Fractal Ontology

What is the Meaning of Science?
Nietzsche and the History of the Human Spirit

What is problematic about science? What does the “progress” of science mean about human beings? I believe this question turns everything which is unsettling, mysterious, and uncanny about the course of human development (and not only human); who can exhaust what is figured within the folds of this strange question — science thought as a symptom, science grasped as a problem?

What obstructs this question from being thought? How do we interpret this ’secondary’ problem which intervenes at the critical moment to derail thought — this “problem of the problem” of the meaning of science? At any rate it is clear the difficulty we encounter in formulating this problem are manifold, altogether formidable, but taken separately…? For science itself always already understands, justifies, and regulates itself in turn upon the basis of something non-scientific. Science as such is ultimately foundationless, and furthermore, this is one of its necessary conditions. This is a warning for those who would seek to regulate philosophy by means of “scientific” protocol; for these would in turn require their own justification… Which is not to say that such justification exists or should be sought after — but rather to pause right here, so that we can open up our profoundest capabilities of insight in order to ask: what is science as a problem? What is the meaning of science?

We should stop for a moment and reflect upon this question. We are looking for a meaning specific to science, but the meaning of science as it actually operates in history (and not, for instance, an abstract image of “science” considered in isolation of real problems.) We must try to seek the meaning of science in the more general context of human development, and ask what science means for the human species; or even more pointedly, what it means about what the human species has become. This question should be read as signifying science’s concealed meaning-about-us, a partial truth about what we are becoming as a species. The meaning, if we can but attune ourselves to it, indicates something real — albeit darkly, indirectly and only with constant resistance — about the “rate” and “direction” of human development. In this sense the problem of meaning of science reveals a way to diagnose civilization itself.

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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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Topos (biocosm)

In the beginning all things were mixed together; then came understanding and created order.

Anaxagoras [1]

What had to be accomplished in that chaotic pell-mell of primeval conditions, before all motion, so that the world as it now is might come to be, with its times of day and times of year, all conforming to law, with its manifold beauty and order, all without the addition of any new substance or force?

How, in other words, could a chaos become a cosmos?

Friedrich Nietzsche [2]

The true difficulty for psychology is that the field of the unconscious is also the site of the production and interpretation of reality. With the unconscious we encounter thoughts and bodies mixed together heterogeneously, without the clear ontological divisions we tend in other disciplines to take simply for granted.

It is no wonder then why Lacan has suggested the reality of the unconscious is the most difficult subject for philosophers to approach [3] — for there is no ontological method which could aim to find handles on this incorporeal assemblage, on this “body without organs.” In the enfolding of the psychic within the material we discover a phenomenological reality of the unconscious which is necessarily presupposed by any ontological analysis. (more…)

Symmetric Relations

A scientific theory classifies phenomena based on a universal set of structural relationships. Experiments and theories which deserve the name scientific thus share a coherent set of properties. First, they are systematic, meaning that phenomena as presented possess certain structural or virtual unities despite actual or potential diversities. A fully systematic theory is also complete in that nothing is arbitrarily left out of the universe of discourse.

Events, spaces and processes are presented as approximating a mode of relation which is in every case either symmetrical or complementary, and possibly even transitive (symmetrical and complementary.) Consider the relation between two inter-connected processes A and B. A symmetric relationship could be as follows: A exhibits behavior x when B exhibits behavior x, and A exhibits behavior y when B exhibits behavior y. Complementary relations, on the other hand, could be (for example): A exhibits x when B exhibits y, and A exhibits y when B exhibits x. Complementary relations are characterized by a disjoint or heterogeneous symmetry which distinguishes them from the smooth or homogenous symmetries of the first type of relation.
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Flow

The moment of death is uncertain and inevitable; its shadow approaches from an unknown region like a silent stranger. Death does not need to follow us; it just meets us where we will be. Like a memory fragmenting, bodies rush towards singular points of annihilation, just as the very possibility of negation is implied by the presence of the law. Protection is absurd, insulation a pure minimum; there is but the most fragile and insufficient veil between ourselves and our vulnerabilities.

