Showing posts with label Oresme. Show all posts
Showing posts with label Oresme. Show all posts

3 Jan 2009

Deleuze, One Manifesto Less (Un manifeste de moins), §4 "The Theater and Its Gestures" (Le théâtre et ses gestes)


by Corry Shores
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[Other entries in this Un manifeste de moins / One Manifesto Less series.]


[The following is summary; my commentary is in brackets.]


IV. Le théâtre et ses gestes

The Theater and Its Gestures

Bene disrupts the motion of the characters’ bodies, but never does that cause them to interfere with each other. Often Richard slips. But this is merely a continuous variation of his body, and not a conflict with the things around him. So his continual removing and wearing his cloak is a “variation of clothing” (111b-112a/214b.c), and the flowers vary as well. But their variations never interfere with each other’s liberty to vary, so they do not create oppositional power relations [for video of these examples, see the Richard entries.]

Likewise in S.A.D.E., the sadistic master tries to force the naked girl to metamorphose through a series of use-objectifications. But she escapes his control by expressing her gestures through an independent series of modifications. [This example left a potent impression on Deleuze. He writes, “Hommage à l’actrice qui joua à Paris.” “Hat’s off to the actress who played the part in Paris!” (113a/214d).] So although Bene’s theatre is “cruel” and “tough,” it does not create oppositional force-relations.

the relations of force and opposition belong to that which is shown only for the purpose of being subtracted, cut away, neutralized.

(215a)

les rapports de force et d’opposition font partie de ce qui n’est montré que pour être soustrait, retranché, neutralisé.

(113ab)

Any conflicts Bene does employ are merely media for variations that eliminate “masters.” (113b/215a)

[The following paragraph in Deleuze’s text runs from the middle of page 113 to the beginning of 115 in the French, and it is the complete paragraph on page 215 in the English translation. This is one of the most critical parts in all of Deleuze's writing, so we will proceed with patient care.]

In variation, what count are relations of speed or slowness, the modifications of these relations insofar as they involve gestures and statements, following variable coefficients along a line of transformation.

(215a)

Dans la variation, ce qui compte, ce sont les rapports de vitesse ou de lenteur, les modifications de ces rapports, en tant qu’ils entraînent les gestes et les énoncés, suivant des coefficients variables, le long d’une ligne de transformation.

(113bc)

[Differential coefficients are derivatives, here in the context of physics. For an explanation of instantaneous velocity and derivation, see this entry that carefully follows a profoundly illuminating explanation by MIT’s David Jerison.

So here we must recall Deleuze’s concept of Spinoza’s “instantaneous affections” and the way they relate to Bergson’s duration. In Cours Vincennes 20/01/1981, Deleuze explains that we undergo continuous affection, but it is a continuum of differential coefficients. So there are no atomic units of time, rather just pure instants. Between these instants there is no time, but we still experience a passage between them, as Bergson describes in §45 and §46 of Time and Free Will. So here Deleuze is defining continuous variation. It is not made up of atoms, but it does have simple parts, which are differentials. Such parts are relations without terms, which is why they are not atomic. (For a thorough explanation, see Deleuze’s Cours Vincennes: 17/02/1981.) They instead are tendings. They are the tendencies of forces, the way they tend at any moment, the direction they intend to go if released from all future obstructions. The are intensities. And because they are real, they are virtualities and not possibilities.

So first we imagine a series of instantaneous changes with no temporal extension between them. But each is different from the others in the series. The differences between them cannot be extensive, although they do still have magnitudes. One is this much more-or-less than the others. These magnitudes are matters of degree. They are intensities.

So in Manifesto Deleuze has us apply this to communication. We must think of gestures and statements as continuums of differentials. If we were to vary them consistently, there would not be intensity, because the differences between differences would not be significant. So we must change the rates of change. We must continually change the change. This is what creates intensity. This is stuttering.]

It is in this way that the writing and gestures of CB are musical: it is because every form is deformed by modifications of speed, with the result that one does not use the same gesture or the same word twice without obtaining different temporal characteristics. This is the musical formula of continuity, or of transformable form.

(215b)

C’est par là que l’écriture et les gestes de CB sont musicaux : c’est parce que toute forme y est déformée par des modifications de vitesse, qui font qu’on ne repasse pas deux fois par le même geste ou le même mot sans obtenir des caractéristiques différentes de temps. C’est la formule musicale de la continuité, ou de la forme à transformation.

