Refracting Theory: Politics, Cybernetics, Philosophy

Archive for the ‘form’ Category

Syntax

In axiom, form, image, multiplicity, noise, ontology, parasite, real, spirit, theory, writing on Sunday, September 14, 2008 at 7:06 pm

 

 

The actual trace or cutting edge of theory is a veritable penetration into reality, not a moment but a certain force or intensity of thought which maintains its position in relationship to the real (understood as the indeterminate gap between syntax and spirit, or between an axiom and the imaginative power which both conditions and evades its’ grammar.) Reality and image, disjoint but co-present, conjoined only asymmetrically at specific suture points of flux: a coiled loop of time.

This self-interrupting dimorph-system, the ‘formal’ figure of the parasite, is a property of not only every formal system but of formality itself, of the very essence of form; it undermines and coerces the event of transformation itself, as only a symptom of fate, of time. A feeling or noise which never goes away, and then suddenly disappears one day, for no reason at all — an inconsistent multiplicity, an ocean of light, a body. A writing which without being written is beyond any form, a language which without being spoken is beyond any thought. This disjunction is contact which provokes a co-evolution, an involution of every event, every moment into a single moment which effaces them.

Thought captures the self-effacing movement of the mark through a penetration or disjunction, a contact without resolution. The becoming-formal of the indeterminate displaces syntax itself: a rupture which no set of axioms, or finite set of symbols, could encompass or comprehend. This ideal object evades finite inference. No axiom grounds infinite inference, no formal system dividing propositions into nonsense and sound judgments distinguishes its subtle grammar, only constituted within this improbable trajectory from noise to sound, from sound to voice, from voice to light. A parasitic evolution which proceeds from multiplicity and marches towards the empty, the open, the blank, the possible. 

Everywhere

In Hegel, Lao-Tzu, Plato, darkness, determination, difference, form, infinity, iteration, light, multiplicity, purity, safety, situation on Wednesday, August 27, 2008 at 1:33 am

 

 

What is the nature of the difference between reflection and immediacy, between the orders of thought and of our inescapable exposure to light, to noise, to the proximity of another person? Between blindness and synesthesia, a word — a universe. Between the instant and the timeless, a positive indetermination which ruptures with the order of both image and essence, disrupting the fragility of duration as well as agitating the eternal time of truth — in short forcibly opening thought onto the pure multiple. 

Determination almost annihilates multiplicity, for unlike the one with its tiny arrow, (beholden to the singular, microscopic graph of substitution) with the multiple there is only noise — no categorical tables, no certain translations. Upon multiplicities, determination (especially as network, as protocol) is the work of almost total negation, a triple erasure whose traces are then painstakingly classified: subtraction dominating the supplement, an order without order. “Science is not necessarily a matter of the one or of order, the multiple and noise are not necessarily the province of the irrational. This can be the case, but it is not always so.” (Serres, Genesis 131) So what is it to “take” pure multiplicity as an explicit object for philosophy, for science, for politics, for art? What is it to think these surging flocks of singularities, or even to produce these dense aggregates of interconnections — dreams, the sea, time? What does the ego become, once one begins to think, to think the multiple as such? 

A transistor, a becoming, open at any rate to the noise of the sea: a model of knowledge, certainly, but also of the world. At once, all at once. Thought circulates, agitates through a radical indetermination in which it finds its singular positivity (if I may be permitted to say so, its humanity or humility.) A rigorous determination of multiplicity can be found in Plato and Hegel — hidden by the divisions characterizing the form of the Good, or the Whole — no less than in the Lao-Tzu, where multiplicity is reflected through cosmic experience itself and finds continuity only though the rupture of assigned identities: “From way-making arises continuity / From continuity arises difference / From difference arises plurality / From plurality arises multiplicity.” (Lao-Tzu, Daodejing 47) Thinking turns away, escapes at once, misses the point, goes astray; it is fluttering and chaotic, in the same way the world is turbulent. Always between sleep and consciousness, word and cosmos, being and nothingness, number and letter. No figure of thought, no poem or formula, could represent the multiple — no gesture could safely reproduce it. What is the multiple but pure risk, the becoming-excluded of the third, the very involution of the “safe” observer? The one in the other, without representation; the me within the multiple, the multiple in me, all at once and without extension. No distance is great enough, exposure is inevitable, we must respond.