Even laughter is a deflective shield for the futile anxiety over this very insufficiency. The subject exhausts its becoming and dies; thus until death he is not composed of a lack but indeed an overflowing surplus, of new expressive modalities, energy transformation-processes, event encoding/decoding regimes. Death crumbles the ground beneath us; it is the pure undecodable, it is a decoding space, a pure body with organs, a body full of pulsating acephalous organisms.
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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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Royal science is inseparable from a “hylomorphic” model implying both a form that organizes matter, and a matter prepared for the form; it has often been shown that this schema derives less from technology or life than from a society divided into governors and governed, and later, intellectuals and manual laborers. …all matter is assigned to content, while all form passes into expression. (Gilles Deleuze, A Thousand Plateaus)

The difference between state science and nomad science is practice; the difference is as great and as narrow as that between geometry and poetry. The practice intrinsic to each mode of scientific exploration is implicit in their method, in their metaphysical categories, and especially in their respective divisions of labor. Nomad thought works continually against the grain of traditional categories and conventional methods; it upsets orders of scale, imparts unusual rhythms, creates social turbulence and sometimes, if it is fortunate, gives birth to new modes of expression.

The state cannot spontaneously create scientific assemblages any more than it can create poetry; the state struggles only with its habitat, its Other, its medium, never (or only in extreme cases) with itself. And in the end, nomadic science draws the state bloodhounds to its hide-out by its exotic odors. The nomads are not only killed formally and indifferently; they are annihilated precisely for their indifference to the state formalism. Nomadic signals hijack the royal message, forge the signature of the state; such floating signals are seeds, impressions of novel forms, sparks which sometimes inspire revolutions. Conventional science is quite effective at reincorporating these signals, as it is skillful at organizing prepared matter; but minor science contraverts every state by inventing new forms of matter, and just as easily a poet dreams up novel expressions.
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Woman at the Window Salvador Dalí, oil on board (1925)

What do we understand to be the boundaries of our neighbor: I mean that which he as it were engraves and impresses himself into and upon us? We understand nothing of him except the change in us of which he is cause — our knowledge of him is like the hollow space which has been shaped. (Friedrich Nietzsche, Daybreak 11

Stripped of its social connotations, tolerance and democracy mean only a desire to say that the external is gone, what belongs (inside) is all; and there are plenty who say it, whether or not it is true! Our existence as social subjects is socially constructed; thus what once seemed outrageous now seems trivial and preliminary. Perhaps our age, though more complex in some ways, is ultimately not so different from Nietzsche’s: for what always matters more than metaphysics is how we actually measure and compare human beings; and now, being without Gods or absolutes to function as a universal scale, where are we to turn? “Actions are never what they appear to us to be!” (Daybreak 116) Still it is always the same story: we turn away, we cannot bear the intensity of the material, we desperately grasp outside, we look beyond for a vision capable of grasping all of being at once.

Metaphysics is done not from luxury but out of dire necessity: above all, we look away from the world, we repress space (culture-space, nature-space, psychic-space): this need for specificity-within-multiplicity is the name as such, the shape of all social oppression, the very cost of ‘civilization.’ Metaphysics traces lines beyond social forms into the formless, the chaotic and subversive turbulence beneath the turgid surface of politics, the violence beneath the ideal image, the flux between the forms. All language is a struggle between times; a struggle within time to overcome time. Language is temporality posed as a challenge; it is a creative space, positive in its empty smoothness, but eerily mute, insufficient in and of itself to initiate the vibrations of a new becoming.
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The following is Michel Serres’s essay “Eternal Return” in Hermes IV: Distribution. Paris: Les Editions de Minuit, 1977. pp. 115-124. Original translation by Taylor Adkins on 10/10/07

Philosophers glorify Nietzsche for having suddenly rejoined the Greeks through their fulgurating intuition of the Eternal Return. Either from an ignorance of ethics or incomprehension of the general figure that this thesis takes in his philosophy, I reduce this to a vision of the world. Vision with the meaning of sight, and world with the sense of the world. All simply.

