“inflection is the pure Event of the line or of the point, the Virtual, ideality par excellence. It will take place following the axes of the coordinates, but for now it is not yet in the world“
“If plastic forces can be distinguished, it is not because living matter exceeds mechanical processes, but because mechanisms are not sufficient to be machines. A mechanism is faulty not for being too artificial to account for living matter, but for not being mechanical enough, for not being adequately machined.
Our mechanisms are in fact organized into parts that are not in themselves machines, while the organism is infinitely machined, a machine whose every part or piece is a machine, but only "transformed by different folds that it receives. "Plastic forces are thus more machinelike than they are mechanical, and they allow for the definition of Baroque machines. It might be claimed that mechanisms of inorganic nature already stretch to infinity because the motivating force is of an already infinite composition, or that the fold always refers to other folds. But it requires that each time, an external determination, or the direct action of the surroundings, is needed in order to pass from one level to another; without this we would have to stop, as with our mechanisms. The living organism, on the contrary, by virtue of preformation has an internal destiny that makes it move from fold to fold, or that makes machines from machines all the way to infinity. We might say that between organic and inorganic things there exists a difference of vector, the latter going toward increasingly greater masses in which statistical mechanisms are operating, the former toward increasingly smaller, polarized masses in which the force of an individuating machinery, an internal individuation, is applied.”
“It is an envelope of inherence or of unilateral "inhesion": inclusion or inherence is the final cause of the fold, such that we move indiscernibly from the latter to the former. Between the two, a gap is opened which makes the envelope the reason for the fold: what is folded is the included, the inherent. It can be stated that what is folded is only virtual…a virtuality that currently exists only in the folds of the soul which convey it, the soul implementing inner pleats through which it endows itself with a representation of the enclosed world. We are moving from inflection to inclusion in a subject, as if from the virtual to the real, inflection defining the fold, but inclusion defining the soul or the subject, that is what envelops the fold, its final cause and its completed act.”
“The Baroque invests in all of these places in order to extract from them power and glory. First of all, the camera obscura has only one small aperture high up through which light passes, then through the relay of two mirrors it projects on a sheet the objects to be drawn that cannot be seen, the second mirror being tilted according to the position of the sheet." And then transformational decors, painted skies, all kinds of trompe l'oeil that adom the walls: the monad has furniture and objects only in trompe l'oeil. Finally, the architectural ideal is a room in black marble, in which light enters only through orifices so well bent that nothing on the outside can be seen through them, yet they illuminate or color the decor of a pure inside. (Is it not the Baroque manner, such as this, that inspires Le Corbusier in the Abbey of La Tourette?) The Leibnizian monad and its system of light-mirror-point of view-inner decor cannot be understood if they are not compared to Baroque architecture. The architecture erects chapels and rooms where a crushing light comes from openings invisible to their very inhabitants. One of its first acts is in the Studiolo of Florence, with its secret room stripped of windows. The monad is a cell. It resembles a sacristy more than an atom: a room with neither doors nor windows, where all activity takes place on the inside.”
“Domestic architecture of this kind is not a constant, either of art or of think-ing. What is Baroque is this distinction and division into two levels or floors.
The distinction of two worlds is common to Platonic tradition. The world was thought to have an infinite number of floors, with a stairway that descends and ascends, with each step being lost in the upper order of the One and disintegrated in the ocean of the multiple. The universe as a stairwell marks the Neoplatonic tradition. But the Baroque contribution par excellence is a world with only two floors, separated by a fold that echoes itself, arching from the two sides according to a different order. It expresses, as we shall see, the transformation of the cosmos into a ‘mundus’.”
“Matter that reveals its texture becomes raw material, just as form that reveals its folds becomes force. In the Baroque the coupling of material-force is what replaces matter and form”
“These undefinables are obviously not reciprocal inclusions, like definitions, but they are autoinclusions: they are Identicals in the pure state, each of which includes itself and includes only itself, each only capable of being identical to itself. Leibniz draws identity into infinity: the Identical is an auto-position of the infinite, without which identity would remain hypothetical (if A is, then A is A . . .).
This mark of identity can allow us to demonstrate that Leibniz makes a very special, indeed Baroque, conception from these principles. In this respect Ortega y Gasset makes a set of subtle remarks: on the one hand, Leibniz loves princi-ples, and he is probably the only philosopher who invents them endlessly. He invents them with pleasure and enthusiasm, and he brandishes them like swords.
But on the other hand, he plays with principles, multiplies formulas, varies their relations, and incessantly wants to "prove" them as if, loving them too much, his respect for them were lacking. Leibniz's principles are not universal empty forms; nor are they hypostases or emanations that might turn them into beings.
But they are the determination of classes of beings.
If the principles appear to us as cries, it is because each one signals the presence of a class of beings that are themselves crying and draw attention to themselves by these cries. In this way we could not be led to believe that the principle of identity causes us to be aware of nothing, even if it does not make us penetrate into this awareness. The principle of identity or, rather, the principle of contradiction, as Leibniz says, makes us become aware of a class of beings, that of the Identicals, which are complete beings. The principle of identity — or rather, of contradiction - is only the cry of the Identicals. It cannot be an abstraction.