The essence of the generic is finitude, an infinite displacement; the meaning of finitude is noise, an infinite repetition. There is a darkness and incompleteness at the very heart of knowledge, a heresy in the most rigorous formulae, a dangerous obscurity and black magic in even the purest thought. Finitude implies iterability, proximity, futurity, in short: society, noise, time, the sea. Being coincides with a generic excess, and essentially refers beyond the situation, to a process of connection to the infinite, to an outside, to pure multiplicity. Thinking — what but a conversation, a dance for two? Being and becoming, logos and chaos, image and essence, time and light, movement and rest. Before the dance begins, and between each pose, there must be a step, a measure, a form or transformation, a pause: a resonance and reception, an order and a response, silence and exposure. 

A suppleness is needed in order to hang in-between, a certain light-hearted spark without which the dance evaporates. Yet hardness is needed in order to maintain the vulnerable posture, tense, pronate. Finitude ceaselessly iterates, rapidly alternates, suddenly disintegrates. Absolute knowledge and absolute ignorance are both impossible; the question is one of phases, degrees, angles, senses. Thought is submission and mastery, learning and teaching, power and humility at once. Mastery without mastery, submission without submission: the situation presented produces a new situation, which itself needs reiteration. How to translate the infinite, the multiple, this conversation without words, this text without image? This formlessness of the purest form, this uplifting of the veil, this pure impurity. 

Immersion

In Deleuze, badiou, becoming, form, language, machine, myth, notion, ontology on Monday, July 14, 2008 at 3:57 pm

 

 

At the height of its concentration, the art of the [twentieth] century — but also all the other truth procedures, each according to its own resources — aimed to conjoin the present, the real intensity of life, and the name of this present as given in the formula, a formula that is always at the same time the invention of a form. It is then that the pain of the world changes into joy.

Alain Badiou, The Century 146

 

To move beyond an age, a century, an image of thought — what, today, does this require, and what would it allow? What does it mean to exit the territory, to proceed beyond the limits of a century, that is, while still maintaining oneself firmly within it, and thus despite constituting a series of processions within it? 

Immersed in the viscous flow of time, to turn over a new leaf, to work out a new concept, to produce a new kind of humanity, for a new kind of world. The concept of novelty is fraught with internal fissures and cracks. It is neither wretched nor glorious, but already an experiment in formalization, the process of deactivating a mythology, a path.

To deactivate a machine, there must be an overflow, a glitch or fault, topologically speaking a bursting, as though the paradoxical new formula itself unfolded in order to become a smooth space of thought. The notion escapes in two directions, a new earth rises within the old.

Alain Badiou argues the new is neither an inexplicable sacrifice of tradition nor a mediation of the various dimensions of human becoming, but rather the production, the education, and the very culmination of a new humanity, ready for a new thought, a new world. There is here, perhaps, more than a parallel to the work of Gilles Deleuze. The paths by which one leaves the territory, the lines of flight or vectors of deterritorialization, are exacting experiments — a cautious but unsparing dislocation of cognitive and cultural coordinates.

(Non-)Epistemology and Ontology: Three more definitions from Laruelle’s Dictionnaire

In Aesthetic, Laruelle, axiom, badiou, epistemology, form, legitimacy, matter, non-philosophy, ontology, science, transcendental on Thursday, July 3, 2008 at 5:17 pm

Laruelle, Francois. Dictionnaire de la non-philosophie. Paris, Kime, 1998. Original translation by Taylor Adkins.

Non-epistemology

Unified theory of science and philosophy that takes for its object and material the discourse which lays claim to a particular mixture of science and philosophy: epistemology.

Philosophy recognizes epistemology in two ways which are not always exclusive. It can treat it as a continuation of traditional philosophy of science, crystallized around the Kantian question of the possibility of science, often relating precise and delimited scientific problems to philosophical systems, whether classical or modern (Aristotle, Descartes, Kant, Hegel, Russell, Quine, etc…) along with traditional philosophical positions (realism, empiricism, idealism, etc.). It can also consider it as a relatively autonomous discipline—simultaneously more regional and more technical—whose sources or occasions are extensions beyond the mechanical or Euclidean geometry of the physical, or even “exact” model of the concept of science; or still it can consider the technological interpretations of this concept. With this more specific preference, the epistemological tradition, going strong for over a century, has become extremely multiform and varied in regard to the nature and order of grandeur of its objects and methods. Nevertheless, its object or its final interest always more or less explicitly remains the criteria of scientificity for science or the sciences. This question, in its constantly displaced and renewed repetition, is always understood as aporetic and even at times gives rise to an admission of failure, which is the motivation for “external” perspectives (technological, sociological, economic, political, and ethical) on science. The advent of epistemology under these hypotheses seems like a becoming-network of its concept of science in a complex, non-linear and instable system.