(113c.d)

[Just as musicians might modulate speeds or keys, Bene modulates the speed-changes of the speech and gestures.]

The physicists of the Middle Ages spoke of deformed movements and qualities according to the distribution of velocities among the different points of a moving body or the distribution of intensities among the different points of a subject. The subordination of form to speed, to variation in speed, the subordination of the subject to intensity or affect, to the intensive variation of affects: these are, it seems to us, two essential goals to achieve in the arts.

...

There is a whole geometry in CB’s theater, but a geometry in the manner of Nicolas Oresme, a geometry of speeds and intensities, of affects.

(215bc) (215c)

Les physiciens du Moyen Age parlaient de mouvements et de qualités difformes, suivant la distribution des vitesses entre les différents points d’un mobile, ou la distribution des intensités entre les différents points d’un sujet. La subordination de la forme à la vitesse, à la variation de vitesse, la subordination du sujet à l’intensité ou à l’affect, à la variation intensive des affects, c’est, nous semble-t-il, deux buts essentiels à obtenir dans les arts.

...

Il y a toute une géométrie à la manière de Nicolas Oresme, une géométrie des vitesses et des intensités, des affects.

(114a.c) (114-115)

[Here Deleuze refers to Oresme. We treat in detail his “latitude of forms” in this entry. Oresme lies at the very heart of Deleuze’s philosophy. Oresme invented the science of intensity, by creating a graphic way to depict it. What he illustrated was that there is a series of degrading forms of qualitative change. It is easiest to consider speed. When something maintains its speed, it moves from one place to another during a period of time. So its extensive properties change. But, the relationship between time and space do not change. This relationship is an intensity, a non-extensive dimension made by placing two extensive dimensions into a differential relation. A bird in flight has a quantity of speed, but speed does not extend in space, yet it is a tendency that is in extension; it is an intensity.

If the bird were to accelerate at a constant rate, then we have another dimension of change. The first dimension was change in extensive position. This second change is another differential relation: speed per time. This qualifies more as an intensity, because it is a difference of powers. For, speed is already distance over time. When you divide that again by time, you have distance over time squared, that is, distance divided by time to the second power. In a sense, we have deformed the motion, stretched it into another dimension.

But we may deform the motion even more. We may vary the acceleration of the bird. It can go faster at one point, abruptly slower at another. In other words, we can make its motion stutter. This is a far better example of intensity, because it is more of a difference of differences, that is, of pure difference in itself.]

Bene thereby creates affects without subjects and velocities without form. But what is important here in Bene’s technique is that it is not schizophrenic: there is a continuity to the change, a “grace in the movement of disgrace” (la grâce au mouvement de la disgrâce.)

He wishes only to subordinate the designated forms to the deformity of movement or of quality themselves.

(215c)

Il ne veut rien d’autre que subordonner les formes qualifiées à la difformité du mouvement ou de la qualité mêmes.

(114d)

In theatre, there is a music in aural speeds. In cinema there is a music to the visual speeds. Bene films his theatre, and intersects the two. They do not run parallel. They disrupt each other. Nonetheless, they do not interfere with each other’s freedom of variation. Rather, they form one and the same continuum. (115a-116a/215-216)

There are two lines of variation in Bene’s Richard III.

1) Richard’s gestures continually disrupt themselves, and

2) The Duchess’ voice never ceases fluctuating.

At the play’s start, these two lines of variation do not intersect, because Richard has not yet been constituted. (116b-117b/216b) Richard still needs to run through emotions and raise his war-machine.

He has not yet attained the disgrace of “his” grace, the deformity of his form.

(216bc)

Il n’a pas encore atteint la disgrâce de « sa » grâce, la difformité de sa forme.

(117a)

The constitution will begin with Richard’s “comprehension” scene with Lady Ann:

1) The actor playing Richard realizes his own idea. He goes through his drawers, passing through casts and prostheses, until finally achieving the “miracle” that cripples his good hand like his bad one. He thereby “wins his political choice” and “constitutes his deformities and his war-machine.” (117c/216c)

2) When Richard has his “form,” Lady Ann aggresses him. But when he deforms, she becomes distraught and consenting. She constitutes herself in contrapuntal variation to Richard’s. She then helps Richard find his prostheses.

And, better and better, faster and faster, she starts to seek herself for the amorous deformation. She will wed a war-machine, instead of remaining in the dependency and power of a State apparatus.