It is a signal. Identicals are undefinables in themselves and exist perhaps beyond our ken; they have, no less, a criterion that the principle makes us aware of or able to hear.”
“And even when the subject will be the monad without parts, predicates will continue to be "affections and relations," at least in the lexicon of the Monadology.”
“The two nominal characters on which everyone agrees in principle, from Aristotle to Descartes, are: on the one hand, sub-stance, what is concrete, determined, individual, in the sense that Aristotle speaks of this, and Descartes, of that stone; on the other hand, substance is subject to inherence or inclusion, in the way that Aristotle defines accident as
"what is present in substance," and Descartes states that substance is a "thing in which what we conceive exists formally or eminently." But no sooner than we search for a real definition of substance, it appears that the two characters are removed for the sake of an essential, necessary, and universal essence or attribute in the concept. Thus, for Aristotle, the attribute is not in the subject as if by accident, but is affirmed by the subject, such that it can be treated as a second substance. And for Descartes the essential attribute is confused with sub-stance, to the point that individuals now tend only to be modes of the attribute as it generally is. Far from proving individuality and inclusion, attribution and the definition of substance call them into question.”
“And if we return to motives in order to study them for a second time, they have not stayed the same.
Like the weight on a scale, they have gone up or down. The scale has changed according to the amplitude of the pendulum. The voluntary act is free because the free act is what expresses the entire soul at a given moment of its duration. That act is what expresses the self.“
“That another degree implies another soul and another world does not hinder this degree from actualizing the liberty of a given soul in this world.
The automaton is free not because it is determined from within, but because every time it constitutes the motive of the event that it produces.”
“eternity consists, much less in forging ahead or in going backwards, than in coinciding each time with all the passages that follow in the order of time”
“It is only to the detriment of the damned, who are freely cut away. Their worst punishment may be that of serving the progress of others, not by the negative example that they offer, but through the quantity of positive progress that they involuntarily leave to the world when they renounce their own clarity. In this sense, despite themselves, the damned could be attached in no better way to the best of all possible worlds.”
“What are the conditions that make an event possible? Events are produced in a chaos, in a chaotic multiplicity, but only under the condition that a sort of screen intervenes.
Chaos does not exist; it is an abstraction because it is inseparable from a screen that makes something - something rather than nothing — emerge from it.
Chaos would be a pure Many, a purely disjunctive diversity, while the something is a One, not a pregiven unity, but instead the indefinite article that designates a certain singularity. How can the Many become the One? A great screen has to be placed in between them. Like a formless elastic membrane, an electromagnetic field, or the receptacle of the Timaeus, the screen makes something issue from chaos.“
“A concert is being performed tonight. It is the event. Vibrations of sound disperse, periodic movements go through space with their harmonics or submultiples. The sounds have inner qualities of height, intensity, and timbre. The sources of the sounds, instrumental or vocal, are not content only to send the sounds out: each one perceives its own, and perceives the others while perceiving its own. These are active perceptions that are expressed among each other, or else prehensions that are prehending one another: "First the solitary piano grieved, like a bird abandoned by its mate; the violin heard its wail and responded to it like a neighboring tree. It was like the beginning of the world. . . ."
The origins of the sounds are monads or prehensions that are filled with joy in themselves, with an intense satisfaction, as they fill up with their perceptions and move from one perception to another. And the notes of the scale are eternal objects, pure Virtualities that are actualized in the origins, but also pure Possibilities that are attained in vibrations or flux."
“For Leibniz, as we have seen, bifurcations and divergences of series are genuine borders between incompossible worlds, such that the monads that exist wholly include the compossible world that moves into existence. For Whitehead (and for many modern philosophers), on the contrary, bifurcations, divergences, incompossibilities, and discord belong to the same motley world that can no longer be included in expressive units, but only made or undone according to prehensive units and variable configurations or changing captures. In a same chaotic world divergent series are endlessly tracing bifurcating paths. It is a
"chaosmos" of the type found in Joyce, but also in Maurice Leblanc, Borges, or Gombrowicz. 'Even God desists from being a Being who compares worlds
richest comossible.“
“If, with Kant, it is objected that such a conception reintroduces infinite un-derstanding, we might be impelled to remark that the infinite is taken here only as the presence of an unconscious in finite understanding, of something that cannot be thought in finite thought, of a nonself in the finite self, the presence that Kant will himself be forced to discover when he will hollow out the difference between a determinant and a determinable self.”
“Clearly, there is nothing new about the formula of "having a body," but what is new is that analysis bears upon species, degrees, relations, and variables of possession in order to use it to fashion the content or the development of the notion of Being.