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Subtraction

In algebra, desire, force, form, lacan, libido, love, real, signifier, structure, transference on Tuesday, June 17, 2008 at 8:08 pm

Responding to a question concerning the loss incurred by the sexuation of living beings, Lacan correlates the opening and closing of the gaps of the unconscious to the opening and closing of the orifices of the body. This inter-relation is real because it is in the unconscious the presence of the living being becomes fixed.

The erogenous zones are indissolubly linked to the unconscious, the organ of the libido itself. At the level of the drive, the relation between the drive and a specific action or passion is purely grammatical — a support, an artifice, literally a machine whose functioning coincides with the outward-return movement of the drive. Re-articulating this machine allows Lacan to indicate not only his tension with Freud, but even to raise concerns regarding the — perhaps masochistic — desire for psychoanalysis as such:

“Today I have shown in the most articulated way possible that each of the three stages, a, b, c, with which Freud articulates each drive, must be replaced by the formula of making oneself seen, heard and the rest of the list I have given. This implies fundamentally activity, in which respect I come close to what Freud himself articulates when he distinguishes between the two fields, the field of the drives on the one hand, and the narcissistic field of love on the other, and stresses that at the level of love, there is a reciprocity of loving and being loved, and that, in the other field, it is a question of a pure activity for the subject. Do you follow me? In fact, it is obvious that, even in their supposedly passive phase, the exercise of a drive, a masochistic drive, for example, requires that the masochist give himself, if I may be permitted to put it in this way, a devil of a job.” [Jacques Lacan, "The Deconstruction of the Drive," The Four Fundamental Concepts of Psychoanalysis]

The driven-subject or the field of the drives, or what Lacan claims is pure subjective activity, must be rigorously distinguished from the desiring-subject, the lovers and the field of love produced, characterized by inconsistent reciprocity of loving/being-loved. A dimension of eternal force and a plane of inconsistent passion. The question becomes: what is lost in the passage from the drive to its other side which makes sexuality present in the unconscious itself, and what remains? What, then, is left of the sign — and for whom?

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Expressive Networks

In boundary, diagram, expression, form, knowledge, language, machine, network, organization, parasite, relationship, representation, topology, wikipedia on Tuesday, March 4, 2008 at 11:22 pm

expressive networks

towards a new diagrammatic model for the abstraction and representation of relational knowledge

How can we apply distributed network theory to knowledge representation? In this paper, we advance a new hypothesis regarding the role of the network topology in information science. In particular, we argue for the need (and significant advantage) of thinking in terms of a parasitic or “counter-network” topology.

While networks are certainly good at representing many things, we need to recognize the significant limitations of this image of knowledge. What does this mean? That the network structure itself must be deformalized, made “molecular” and placed in constant pragmatic variation. The network topology is the most questionable “paradigm” today — despite, or in a sense, because — it has rendered the old hierarchical models obsolete. We find evidence of an uncannily deterministic (and even political) character of the network topology in terms of the protocol or prescriptive communicative rules ‘in force’ throughout the network space. But what if we were to consider a system where all the rules are optional?

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A Brief History of Nothing

In Laplace, fibonacci, form, mathematics, nothing, number, origin, sign, value, void, zero on Saturday, February 2, 2008 at 6:52 am

The point about zero is that we do not need to use it in the operations of daily life. No one goes out to buy zero fish. It is in a way the most civilized of all the cardinals, and its use is only forced on us by the needs of cultivated modes of thought.

Alfred North Whitehead

Leibniz called zero “a fine and wondrous refuge of the divine spirit.” But where does the idea come from? The history of the word may afford us a clue to this mystery. We receive the English word ‘zero’ from the French zéro which comes (along with ‘cipher’) from the Italian zefiro. The latter originates in turn from the Arabic sifr (from safira = “it was empty,” a translation of the Sankskrit sunya = “void” or “un-reality.”)
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The Horizon of Language

In Plato, Thought, assemblage, channel, communication, diagram, forgetting, form, intensity, language, media, memory, multiplicity, parasite, signal, wisdom, writing on Wednesday, January 23, 2008 at 4:02 am

If men learn this [writing], it will implant forgetfulness in their souls; they will cease to exercise memory because they rely on that which is written, calling things to remembrance no longer from within themselves, but by means of external marks.

What you have discovered is a recipe not for memory, but for reminder.

And it is no true wisdom that you offer your disciples, but only its semblance, for by telling them of many things without teaching them you will make them seem to know much, while for the most part they know nothing, and as men filled, not with wisdom, but with the conceit of wisdom, they will be a burden to their fellows.

