Archive for the ‘infinity’ Category
Everywhere

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.
Hinge

Between the terrible clarity of the sun, and the secret power of the night, a fault-line. Dusk: neither the bright sun of madness or the black hole of God, neither a messenger or a channel, but the infinity of their absolute interconnection — which is surely also to say, their complete disintegration.
Between growth and decay, learning. Instruction crosses between, voyages outwards, away from the familiar. An exodus.
Between saying and doing, an operation without a name. Between the general formula and the singular revelation, the unimaginable — an alterity which effaces itself, a dangerous and uncanny law of bifurcation.
Haunted by the infinite, the disjunction allows a momentary glimpse.
A screen or window, upon which an invisible writing inscribes itself: this crystalline, pulsing thread between the sense of sensation and the sense of signification. A klaxon.
A transistor hums, a soul awakens: the message interrupts itself, the medium fragments.
An infinite (verbal?) disjunction: an imagination which realizes, a reality which imagines — an absence which haunts the living, the troubling presence of the dead. Science and vivisection, culture and decay. And between these two streams, in the middle of the two foci?
Time is bifurcated, the light by which light amplifies itself: playing, dancing, rippling… And beyond this mirrored prism, a signal lingers.
Beneath memory, a message, a crystal screen. Anarchy enthroned, pure love and infinite possibility at once.
Beyond power, humility.
What is needed now? Nothing but a split, a hinge — the tiniest crack…
Notes on Totality and Infinity

Does objectivity, whose harshness and universal power is revealed in war, provide the unique and primordial form in which Being, when it is distinguished from image, dream and subjective abstraction, imposes itself on consciousness? Is the apprehension of an object equivalent to the very moment in which the bonds with truth are woven?
Levinas
I will not say that the disaster is absolute; on the contrary, it disorients the absolute. It comes and goes, errant disarray, and yet with the imperceptible but intense suddenness of the outside, as an irresistible or unforeseen resolve which would come to us from beyond the confines of decision.
Blanchot, The Writing of the Disaster
Levinas begins the preface to Totality and Infinity by asking whether war is not the most serious objection to the lucidity — the sanity — of ethics. For war robs our institutions and obligations of their eternity; it is the concrete suspension of the ethical. In war morality vanishes. The violence of war does not only affect us as the most real, the most palpable fact, but as the very truth of the real. Thus it is not just one of the ordeals morality lives. War renders morality derisory, rescinding its imperatives for the interim. Politics, winning at any cost, is enjoined as the very exercise of reason itself — opposing itself to morality as philosophy to naivete.
Fragments of Heraclitus are unnecessary to show that being reveals itself as war to philosophical thought. Reality rends the words that dissimulate it. War is produced as the pure experience of being, cracking the veils which covered its nudity. The ontological event of war is mobilization, a casting-into-motion of beings once anchored in identity. The trial by force is the test of the real. Yet the violence of war does not consist so much in injuring and annihilating people, but in interrupting their continuity — forcing them to play roles in which they can no longer recognize themselves.
People are made to betray not only commitments but their own substance, and made to carry out actions that destroy every possibility for action. “Not only modern war but every war employs arms that turn against those who wield them.” War produces and establishes an order from which nothing and no one can keep their distance. Nothing remains outside. War does not manifest exteriority, the other as other; it destroys the identity of the same. The vision of being glimpsed in war is “totality,” a vision-in-one which dominates Western philosophy.
Counter-mythology