(216-217)

Et, de mieux en mieux, de plus en plus vite, elle va chercher elle-même la déformation amoureuse. Elle va épouser une machine de guerre, au lieu de rester dans la dépendance et le pouvoir d’un appareil d’Etat.

(118a)

Her variation continues independently while wedding with Richard’s: they together create differences of differences. She never ceases undressing and redressing

to a rhythm of regression-progression that corresponds to the subtractions-constructions of Richard.

(217a)

sur un rythme de régression-progression qui répond aux soustractions-constructions de Richard.

(118bc)

3) Their visual variations in gesture and aural variations in vocal tonality themselves remain along their own lines of variation. But as well, they create another dimension of variation by increasingly coming to vary with each other. (118c.d/217a)

In this way, “the Idea becomes visible, sensible, politics become erotic.” At this point, the two continua of variation become one continuum varying to a higher power, and hence within a higher dimension. (118d/217a.b)


Deleuze, Gilles. “One Manifesto Less.” in The Deleuze Reader. Ed. Constantin V. Boundas. Transl. Alan Orenstein. New York: ColumbiaUniversity Press, 1993.

Deleuze, Gilles. “Un manifeste de moins.” in Superpositions. Paris: Les Éditions de Minuit, 1979.


16 Dec 2008

Deleuze's Expressionism in Philosophy Ch 12 "Modal Essence: The Passage from Infinite to Finite," summarized


by
Corry Shores
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Gilles Deleuze

Spinoza et le problème de l'expression
Expressionism in Philosophy: Spinoza

Ch.12
"L'Essence de mode : Passage de l'infini au fini"
"Modal Essence: The Passage from Infinite to Finite"


As eternal and infinite qualities, attributes are indivisible; hence even Extension, insofar as it is a substantial quality or attribute, is indivisible [See section XI of Gueroult's "Spinoza's Letter on the Infinite."] However, under certain conditions, each infinite quantity can be divided into parts, because attributes in one sense are "divided" into modes. But modes are not really distinct, rather they are just modally distinct. (173ab/191ab) [Citations give French version first, followed by English.]

But "part" takes on two senses:

1) Part of a power, "of intrinsic or intensive parts, true degrees, degrees of power or intensity" (de parties intrinsèques ou intensives, véritables degrés, degrés de puissance ou d'intensité) (173c/191c). Hence modal essences are defined as degrees of power. In this way, Spinoza follows the Scholastic tradition that equates modus intrinsecus = gradus = intensio. [See the Oresme entry for intensio represented as latitude of forms, an important articulation of intensity for Deleuze.]

2) Extensive parts, which are extrinsic parts that are "external to one another, and acting on one another from outside" (extérieures les unes aux autres, agissant du dehors les unes sur les autres) (193d/191d). Hence Spinoza's "simplest bodies" are the "ultimate extensive modal divisions of Extension." [see the end of Deleuze's Cours Vincennes 10/03/1981 for more on intrinsic and extrinsic relations of simple bodies.]

The modes of extension are defined by degrees of power; and even the attribute of Thought has extensive modal parts corresponding to the simplest bodies (174a/192a).

So to each attribute belongs two infinite quantities divisible under certain conditions:

1) The intensive quantity that divides into intensive parts
2) The extensive quantity that divides into extensive parts.

Deleuze then equates extensity and intensity with Spinoza's two types of infinities [distinguished in his "Letter on the Infinite"].

1) The infinity of intensities stems from their being indefinite: they cannot be equated with any number, although they can be conceived as greater or less. [see the beginning of Deleuze's Cours Vincennes 10/03/1981 for more on indefinite magnitudes.]

2) The infinity of extensities stems from their being caused by substance, which is infinite, so no matter how many times we divide extensities, there is always more to be divided. (174b.c/192b.c) [Again, see section XI of Gueroult's "Spinoza's Letter on the Infinite."]

Modal essences are physical realities, not logical possibilities, not even metaphysical entities. There are no non-existent modes, because it is necessary that all modes' essences exist. The modes themselves however have durations, so while their essences always have necessary physical reality, the modes themselves do not (174-175/192-193). This is contrary to Leibniz, who regards an essence or individual notion as a logical possibility with a "tendency to exist." However in Spinoza, non-existent essences are still contained in God's understanding as ideas (175b/193b). [See comparison with Leibniz towards the end of Deleuze's Cours Vincennes 10/03/1981 for more on modal essence as not possibility.]

Both modal essences and existing modes have God as their efficient cause. So Spinoza defines a mode's essence as not involving (n'enveloppe pas) its existence, and this is because the mode's essence does not contain within it the cause of the mode's existence. (175c/193c).