If time is considered in geometrical figures by optical interceptions and a mechanism of movements, the Eternal Return is cosmological. In that case, the solar system (and it only) has been calculated by Laplace. Celestial Mechanics and the Exposition of the System of the World established rigorously, for the first time, the mechanical invariability of the large axes for the planetary orbits. The stars turn forever. This eternal return reduces the world to the exclusion of the universe, and reduces mechanism to the exclusion of other sciences. Neither the Greeks nor the classical age ever obtained this demonstration. Conversely, the time that we consider is reversible.

If the time that one endorses is that of a formation, of bodies as spheres, and with which one tries to surpass mechanical reversibility, then, if there is return, it is cosmogonic. However, cosmogony enters science little by little around the middle of the 18^th century, with Thomas Wright and Buffon. If Laplace has erased the latter in the seventh note of the Exposition, the former has inspired Kant. Natural History and the Theory of the Sky marks the appearance of the Eternal Return in scientific cosmogony.

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If there were an exact center to the current political impasse, the short circuit of process, it would be this fact: that free discourse first demands a difference. It could be said that truth is always in conflict with destiny. An illegality, more universal than the universe, breaking the symmetry spontaneously and opening the way onto a new reality. In other words, beyond non-identity, there is yet a non-equality which goes deeper than a face-to-face opposition. The face is a complex torsion of the discursive space; whereas asymmetry may be the origin of space itself. Talking is terraforming, interring destiny, burying original forms deep underground; a willing hypnosis overcomes swarms of a priori contradictions. The earth does not countermand me; this refutes your objection. Consider, for example, when two entities differ so much they cannot be meaningfully compared, there is no isomorphism, no discursive space which can account for a relation between, which could isolate a structural symmetry. And in truth all situations are partial and fragments in this way, fractured, refracted, as their basic essence. Against appearances, the properly political situation is not only when a mutually valid criteria is inconceivable — but when it is even actually dangerous. Was dialectics ever dialogical? In other words, can a theory of contradiction be anything but itself a theoretical contradiction — could it perhaps trace beyond, beneath conflict? For certainly beneath human faces, human relations, many things flow…

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Improvisation (Kandinsky)

“I owe to you the most beautiful dream of my life.”
- Nietzsche, [from a letter to Lou Salome]

I cannot help but admire Nietzsche when he writes in Twilight of the Idols that there is nothing beautiful but man. For Nietzsche, vanity is ‘the first truth of aesthetics.’ He even supplies a corollary: ugliness is precisely the ‘degeneration of the human.’ Here Nietzsche method allows us to see possibility for new forms of humanity, but he skirts dangerously close to anthropomorphisizing the entire universe as isomorphic to our social spectacle. Is beauty a vain preoccupation — or an elevation of the human to the cosmic? What is left of beauty, human or otherwise — outside of what we customarily associate with it?
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How very noble!
One who finds awakening
in the lightning-flash

(Basho)

It struck me lately that Nietzsche’s style is not entirely dissimilar to the strategy employed by the Zen koan. I’m thinking in particular of the haikus of Basho: short, aphoristic bursts of supersaturated feelings, pressurized information, aimed to awaken and reorient consciousness towards new directions. The author of the haiku plays a subtle game of exchanging masks. Each voice, whether of the dawn, the crickets, the lightning, or the sea, is a gradient into other voices. Their chorus become constellations of breakpoints, fragmenting into still other registers of sound and light. The words explode the page to reconstruct the world.

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(Source: NASA deep space photo)

Agency demands a problem-space exactly as motion demands regulated (observed) space. Motion is distinguished from space by an observer: space is energy. Thus the discovery that space-time (energy) is at once both a pure sea of light waves folding and crashing in infinite variations as well as a discrete, orderly series of predefined, probabilistic signals, is one of the two great conceptual leaps of this century. The discovery that energy in its very essence is fractured (theoretically, i.e., philosophically) due to this ‘fundamental’ particle/wave duality is the other, as it accounts for the fact that space (energy) is organized by mutual observation. That is, since time (or energy) is ‘broken’ (theoretically,) space (practically) has a fractalized topology, and this can be thought of as due to the (unmediated) presence of an observer. The observer converges the subject and the object within a deterministic though dimensionally-problematic space (a ‘broken’ singularity–no longer merely particles or waves…)