Responsibility is what first enables one to catch sight of and conceive of value.
Levinas, Otherwise Than Being 123
Beyond the question of being and non-being, language is not the event — but rather a process of assembling unformed and unspecified elements, an abstract machinics which imagines new forms for itself by correlating the various distinct orders of reality with a plane of consistency in which a unified vision becomes possible — in short uncovering the infinite possibilities of the event. But this apparition of the event in its infinity would be only terror, the dark depth in which all mixtures are possible — and nothing is outlawed — were it not for the ambiguity of silence, the “not-yet” which the event, the “given” or gift, makes possible, and which makes possible the infinite time of cohumanity.
In speaking, reality opens itself up to an order without signification or concept, lost neither in the depths or heights but in the very shape of the world, the surface itself, a topological mode or order of being issuing neither in sound or light but in an idea given me by the other, the gift of language. In expression being can become free. Language is the discovery not only of novelty but justice itself; the enjoyment of discovery is essentially social. The event is not revelation but a secret apology, a map of the vortex. Turbulence is lucidity.
Black holes are everywhere, and this prohibited prohibition permits everything: the torsion of language disarticulates the tension of the soul. Beyond the face there is a paradoxical and two-sided barrier, an apparition which interrupts the symbolic order of discourse, as though by a lateral or diagonal movement between the signified and the non-signified. By an astounding finesse, speech uncovers the world as a lesson or donation.
Debt and faith are born simultaneously. Language is justice — a gift — only when it sheds its anonymity to become universal, not by inventing a world-beyond-the-world, but by reconciling us to one another. It calls us to hear a there-is rustling behind the void.
Hence the notion of event correlates at least three distinct orders of relationship between possibilities: a relative-absolute conjuncture uniting singular events and possible worlds; an absolute disjuncture prohibiting certain events from certain worlds; a trans-evental function sweeping up worlds and events.
Production, Division, Excess: Spinoza, Nietzsche and the Event

The essential is never perceived in sheer multiplicity or in first impressions.
Henri de Lubac
In Nature there is nothing contingent; all things have been caused by the necessity of the divine nature to exist and produce an effect in a certain way.
Spinoza, Ethics
The wise person is free in two ways which conform to the two poles of ethics: free in the first instance because one’s soul can attain to the interiority of perfect physical causes; and again because one’s mind may enjoy very special relations established between effects in a situation of pure exteriority… The question becomes: what are these expressive relations of events?
Gilles Deleuze, Logic of Sense 169-170
It is no more desirable, if it is even possible — and there is no more absurd “if possible”! — to liberate the soul from fear than to rescue the body from suffering. Could there be a courage without cruelty, and a pure joy devoid of violence? Terror, like joy, paralyzes, breaks reason apart — it distracts with a simulation. Not the void, but the unformed, is the origin of sorcery. We admit the dimension of the terror of the inhuman appears entirely negative, a sickness — a peculiarly “human” horror of the unknown. Lygophobia. Freud called it a manifestation of separation anxiety. The demand for certainty is part of the basic text of human nature. The will to truth is thus paradoxically a kind of poesis, a creative fire driving out the darkness. At the limit of metaphysical interpretation, light signifies pure love, it rips apart the bonds of meaning, it is pure signification itself, the voice or song of the universe — and the noisy soul responding. And it is with a second and far blacker paradox that counter-signification reaches a point of critical mass, where the absolute “material” of destructive terror — brought to an unbearable intensity by a fixated or excessive gaze, by a dangerous exposure (to noise, light…) — is transformed all at once into the positive, immanent criteria for science, that is: for a dangerous and powerful thinking of the real.
Thus at the deconstructed origin of analysis we find a deferral. It is not enough to say deconstruction must be deconstructed. We must be clear: analysis breaks and we desire this specifically. It is part of the text. It’s how literature begins. In psychological terms, we are always about to discover “it” was already broken. Exactly: where it was… But if there is a productive diagram of science itself, its constitutive disjunction may be witnessed in this joyous cruelty of overturning analysis: anti-philosophy, drawing finite boundaries, inventing counter-positions. Experiment! A quantum riot, metaphysical terrorism, a billion home-made atom bombs. It’s how science begins. We know it can be done, but is it enough? There is no answer to this question. You cannot know in advance whether or not an experiment will succeed. But here there is still much for philosophy to do — not say, for even in saying, philosophy still must do.
Counter-action: Reflections on Sensory Anthropology