Although there is a distinction between the mode's essence and its existence, there is no real distinction between the existence of the mode's essence and the essence itself. We see this in Scotus: existence necessarily accompanies essence, but only because the essence is caused by something that is necessary (substance). So the essence's existence is not included or involved in essence (incluse ou enveloppée), rather it is added to it in such a way that it is not actually distinct from it, for instead the essence's existence is a determination of the essence, whose cause makes this determination. (176a/193-194)

For this reason, the essence's having an existence or physical reality goes hand-in-hand with God being the efficient cause of the essence, because the existence of the essence results from God causing it to be. Thus the essence's existence is no different from its being caused. (176b.c/194b)

Unlike Descartes' thinking, God does not cause possibilities for Spinoza, so it is only by abstractly considering modal essences as though divorced from their cause can we can think of them as possible. (176-177/194b.c)

Essences agree for two reasons:
1) They are all causes of one another in a complex web of causations.
2) All essences have a common cause: God.

Thus essences form a total system, an actually infinite whole.

C'est pourquoi les essences forment un système total, un ensemble actuellement infini. (177b/194c)

The question of how to distinguish essences brings us to the problem of individuality in Spinozism (177c/194-195).

Spinoza makes the matter more difficult by saying in the Short Treatise that when modes are not existing, their corresponding essences are indistinguishable from their proper attribute and from one another, hence they lack a principle of individuality. Thus individuation occurs only by means of the mode's existence. (177-178/195a.b)

However, we cannot conclude with certainty that in the Short Treatise Spinoza really means that there is no singularity and distinction of essences as such; for, he seems to mean that when modes do not exist, their essence is contained solely in their attribute, and because in that state they do not exist anywhere else, their ideas cannot represent them as being distinct from their attribute. Also, when a mode does not exist, the idea of its essence cannot be distinct, even if the essence can be, because like the totally white wall, nothing can be distinguished in it, even though there are still differences within it. (178a.b/195b.c)

So when something is contained in something else, as the modal essences in their attributes, in a way, they cannot be distinct from each other. Hence distinction in this sense is extrinsic distinction, which requires that one thing must be taken apart from something else (thus not be contained in it) in order for the two to be distinguished. (178c/195d)

But when a mode exists, it has duration, during which it is no longer simply contained in its attribute, so it is through their durations that existing modes obtain their extrinsic individuation (178-179/196a).

When the wall is white and thus when we cannot make-out any shapes in it the quality of the wall's whiteness is not affected by anything extrinsically distinct from it. However, there nonetheless can be another sort of modal distinction that presents an intrinsic principle of individuation. Deleuze also notes that the mode's existence alone is not enough to distinguish it; moreover, any extrinsic distinctions seem to presuppose prior intrinsic ones [because before one thing can be distinguished from another, it must have intrinsic properties for the comparison]. So modal essences should be singular in themselves, even if their corresponding mode does not exist, and their singularity must be intrinsic, [all because otherwise we would not be able to say that there are numerous modes to begin with.]

To explain how this is so, Deleuze returns to Duns Scotus, who holds that whiteness has various intensities that are not added to the whiteness as though they were separate things, like when we add a shape on the wall by inscribing it there. The whiteness' varying degrees of intensity are intrinsic determinations, that is, intrinsic modes, of this whiteness which itself remains self-same despite its various modalities. (179c/196c.d)

Similarly, for Spinoza modal essences are likewise intrinsic modes or intensive quantities. So attributes remain as the self-same qualities they are, while containing all those degrees that affect it modally without altering its "formal reason." (179d/196-197)

Modal essences are thus distinguished from their attribute as intensities of its quality, and from one another as different degrees of intensity.

les essences de modes se distinguent donc de l'attribut comme l'intensité de la qualité, et se distinguent entre elles comme les divers degrés d'intensité.
(179-180/197a)

Although Spinoza does not make this argument explicitly, we might still conclude that he considers here modal essences' distinct singularities; because the modal essences are distinguished in these cases intrinsically in terms of being different quantities of intensity. If the modes are to be qualitatively identified with absolute substance by means of their belonging to their proper attribute, then the only sort of distinction between modes would be a quantitative one, their being more or less of that attribute or quality, which is an essential difference of intensity. (180a.b/197a.b)

each finite being must be said to express the absolute, according to the intensive quantity that constitutes its essence, according, that is, to the degree of its power. Individuation is, in Spinoza, neither qualitative nor extrinsic, but quantitative and intrinsic, intensive.