Much more than Husserl, Gabriel Tarde fully discerned the importance of this mutation, and he called in question the unjustifiable primacy of the verb "to be." "The true opposite of the self is not the non-self, it is the mine; the true opposite of being, that is, the having, is not the non-being, but the had.”
“That relations are predicates is in no way paradoxical, but only if we understand what a predicate is, what makes it differ from an attribute; and the preestablished harmony implies no outer relation among the monads, but only ties regulated on the inside.
In contrast, the paradox appears insurmountable as soon as appeal is made to an extrinsic possession: that is, a relation that clearly has a subject, but that is not in its subject, and that is not a predicate. There Leibniz discovers that the monad as absolute interiority, as an inner surface with only one side, nonetheless has another side, or a minimum of outside, a strictly complementary form of outside. Can topology resolve the apparent contradiction? The latter effectively disappears if we recall that the "unilaterality" of the monad implies as its condition of closure a torsion of the world, an infinite fold, that can be unwrapped in conformity with the condition only by recovering the other side, not as exterior to the monad, but as the exterior or outside of its own interiority: a partition, a supple and adherent membrane coextensive with everything inside. Such is the vinculum, the unlocalizable primary link that borders the absolute interior.”
“We can also remark that derivative forces are exerted on secondary matter, or that they belong to it. It is because material aggregates themselves possess structures and figures that conform to statistical laws of equilibrium, of contact or of field, of thrust or of traction, as we have seen for the extrema. But such laws or secondary linkages imply that forces en masse are exerted upon the aggregates, and may be collective without being, for that, statistical. These derivative forces are effectively those of dominated monads that, however, conserve their individ-uality, each in respect to another body where it is projected as a primary force or a dominant monad. And further, all clusters of dominated monads, along with their derivative forces, exist only in the pure individuality of their dominant as a primary force of surveillance.
Derivative forces thus trace an entire area that can be called mixed, or rather, intermediary, between statistical collections and individual distributions, and which is made manifest in the phenomena of crowds.' It is still more interindi-vidual and interactive than it is collective.”
“Would it not be a misreading to identify derivative forces - whether elastic or plastic — with species of monads? Every monad is an individual, a soul, a sub-stance, a primal force, endowed with a solely inner action, while derivative forces are said to be material, accidental, modal, "states of a substance" that are exerted on bodies. But the issue involves knowing what is meant by state, and if it is reducible to a predicate. If derivative forces cannot be substances by virtue of their recognizable characters, it is impossible to see how they could ever be predicates contained in a substance. We believe that the terms "state" or "modification" must be understood in the sense of predicate, but as a status or a (public) aspect. Derivative forces are none other than primary forces, but they differ from them in status or in aspect. Primary forces are monads or substances in themselves or of themselves. Derivative forces are the same, but under a vinculum or in the flash of an instant. In one case, they are taken in multitudes and become plastic, while in the other they are taken in a mass and become elastic, because masses are what change at every instant (they do not go from one instant to another without being reconstituted). Derivative force is neither a substance nor a predicate, but several substances, because it exists only in a crowd or in a mass. They might be called mechanical or material forces, but in the sense in which Leibniz also speaks of "material souls," because in the two cases they belong to a body, they are present to a body, an organism or an aggregate. They are no less really distinct from this body, and they do not act upon it any more than they act upon one another. If they are present to the body, it is by requisition, in the name of requisites. And this body to which they belong is not their own, but a body that on its account belongs to a monad removed from its status, from a multitude, and from a mass, in and by itself, as a primary force.
The latter is also present to its body, and without acting upon it, but in a different way. It is present by projection. Now, in their turn, derivative forces have a body that belongs to them, but insofar as they abandon their status in order to return in and of themselves, each one becomes the primal force that it never ceased to be. We have seen how Whitehead, by way of Leibniz, had developed the public and the private as phenomenological categories.”
“We can consider the different appearances of the word "harmonic." They constantly refer to inverse or reciprocal numbers: the harmonic triangle of numbers that Leibniz invented to complete Pascal's arithmetical triangle; the harmonic mean that retains the sums of inverses; but also harmonic division, harmonic circulation, and what will later be discovered as the harmonics of a periodic movement. However simple these examples, they allow us to understand certain traits of the theory of monads, and first of all why we go, not from monads to harmony, but from harmony to monads. Harmony is monadological, but because monads are initially harmonic. The programmatic text states the point clearly: when the infinite Being judges something to be harmonic, it conceives it as a monad, that is, as an intellectual mirror or expression of the world. Thus the monad is the existant par excellence.”
“Harmony is twice pre-established: by virtue of each expression, of each expressant that owes only to its own spontaneity or interiority, and by virtue of the common expression that establishes the concert of all these expressive spontaneities. It is as if Leibniz were delivering us an important message about communication: don't complain about not having enough communication, for there is always plenty of it. Communication seems to be of a constant and preestablished quantity in the world, akin to a sufficient reason.
The most general given has vertical harmony in accords in a position subordinate to horizontal melody, to the horizontal lines of melody.“