An observer can observe himself. Thus if the nature of the universe depends (in a cosmic sense) on our way of looking at it, then the observer can be expected to introduce not only a sort of polyvocity to objects and a recursive circularity to ideas about reality, but furthermore, the observer can even be expected to produce the universe, by ‘breaking’ space apart. Thus the observer multiply compounds (through infinite reflections) an inexplicable singularity: he or she produces a meta-mapping of the entire universe into an observed image, and accomplishes the image’s re-projection as the coordinating engine for the entire (real!) universe–all this as though the single observer him or herself contained a bounded though actual infinity. This is how a mirror brings about the fundamental meta-problem of science, that is, the infinite ontological difference between truth and knowledge. The irreducible multiplicity of reflection in observation is a reflection of an irreducible ontological rupture: the habitation of the ‘broken space’ between image and object, the word and the thing, the map and the territory.

There’s a shift: it is rather as though we had been handed a script not with some fictional scenario traced upon it, but in fact a complete list of all the scenes in which we ourselves as individuals would take part, a final list of all the sentences we would ever utter within those scenes, for the rest of our lives. The fractal twist here would be that some outside observer (in this case me!) is handing you the story: thus in observation we find always a broken co-narrative space, a bi-univocal mutual observation which leads to a curious paradoxical reciprocity: I exist in your ‘dream’ because you exist (to ‘dream me’) in mine, and vice versa. Thus we become real only through the reading of each others’ dreams.

But our stories or dreams might still be identical even if identity as such were not cosmically or historically stable, that is, whether we are speaking of the integrity of things, or again, our ideas about things. This is our first evidence that the fundamental unpredictability of the observer’s perspective is an indication of a learning intelligence.

With autopoesis, the scientist must truly turn around to look at himself: moreover, we realize we can only make this turn, as it were, when we have been called. Someone shouts your name: neurons fire, the connection is made, your head turns. The programming in this case is generally so complete we can and often do say we are “turning without thinking.” Yet thinking of a sort is certainly occurring: it is not merely as though we consult a dictionary of syllables to determine if the sound uttered matches our name, but certainly at some level some analogous operation must logically be taking place.

While we would like to say we have free will–and though admittedly this is a biased (but revealing) example– it is obvious the issue of power and will only apply marginally to this extraordinary ‘turning’ event. What power indeed do I have (within or against) the encounter with the other; what certainty could falsify the hailing from afar of the same? These sorts of considerations lead us to assert that identity is only brought about through a vigorous process of self-questioning, of a certain uncertainty. Our highly-structured interior ‘reality’ collapses upon itself in the face of the other, though it remains absolute relative to the encounter. But at some level we know our entire (practico-theoretical) ‘house of cards’ was constructed in vain the moment he opens his mouth in addressing me–and this only by his or her offering of an alternate reality, through his story, which radically splits my universe in twain, into tiny pieces with crooked and uneven edges. The observer who observers another observer splits a splitted universe: into an image I wish the Other to fall neatly back into, which contrasts with and is unsettled by the jagged, chaotic real space in which nothing sticks and everything flows, regardless of the complexity of the (manual, visual or vocal) dialectics we have constructed to balance all the potential opposing forces.

The Other is the problem par excellence, as well as the enigma in a solution, a riddle whose answer is written upon his or her very face. Our blind spot is always ourselves, but this is the scientists’ positivist abyss: we burn a hole in the universe, and thus of our map of the universe, by our very observation of it–we tear our perceptions apart, into pieces, when we decode them; our affections are untrustworthy, subjective, perilous. But isn’t it here that Nietzsche tells us it is most important to trust our senses, that indeed all the great advances in science have resulted from paying careful attention, to the only thing we can pay attention to–the world around us, as it appears to us, including all the potential distortions and disorganizing chaos?

In fact it is in the chaos of fractal space and the turbulence of flowing photons that we shall seek a more or less final resolution of the central difficulty of computer vision, that is, the reconcilation of the visual and the manual. And even perhaps, after a time, we shall finally be able to learn again that special trust which thousands of years of religion and ‘civilization’ have all but made extinct… how radical, Nietzsche’s thesis on trusting one’s senses! And how much more troubling, when we realize our senses are always sensed for another, that it is only in mutual observation we observe anything at all!