Plato, Phaedrus 275a-b

If we speak language, then it is at least equally true that our languages speak us — even up to that extreme sense wherein language becomes actual, corporeal — and so the horizons of language and of writing cannot be the same as the limits of thought. Yet there is a single abstract machine underlying both thought and language.

Language is neither a channel, a signal, nor a noise. For if language is a channel, then language channels us — it becomes a closed loop, thought = language = being. The result: only intensive realities, only qualities — we’ve isolated the durational aspect of being, a consequence of self-transformation or self-affection.

On the other hand, if language is born from pure noise, it situates itself within us, finds somewhere between and inside us to become a station… Noise clears, but does not disclose, or does so only darkly, ambiguously.

Language transmits us — what does this mean? Nothing more than that language is not a medium, not communication — but a relational attitude to the world, a turning towards an immanent and essential reality.

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Expression and Essence: The Metaphysics of Writing

In Aristotle, Interpretation, alterity, blueprint, break, essence, eyes, form, hallucination, hands, heidegger, language, limit, parasite, universal, univocal, writing on Saturday, January 12, 2008 at 9:10 pm

(A video podcast covering material in this post can be found here.)

A verb is that which, in addition to its proper meaning, carries with it the notion of time.

No part of it has any independent meaning, and it is a sign of something said of something else… Verbs in and by themselves are substantival and have significance, for he who uses such expressions arrests the hearer’s mind, and fixes his attention; but they do not, as they stand, express any judgment, either positive or negative.

For neither are ‘to be’ and ‘not to be’ or the participle ‘being’ significant of any fact, unless something further is added; for in themselves they do not indicate anything, but imply a copulation, of which we cannot form a conception apart from the things coupled.

(Aristotle, On Interpretation)

The unspoken is not merely what is deprived of sound; rather, it is the unsaid, what is not yet shown, what has not yet appeared on the scene… [what is not spoken] will linger in what is concealed as something unshowable. It is mystery. The addressed speaks as a pronouncement, in the sense of something allotted; its speech need not make a sound.

(Martin Heidegger, “The Way to Language”)

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A Short List of Gilbert Simondon’s Vocabulary

In Disparation, Simondon, Transduction, affectivity, allagmatic, becoming, emotivity, ensemble, form, hylemorphism, individualization, individuation, information, metastability, milieu, model, modularity, ontogenesis, potential, preindividual, signal, signification, subject, system, transindividual on Wednesday, November 28, 2007 at 1:28 am

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1. Affectivity -This term designates a relation between an individualized being and the pre-individual milieu; it is thus heterogeneous to individualized reality. This is why Simondon claims that affectivity, more than perception, indicates a spirituality that is greater than the individualized being (the Sublime) because perception is merely the functions of the structures interior to this being (L’Individuation psychique et collective, p. 108–hereafter cited as IPC). Simondon writes that affectivity is the ground of emotion, as perception is the ground of action (107).

2. Allagmatic - The Greek word allagma can mean change or vicissitude, but it can also mean that which can be given or taken in exchange, which more genuinely captures the idea of energy exchange in Simondon’s usage.

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Energy and Culture: Notes on “Postmodern” Science

In Science / Mathematics / Technology, art, communication, complexity, culture, energy, form, history, individuation, information, knowledge, legitimacy, narrative, noise, non-linearity, ontology, self-organization, transcendence on Saturday, November 24, 2007 at 9:19 pm

Science, Information and Time

There are no whole truths: all truths are half-truths. It is trying to treat them as whole truths that plays the devil.

Alfred North Whitehead

It is necessary to go beyond all the pieces of spoken information; to extract from them a pure speech-act, creative story-telling which is as it were the obverse side of the dominant myths, of current words and their supporters.
It is also necessary to go beyond all the visual layers; to set up a pure informed person capable of emerging from the debris, of surviving the end of the world, hence capable of receiving into the body the pure act of speech.

Gilles Deleuze (The Time-Image)

Becoming unfolds along spatial and temporal symmetries. Biogenesis is the slow process of isolating extensive differences (from a million intensive differences) and making its form hard, becoming like a diamond or like a stone in the river — so that the difference become invisible to the stream, to the flow, but resists and therefore modifies the flow imperceptibly. Read the rest of this entry »

Simondon and the Machine: Technology, Individuation, Reality

In Science / Mathematics / Technology, Simondon, biology, crystal, cybernetics, form, individuation, knowledge, machine, physics, psychology, structure, technology, tension on Tuesday, November 20, 2007 at 6:18 am

Fractal Effervescence (2006), David April

 

Simondon and the Theory of Individuation

There is something eternal in a technical scheme… and it is that which is always present, and can be conserved in a thing.

