Fractal Ontology

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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Notes on Derrida and Cybernetics

Let us conjecture that the invention of the transistor — an auto-controllable circuit — indicates the attainment of a critical level of development in cybernetics, a “tipping point.” Then for writing the corresponding moment is the invention of the video camera, perhaps more precisely the photograph: now seeing is writing, literally marking. Visio-literature is the only kind that can ever exists for us today — even ancient literature is post-modern for 21st-century readers. We cannot simply forget the history of writing, which is also the history of humanity — a spirit which is more like a ghost successively inhabiting our bodies, then our writing-instruments, then our machines, and next…?

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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. (more…)

Theorem: the history of science obeys the law of diminishing returns. The first attack on the narcissism of science…

Second: if we examine the set made of the problem and of the actions that transform it, there is no doubt that it is, at the beginning, more complex than the thing itself or the process. Clearer perhaps, yet more complicated. The question can then be reexamined in order to try to illuminate this new complexity and maybe, to transform it. Thus we form a set: the chain seems unending. The strategies of intervention, the interruption of the process or of the thing, observation that seeks to clarify, photon bombardment, the inseparable association of the knowers and the known–all make complexity increase, the price of which increases astronomically. A new obscurity accumulates in unexpected locations, spots that had tended towards clarity; we want to dislodge it but can only do so at ever-increasing prices and at the price of a new obscurity, blacker yet, with a deeper, darker shadow. Chase the parasite–he comes galloping back, accompanied, just like the demons of an exorcism, with a thousand like him, but more ferocious, hungrier, all bellowing, roaring, clamoring.

Have I described the elementary link of a system of knowledge or its pathology? I do not know. Anyway, it makes work, gives sustenance. One parasite drives out another. The second attack on the narcissism of scientists. The shadow brought by knowledge increases by one order of magnitude at every reflection.

Can we henceforth do without an epistemology of the parasite?

Michel Serres, The Parasite 17

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The following is the first half of chapter 1 from Jean-Hugues Barthélémy’s book Penser l’individuation: Simondon et la philosophie de la nature. Paris: L’Harmattan, 2005. p. 37-48. Original translation by Taylor Adkins on 10/22/07.

Chapter 1

The concept of object and the concept of subject, in the same virtue of their origin, are limits that philosophical thought must overcome. –Gilbert Simondon

1. Ontology and ontogenesis: from Bergson to Simondon

The philosophically fundamental watchword of all Simondian thought undoubtedly resides in the idea according to: the process of individuation cannot be ob-jectified by knowledge, since the former is produced by the latter if the knowledge of individuation is itself the individuation of knowledge. This is why the principal introduction of his thesis ends with these lines:

We cannot, in the usual sense of the term, know the individuation; we can only individuate, individuate ourselves, and individuate in ourselves; this seizure is thus, in the margin of knowledge properly stated, an analogy between two operations, which is a certain mode of communication. The individuation of the real exterior to the subject is seized by the subject thanks to the analogical individuation of knowledge in the subject; but it is through the individuation of knowledge and not by knowledge alone that the individuation of (non-subject) beings is seized. Beings can be known by the knowledge of the subject, but the individuation of beings can be seized only by the individuation of the knowledge of the subject.[1]

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In the first place, singularities-events correspond to heterogeneous series which are organized into a system which is neither stable nor unstable, but rather ‘metastable,’ endowed with a potential energy wherein the differences between series are distributed. (Potential energy is the energy of the pure event, whereas forms of actualization correspond to the realization of the event). In the second place, singularities posses a process of auto-unification, always mobile and displaced to the extent that a paradoxical element traverses the series and makes them resonate, enveloping the corresponding singular points in a single aleatory point and all the emissions, all dice throws, in a single cast. In the third place, singularities or potentials haunt the surface. Everything happens at the surface in a crystal which develops only on the edges. Undoubtedly, an organism is not developed in the same manner. An organism does not cease to contract in an interior space and to expand in an exterior space–to assimilate and to externalize. But membranes are no less important, for they carry potentials and regenerate polarities. They place internal and external spaces into contact without regard to distance. The internal and external, depth and height, have biological value only through this topological surface of contact. Thus, even biologically, it is necessary to understand that ‘the deepest is the skin.’ The skin has as its disposal a vital and properly superficial potential energy. And just as events do not occupy the surface but rather frequent it, superficial energy is not localized at the surface, but is rather bound to its formation. Gilbert Simondon has expressed this very well: the living lives at the limit of itself, on its limit… The characteristic polarity of life is at the level of the membrane; it is here that life exists in an essential manner, as an aspect of a dynamic topology which itself maintains the metastability by which it exists… The entire content of internal space is topologically in contact with the content of external space at the limits of the living; there is, in fact, no distance in topology; the entire mass of living matter contained in the internal space is actively present to the external world at the limit of the living… To belong to interiority does not mean only to ‘be inside,’ but to be on the ‘in-side’ of the limit… At the level of the polarized membrane, internal past and external future face one another. [Gilles Deleuze, Logic of Sense. Trans. Mark Lester with Charles Stivale. New York: Columbia, 1990. p. 103-104.]