chaque être fini doit être dit exprimer l'absolu, suivant la quantité intensive qui en constitue l'essence, c'est-à-dire suivant son degré de puissance. L'individuation chez Spinoza n'est ni qualitative ni extrinsèque, elle est quantitative-intrinsèque, intensive.
(180b/197b.c)

So because they differ in power, modal essences are distinct from one another intrinsically, and because each are singular degrees, they obtain a sort of intrinsic distinction from the attribute that contains them. (180bc/197c)

Intensive quantities are infinite in the sense that there is infinite series of differing degrees of intensity in an attribute or substantial quality. In this way, the attribute contains better, complicates all its modes' essences, because it contains them as its own infinite series of degrees of intensive quantities. (180c/197d)

In one sense, this intensive infinite is indivisible, because the only way we could possibly divide it is abstractly, but by doing so, we strip it of its physical reality (180d/197-198) [so if we draw lines around regions of generally-similar intensive values, as for example commonly shaded white areas of the wall, then we are considering them ideally or imaginatively, rather then in their fully physical and irreducible complexity]. Thus modal essences cannot be separated from each other, and for this reason we may characterize them as being in total agreement with each other [just as if we had a shade continuum from white to black, we might say the white and black agree with each other on account of the bridging continuum of shades of difference that brings them together on the same plane of intrinsic quality-differentiation]. Despite their agreement, however, modal essences nonetheless maintain their unique singularity and particularity by being intrinsically distinguishable from one another. Because they are together linked by a continua in their "concrete system"(système concret), essences are involved in each other's production [for each directly follows from another]. This is the case for all degrees of essences, because the series of essences/degrees is "actually infinite" (actuellement infinie) [for more on actual infinity, see Spinoza's 12th Letter and Gueroult's commentary, Deleuze's Cours Vincennes: 10/03/1981. and Deleuze's commentary on Spinoza's critique of Boyle's notion of divisibility]. And nonetheless, despite their continuity, each essence is an irreducible degree that we regard has a singular unity. "Such is the system of 'complication' of essences" (Tel est le système de la « complication » des essences). (180-181/197-198)

Spinoza's sense of particular essence is unlike Leibniz', because we are not to take them as microcosms, all contained within each other; rather for Spinoza, modal essences are all involved in each other's production. They are pars intensiva (intensive parts of the attribute itself) rather than pars totalis (whole in the parts). (181b/198b)

Modal essences have the expressive power to express the infinity of the absolutely infinite substance, although we see this involves the problem of the passage from the infinite to the finite. Substance, as the absolute ontological identity of all attributes or qualities, is thus indivisible; and likewise attributes, as substance's infinite forms or qualities, are also indivisible. Thus anything that is finite is neither substantial nor qualitative. But for Spinoza, finitude is no illusion, because the finite is modal and quantitative.

Each substantial quality has intensive modal quantity, itself infinite, which actually divides into an infinity of intrinsic modes. These intrinsic modes, contained together as a whole in an attribute, are the intensive parts of the attribute itself.

Chaque qualité substantielle a une quantité modale-intensive, elle-même infinie, qui se divise actuellement en une infinité de modes intrinsèques. Ces modes intrinsèques, contenus tous ensemble dans l'attribut, sont les parties intensives de l attribut lui-même.
(181d/198d)

And because they are parts of the attribute, intrinsic modes are parts of God's power: "their essence is itself part of God's power, is an intensive part, or a degree of that power" (leur essence même est une partie de la puissance de Dieu, c'est-à-dire un degré de puissance ou partie intensive) (181-182/199a). For this reason, modes are essentially expressive, because they express God's power in accordance with that degree of power constituting their essence.

The individuation of the finite does not proceed in Spinoza from genus to species or individual, from general to particular; it proceeds from an infinite quality to a corresponding quantity, which divides into irreducible intrinsic or intensive parts.

L'individuation du fini chez Spinoza ne va pas du genre ou de l'espèce à l'individu, du général ou particulier; elle va de la qualité infinie à la quantité correspondante, qui se divise en parties irréductibles, intrinsèques ou intensives. (182a/199a.b)


From:

Deleuze, Gilles. Spinoza et le problème de l'expression. Paris: Les Éditions de Minuit, 1968.

Deleuze, Gilles. Expressionism in Philosophy: Spinoza. Trans. Martin Joughin. New York: Zone Books, 1990.



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