Towards a Metaphysics of Noise
Let us return to the ‘alternate’ origin in noise, the conditions for any structure. From background noise to blank nothingness to signification: three distinct moments.
Back again to the process of the development of the other structure: from noise into information.
Mediation: the propagation of light which opens up space by filling it, makes absence present, sensible. The other structure: from spirit to letter; from ruptures, an alien coherence; from the whirling vortex, a noisy dawn.
Noise drives away the parasites — it clears space by infesting it. Noise opens space, provides a substratum for objects. As a condition of logic, a pre-logical polyvalence. The parasite is cosmic, a secret name of God — a profane transcription…
Three aspects-moments in the propagation of noise: homogenization, purification, radial distribution. A convergence of an infintite self-identity into a pure singularity: the monad, logical isolate, fragment and totality.
Temporality and Power: The Politics of Absence

In the relation of the human being to language, a process is reflected that extends to the relation of the human being to beings in general: The scientific knowledge has become the standard knowledge! The other: thinking, spirit of language, history, culture is still there, yet dragged along into a certain indeterminateness.
It is decisive that the consciousness was lost as to where this other belongs and of what kind must the reflection be in order to still experience it essentially.
Martin Heidegger, On the Essence of Language
One is substituted for another. The Other is already a replacement: stood in front of, signified for, stereotyped, “represented.” Always already excluded. Alterity is secrecy, criminal, “terrorist.” The other is an unsurface, continuously fragmenting, always already a mute revelation of presence-within-absence, an irruption of pure expressivity conveying without mediation the disunity constitutive of production. A signal which effaces itself, fracturing identity and imploding the non-position at the heart or essence of expression.
The degradation of the other in (through) writing, even through speaking itself and in what is before speaking, in the materiality of the saying and in the voice, already in the other’s cry of pain or even the internal distance wherein I myself become alien, become other before my own suffering and “involuntary” reactions — all these complicate an analysis into alterity, into the other nature of space. The politics of alterity, of absence, the comprehension of the place of the other, takes place outside of our dialogical place-together, outside the infinity of our interconnection. Politics operates not in but as a finite emptiness, a literal or material void which is applied to society like the one-sided edge of a surgical knife.
Beyond Desire: Remarks on Nietzsche and Becoming

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. Read the rest of this entry »
On Borges: Labyrinths

I deny, with the arguments of idealism, the vast temporal series which idealism admits. Hume denied the existence of an absolute space, in which all things have their place; I deny the existence of one single time, in whcih all things are linked as in a chain. The denial of coexistence is no less arduruous than the denial of succession. (Jorge Luis Borges)
The maze is (a) work, mazes are always at work within work. The maze is the very object of work itself. The subject is always labyrinthine: a largely unknown interconnected field of instances, spaces, engagements — whose convoluted and intricate structure as such must be actually explored. Enclosing a journey, a work is a maze: the subject becomes a convoluted space by becoming a wanderer of these forking paths which continuously converge and diverge, cyclically multiplying spaces, ever forwards to infinity.
The fabled maze which confines a minotaur, labyrinth already contains the Lydian labrus, the double-headed axe of Minos. A sacred dual-weapon to rend the folded beast, to slay the man with the monstrous head of a bull. The labyrinth itself is monstrous and harbors monsters; within its folded space, amidst tunnels and promenades, somewhere a terrible half-man, half-beast is wandering alone, on the borderline between infinite spaces, waiting within the imbrications of fractured infinity, waiting for his death, for his redemption. Salvation is a question of transmutation, and like all metamorphic fables, a mysterious secret is contained, an answer to the question: what to do with the hybrids, these half-men, half-x…?
Read the rest of this entry »
Living and Being