Gilbert Simondon

Gilbert Simondon’s reformulation of information theory on the basis of a new philosophy of technology has, in comparison to earlier attempts, at least the following major advantages to its credit:

- His thought introduces us to an entirely new way of understanding technology. His earliest work investigates the intrinsic nature of the machine. He asks about the conditions of the genesis of machines in the world, the essential nature of their concrescence from an abstract model.

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Machines, Morphogenesis and Complexity

In Deleuze, Serres, abstract machine, atomism, autopoeisis, chaos, code, complexity, differentiation, digital space, evolution, form, individuation, modularity, molecularity, morphogenesis, network, self-organization, speed on Tuesday, October 16, 2007 at 8:04 pm


Cellular automata

The harmony of the world is made manifest in Form and Number, and the heart and soul and all the poetry of Natural Philosophy are embodied in the concept of mathematical beauty. D’arcy Thompson

All organisms are modular: life always consists of sub-organisms which are involved together in a biological network. The interrelations between organ and organism form a series of feedback loops, forming a cascading and complex surface. Each organ parasites off the next, but this segmentation is not spontaneous. Rather, it is development itself, the decoupling of non-communicating spaces for the organization of divergent series. Creative evolution, self-organization and modularity are the same idea.

The theory of the development of metabolic modularity is called morphogenesis. ‘Morphogenesis’ in its literal sense means the creation of shapes or forms. But in the (relatively) narrow sense we intend it here, morphogenesis is a self-symmetry of the biological structure (onto itself) which allows it to develop in such a way as to divide while remaining unseparated, that is: to ‘individuate,’ or split apart into fused symmetrical segments.
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Machinic Autopoesis

In abstract machine, biology, cybernetics, form, information, model, ontology, structure, system, theory on Thursday, October 11, 2007 at 6:40 pm

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Process

In Mechanism and Biological Explanation [Maturana 1970], Humberto Maturana and Francisco Varela argue that machines and biological forms are very closely related — so closely, in fact, that biologists can reasonably claim living systems are machines. This is not meant merely as a pedagogical metaphor, but rather as a rigorous analogy, which emphasizes important symmetries, and even better, expresses concisely specific experimental and theoretical aims. In what sense, then, are living systems machines?

A machine is defined by a group of abstract operations, satisfying certain specific conditions. An abstract machine is this system of inter-relations which is itself independent of the actual components which ‘realize’ the machine. A fishing boat can be made from many kinds of wood, sailed on many bodies of water, used to store many species of fish; a game of tag can be played with an arbitrary number of arbitrary people in any suitable space. What matters is not the specificity of a given component but the specificity of its relationships. We can define living systems as specific groups of components and their inter-relations, according to both abstract structure and specific functionalities. But insofar as we are only considering their structure, living beings are isomorphic to collections of finite groups of abstract machines: biology considers micro- and macro-structure, whereas systems theory studies inter- and intra-relations.
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No Utopia

In complexity, deviation, form, freedom, information, instinct, knowledge, origin, society, symmetry, utopia on Wednesday, October 3, 2007 at 8:55 pm

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It is characteristic of our age that we no longer remember how to feel utopia. To experience the absence of place, a break in the flow of time. But the utopian vision is not merely a smooth or well-organized space outside of history, beyond danger and death. It is also a powerful impulse, a primary affect of sociality. The aporetic flash of insight which is glimpsed in the symphonic vision of an actual utopia is so overpowering it actually exerts an unbinding force upon thought, deforming and deconceptualizing, breaking truth down into its rhythms. Utopia as commonly conceived is above all a logical place, a space where things make sense. But what if they don’t make sense to us anymore? A utopian thought imagines radical transformation, and accordingly is a thought which transforms thought, an image taken for a radical act. But there is no act, only images of free subjects. Only endless contradictions. But we forget they are more than contradictions. They are indications. The utopian thought is above all a directed thought, a thought of direction. We can’t remember how to point to ‘nowhere’. We should not allow ourselves to forget how to feel the irony of the utopian thought. We can only sketch the subtle complexity of this ancient impulse, noting this or that feature. A general utopian political project is a false ideal; it makes utopia an act, something hard, inert, dangerous. Futurism is false; we must be against the generic utopia. We must try always to see the more subtle, and political sense of nowhere.
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