Gilbert Simondon, L’individu et sa genese physico-biologique (Paris: P.U.F., 1964), pp. 260-264. This entire book, it seems to us, has special importance, since it p (more…)

“An autopoietic machine is a machine organized (defined as a unity) as a network of processes of production (transformation and destruction) of components which: (i) through their interactions and transformations continuously regenerate and realize the network of processes (relations) that produced them; and (ii) constitute it (the machine) as a concrete unity in space in which they (the components) exist by specifying the topological domain of its realization as such a network.” (Maturana, Varela, 1980, p. 7
“[…] the space defined by an autopoietic system is self-contained and cannot be described by using dimensions that define another space. When we refer to our interactions with a concrete autopoietic system, however, we project this system on the space of our manipulations and make a description of this projection.” (Maturana, Varela, 1980, p. 89)

Niklas Luhman works with this autopoesis to produce a quite fascinating model of systematicity. I’ll briefly highlight what’s important from our point of view.

A ‘machine’ is defined by the boundary between itself and its environment; a machine is divided from an infinitely complex exterior. Communication within a machine-system operates by selecting only a limited amount of all information available outside (reduction of complexity.) The criterion according to which info is selected and processed is meaning. Machines process meaning, producing desire; each machine’s identity is constantly reproduced in communication (depending, again, on what’s meaningful and what’s not.) If a system fails to main identity, it ceases to exist as a system and dissolves back into the environment. Autopoeisis is this process of reproduction from elements previously filtered from an over-copmlex environment. The operation of autopoesis can be binarily encoded (in a Spencer-Brown logic of distinction) as a program which filters and processes information from the environment.

OK, taking this from a D&G perspective, the question becomes about this connection or boundary-limit… and I think this is where fractality and cognition exhibit a common transitive structure…

Program-agents connect: machines to flows, flows to machines, flows to flows, machines to machines, events to flow-machines, machines to event-flows; they (1) produce mappings (flowcharts) of these connections, (2) dis-join, decode and fracture these mappings, (3) construct new machines->more or less ‘dense’ networks of ‘tubes’, flows->currents of intensity, subagents->communicate the pure imagistic flow of unconscious symbol-automation, a particular agent constructs a tool (or a machine with a hole in the shape of a ‘problem’) by halting this flow, “flattening” it into (n-1) dimensions, where it can be differentially represented by a self-organizing nano-ontology; these subagents compress reality into their ‘micro-worldviews’ but then uncompress them into signification, a stream of images and words whose true ‘symbolic’ value is not in the individual’s ontology, but in the group; so natural evolution works to point individual ontologies towards the assemblage of the group, but also pushes the groups’ ontology towards more effective ways of responding to events; so all agents are partial agents, but these agent/machine networks are not all at the same “level”; machines can be made up of machines and subagents; all agents are subagents, this fundamental fractality is ultimately what allows these flows to be taken as flows, allows agents to be and to perform; “full” agents that skim the surface of language are precisely the question. up til now we have only considered the deeps. and perhaps this is ultimately all we need consider: merely the most fundamental heuristics of cognition. but what about conceptual metaphors? does the machinic framework provide for the possibility of metonymy? does the fractality of cognition really completely account for linguistic competency…?

What is a subagent?

The task of a subagent is to translate an image (scene) into a problem space, an objectivized or idealized space. Geometric regularity is in fact what is here being auto-regulated: the problem of establishing arbitrary limits is taken up as a recursive feedback loop between the systematic and meta-systematic modes of computation. Intensity, attention, or heat is represented by the amount of ‘noise’ (perturbation) allowed by the meta-system in the description of the problem space. This problem space is then populated by sub-subagents who imagine it, and then create sub-sub-subagents who reify it into a problem space; this gradual decomposition amounts to conceptual simplification, that is, until we find an undifferentiable function which decodes the image, i.e., supplies the solution. The image (collapse of solution space) is transcoded into a new problem-space, or returned as feedback to higher levels of the system, which may be in contact with other subagents inhabiting the given problem space.