Fantasio
(You can find more of his and other excellent original artwork here.)
Life explodes and bursts ontological boundaries in its rampant and chaotic proliferation. But does life transcend being? If so, we must understand such a transcendence in the erasure of the gap between ontological layers, or in the ‘splits’ between, and productive of, generations. Such gaps are ‘magically’ or ‘miraculously’ mended by fecundity.
Being, on the other hand, never truly carries multiple names. As Deleuze emphasizes it is only ever spoken of in one sense. Yet life, if it ex-ists, must speak on uncountably many ontological layers simulatenously. If it is being which stretches and folds, that is, whose curvature is produced by motion– then it must collapse under a folding which converges geodesics (metrically differential spaces.) Being is folded into itself, but is only itself– which is why it cannot bear being stretched or folded without decomposing into fractal spaces: the universe of the observer.
Life, which is the highest expression of the autopoetic force, is an unfolding and self-organizing, and therefore fractally active on an infinitely complex though immanent field. Language exemplifies this sort of transcendence-within-immanence. Words are alive though language appears to enjoy an independent existence. The independent perspective is not to be found in the transparency of sense, nor the opacity of the text, nor even of the pure a-signifiying bodies around which the texts are adjoined. The independence of language from its referent is an illusion, just as the independence of perception from a subject is a rather transparent illusion.
Sensation itself is political, so nothing is neutral. Only our hypocrisy, or desire to maintain an illusory distance, is universal. This leads us to believe that a scientific study of sense would be a sort of pseudology. We call simulation the essence of the sensical because of this illusion, sense founds itself violently, through a sort of a-signifying pseudo-bifurcation. Life itself in the contamporaneity of fractally divergent ontological zones presents simulation as such, that is– a decoding… which encodes.
Nothing escapes this.
Our very being is overcoded. Our lives are seemingly free, yet we are enslaved to the sociopolitical responsibilities of speaking. Even the creative energy which animates our bodies is treated as a sort of universal commodity, for sale on the open market. No aspect of our life or existence is free from political influence, from the process of producing separation by subdivision. No sensation as such is a-political, because sense is a differential articulation of masses.
Sense is simulation because life suffocates in ontological isolation and only exercises power, only draws surplus value from a coincident inter-relation of ontologically distinct realities, which may fractally resemble one another, but then again–may not.
In fact this fractal self-similarity is really only characteristic of the ontological unity of the immanent field of existence, which as such can only be spoken of in a single sense. There are not and could not be multiple ontologically distinct realities.
Yet life multiplies realities as independent unities, and thus all life (and sensation) in inextricably political. Life coordinates topologically complex ontological arrangements. Sense is a science of rigorous hypocrisy because living is social. Perhaps life is even ultimately one, but such that it is a one which could never be actualized as a univocity of being. Life articulates its organiazation on infinitely many layers and levels at once. We even say: life organizes the empty spaces of a mechanistic universe into an instrument for song…
Anaximander and the Infinite
‘The principle and beginning … of beings is the limitless … where beings have their beginning, therein also have their end according to necessity; for they pay penalty and retribution to each other for their injustice in accordance with the arrangement of time.
[The limitless is] immortal [...] and imperishable.’
ἀρχὴ … τῶν ὄντων τὸ ἄπειρον … ἐξ ὧν δὲ ἡ γένεσίς ἐστι τοῖς οὖσι͵ καὶ τὴν φθορὰν εἰς ταῦτα γίνεσθαι κατὰ τὸ χρεών· διδόναι γὰρ αὐτὰ δίκην καὶ τίσιν ἀλλήλοις τῆς ἀδικίας κατὰ τὴν τοῦ χρόνου τάξιν.
Ἀθάνατον [...] καὶ ἀνώλεθρον.
[Fragments of Anaximander]
The idea of the infinite is, perhaps, the oldest philosophical concept in the Western tradition, dating back to the earliest fragment of Anaximander. In the Physics, Aristotle credits Anaximander as the first to name the infinite as the material cause of all things and cites him as asserting that “the first element of things was the Infinite.” What is absolutely spine-tingling about this ascription of generative power to the idea of infinity is the deduction following it: since the other ‘elements’ oppose and balance one another, none of them can equal or surpass the infinite. Thus infinity is both the material cause of all things as well as their ultimate be-ing, since all the other elements which exist are finite, deriving their existence from infinity. And, since it is always within the ‘domain’ (as it were) of the infinite that “things take their rise” and “pass away once more, as is ordained,” these finite creatures, derivative of the infinite but separated from it by their antagonism for one another, must “make reparation and satisfaction to one another for their injustice according to the appointed time.”
