assertion as the eye of a vortex of testable hypothetical consequences.

Tracing out these consequences and conceiving experiments capable of supporting or weakening belief in these assertions — that is what rational thought should dedicate itself to. And making persuasive arguments for investing in the most consequential experiments. And for conceiving new assertions with new vortices of hypothetical consequence.

Here is what my life of people-centered design has taught me: Never argue when you can experiment.

Again, Le Carre famously said: “A desk is a dangerous place from which to view the world.” It is important to remember that a conference table is just a big desk for a committee to sit behind. A philosopher’s armchair is another kind of desk. An academic journal is pretty much just a virtual conference table.

The natural sciences learned this lesson centuries ago. What divided modern science from ancient science was not drawing logical consequences from empirical observation! This is a common misunderstanding with catastrophic consequences. What brought science into the modern age (and us with it) was experiment: using observation to form hypotheses, using hypotheses to design experiments, conducting experiments to support or weaken hypotheses for a community of scientists, and to produce networks of confirmed theoretical assertions, each with a vortex of testable hypothetical consequences.

All questions can be treated scientifically, including social and existential ones, local and particular ones. We just have to pragmatically clarify exactly what our questions are about which helps us grasp our scientific object and the suitable experimental methods, which might not be predominantly physical, outwardly observable or quantifiable. Science, too, should observe “truth to materials.”

Neo-existentialism?

Is it time for an existentialist revival, yet? I hope it comes back in a pragmatist mode, one that pushes pragmatism to its Latourian limits. That is, a pragmatism that extends democratic procedure to things as well as people. Things have rights, too, and they assert those rights the way people do: resistance. Scientific experiment invites things to the table and allows them to negotiate with us. I enjoy wondering what an existentialism freed of idealist reductionism (both metaphysical & methodological) might look, sound, behave and feel like.

Beyond fundamentalism and mysticism

Fundamentalism is not religious extremism. It is not religion gone too far.

Fundamentalism is religion failing to happen. It is relationship to transcendent reality reduced to a set of defined things: facts, techniques, emblems, objects and social groups.

Of course, different denominations of Fundamentalism adhere to different things, but they all believe that religious “faith” consists of adherence to things, and they can’t see of what else a religion could possibly consist.

Religion begins when the limit of this vision is overcome, and then the limit of the consequent mystical vision is also overcome, and one plainly sees why love of God and love of neighbor are inseparable. And maybe it starts beyond that, too, and if that is true, neighbor, your vision penetrates further than mine, and we need to talk.

Predicament, perplexity

I am adopting Putnam’s term predicament for a problematic situation.

We could say a predicament is a situation that stimulates perplexity. Perplexity is failure of understanding due to nonavailability of adequate concepts. Because concepts produce both questions and answers, perplexity is inarticulate intellectual distress: one cannot say what the problem is, and this inability to state the problem compounds the distress.

The name of the feeling of distress (and even the intuitive anticipation of this distress) is anxiety.

The depth of a perplexity is a function of how many other concepts must be disrupted by the revision of concepts required to resolve the present perplexity. We can experience a shallow perplexity, which requires only the acquisition of a single concept where one is lacking. The deepest perplexities require unlearning and relearning our oldest and most basic concepts, from which others are derived.

Religious conversions are the outcome of deep perplexities, often stimulated by predicaments.

Understanding Peirce’s triad

Let me see if I can paraphrase Peirce’s triad. 

The elements of the triad are distinguishable, but inseparable. They cannot be grasped in isolation, but articulated against the whole to which they belong. Peirce said they are to be prescinded, not isolated. 

Firstness is the immediate qualities of experience, including the entities experienced. It is monadic. It is experience experienced. 

Secondness is the brute reality of experience, most conspicuous in surprise. It is dyadic, composed of effort (of doing, or understanding) and resistance (to doing or to being understood). Secondness is encountered existence. 

Thirdness is — not sure about this — the concept — which is understood in terms of its full pragmatic consequence (a bundle of experienced beliefs each of which manifests with experience as firstness) of a meaningful entity. It posits, predicts, expects, establishes norms against which secondness will accord or discord. Thirdness is understanding that seeks to intelligibly integrate existence (universality) with encountered existence (pluralities).

Firstness is experience.

Secondness is encounter.

Thirdness is meaning.

Without firstness, secondness and thirdness have no material by which encounter or understanding can occur. No monads = nil.

Without secondness, firstness lacks resistant entities to stand out against the experiential flux, and without such entities thirdness is deprived of anything to understand. (No “intentional object” can emerge for thought.)

Without thirdness, firstness and secondness are indistinguishable. Thirdness supplies meaning; meaning animates effort, which invites resistance, and constitutes secondness. The distinction between what is experienced and what is encountered cannot be made.

What I am missing, and what makes me question the completeness of my understanding is this: isn’t firstness possible without secondness and thirdness? Second and thirdness seem interdependent in a way firstness does not. It might be a psychological fact that firstness is always accompanied by the other two elements, but it strikes me as philosophically unnecessary unless we impose a tautological definition that says that experience is only such in the context of the full triad.

So the thirdness that is my understanding of Peirce’s triad is encountering some resistance (thwarting some of what I would expect him to say) that leads me to wonder if Peirce’s idea (its stubbornly real secondness) is other than what I have made of it (thirdness), and in the context of this secondness and its disruption of my own expectations (firstness produced by thirdness?) it is leading me to experience the firstness of his words and his philosophy as a whole (also firstness) with some anxiety.