From the very beginning of what we think of as philosophy, the infinite has been tied not only to that which floods and exceeds the bounds of all creation, both temporally and materially, but to a fundamental conception of justice and ethical principle. In the idea of the infinite the ethical relation is already asserted. The infinite is not just an illustration of the ethical relation, or the other way around; nor is it a mere similarity in ontological or metaphysical structure which is being played upon; the very transcendence embodied and overflowed in the idea of infinity already ordains respect, as from some ontological height so awesome as so to metaphysically sublime, demands that justice be “paid” or en-acted, not in some afterlife, but “according to necessity,” within time itself. That is, justice is not some transcendent figure by which a cosmic judgment is placed; justice must be rendered by “reparation and satisfaction” towards one another within time, “according to the appointed time.” There is no truth without justice and there is no justice without the ethical relation. That is to say that love demands justice, there can be no conception of true justice without invoking an infinite love–that is, there is a radical pre-ontological priority of the relationship to the human face which is the origin of social justice.
The infinite is the meaning of an unencompassable height, radically transcending us, calling our freedom into question by its monstrous presence. This calling into question by that which is limitless, by that which is beyond-being, imperishable and immortal– is already ethics, for justice is demanded by love, the relation to the other is already transfigured by an ethical relation, by the infinity which the coming of the other into my realm actualizes. The idea of infinity is a sun truly too bright for philosophy to bear without squinting at the truth. Nietzsche’s reproach of the philosophers, that they approach it all too directly, is an appreciation of the enigma and wonder of infinity, as well as its (inevitable, we’re human, right?) erotic dimension, as Nietzsche puts it: “Truth is like a woman.” In other words, philosophers confound themselves with the paradoxes of infinty, whereas there is a completely rational integration with a properly conceived religious perspective. This “trick” is simply an appreciation of the out-of-bounds surplus which the idea of infinity embodies: transcendence, right? In other words, we are situated asymetrically relative to an Otherness which precedes and supercedes us ontologically and metaphysically; the only possible relation is one of submission, i.e., ethics, being a host, welcoming the other, etc. In sociality we are rewarded amply for such a “subjection” to the beyond. We can see the infinite in language. In short, there is a completely valid perspective which integrates (post)-religion and philosophy while retaining political and moral integrity: in other words, a proper conception of the infinite and of the other, that we are always situated in relation to an-other, and that this being another-to-myself constitutes awareness itself, and moreover, is already an ethical relation.
We are close to Hegel when tells us there could be religion without philosophy, but no philosophy without religion; the idea of infinity is not just the pure formal representation of ‘endlessness,’ but is a thought which overflows itself, already springs into action as of its own accord Even the idea of infinity radically phenomenologically exceeds ourselves: and isn’t this Descartes discovery, where he discovers himself and the absolute simultaneously, as it were? But the temporality is actually reversed, for only once the absolutely infinite is glimpsed, must he squint and dilute the purity of the discovery by conceptualizing perfection or purity itself, purged of the violence of the sacred; he discovered the pinpoint self, the Cartesian subject.
Badiou rediscovers the infinite multiplicity at the core of being one-self, and concludes that the One is not (i.e., God is dead); in ontology, the radical encounter with the idea of the infinite is completely purged of the violence of the sacred. However, to reinstitute it, we don’t need recourse to religious faith per se; we need to embard upon a re-understanding of religion, as (after Marx, of course) Badiou himself knows, having written a book about St Paul, not to mention he sometimes calls his project a “laicization” of the infinte, which implies an atheist re-interpretation of religious values. Indeed, he has been preceded on this point by Emmanuel Levinas, who also speaks of a “desacralization” of the world, so that ethics could truly take place (i.e., without the totalitarian structures which currently mediate our relation to the other.)
A proper reunderstanding of religion would recognize its function politically and psychologically. Such a revaluation would necessarily involve a reorganization of almost all the academic discourses, a radical re-territorialization of arbitrarily bifurcated and sutured disciplines (ways-of-speaking and ways-of-being.) Honestly, it is about time for another great revolution in even the major categories of human understanding and the way we organize reality. The time is ripe for a concise answer to our epochs’ “life persistent questions,” some kind of post-religious ethical value-system/life-style which happens to incorporate a convincing rational explanation for our presence and meaning in the universe.
I wonder….