abstraction

Phase space

in , ,

Phase space: (or state space) Allows representation of the behaviour of a system in geometric form. The number of dimensions required for the phase space is a function of the "degrees of freedom" of the system.
A dynamical system consists in two parts: the notions of a state (the essential information about a system) and a dynamic (a rule that describes how the state evolves with time). This evolution can be visualized in a phase space. Phase spaces can have any number of dimensions, corresponding to the “degrees of freedom” of the system. The figures drawn in the phase space that describe the system's behavior are phase portraits.

Read More

Singularity

in , , , , , ,

A singularity is a kind of discontinuity. It might or might not be interesting. A vaguer use of the term is simply "a point where something happens" (although this equally describes an event.) Deleuze and Guattari are fascinated by singularities because they are points of unpredictability, even when deterministic. They are thus the sites of revolutionary potential.

As used by mathematical physicists, a singularity means a place where slopes become infinite, where the rate of change of one variable with another exceeds all bounds, and where a big change in an observable is caused by an arbitrarily small change in something else. (cf sensitivity to initial conditions). It is an actual point of infinite density and energy that's kind of a rupture in the fabric of space-time.


Astrophysics describe the centers of black holes as singularities.The Big Bang is considered to be a singularity.
A phase singularity is a point at which phase is ambiguous and near which phase takes on all values. Time at the poles of the earth is an example.

Read More

Analogy/Homology

in ,
Analogy/Homology

The concept of homology, or morphological correspondence, was the central tenet of philosophical anatomy. It was used to define structural similarity. Homologies, which are now defined in terms of evolution, were formerly interpreted in a transcendental sense. Whereas homologous parts are now considered to have descended from a common ancestor, in the pre-Darwinian era they were usually looked upon as evidence of an ideal pattern imposed on nature, or a blueprint in the mind of the creator.

Read More

assemblage

in ,

The French terms of both agencement and dispositif used by Deleuze and Guattari are usually translated as assemblage. An assemblage is a "site at which a discursive formation intersects with material practices" (Jonathan Crary, Techniques of the Observor, p. 31) It is "simultaneously a machinic assemblage and an assemblage of enunciation" (D+G, Thousand Plateaus, p. 504)

Read More

Attractors

in

Attractors are geometric forms that characterize long-term behaviour in the phase space. Roughly speaking, an attractor is what the behaviour of a systems settles down to, or is attracted to. They are globally stable in the sense that the system will return if perturbed off the attractor, as long as it remains within the basin of attraction.

Read More

Consumerism

in , , , ,

"When the going gets tough, the tough go shopping."

Consumerism is an acceptance of consumption as a way to self-development, self-realization, and self-fulfillment. It makes a clear separation between producers and consumers. In a consumer society an individual's identity is tied to what s/he consumes. People living in consumer cultures have a tendency to satisfy social, emotional, and spiritual needs with material things.

For critics of consumerism, such as Zygmunt Bauman (Consuming Life), “the consumerist society has to rely on excess and waste” (p.38) The advent of consumerism augurs the era of ‘inbuilt obsolescence” and the insatiability of needs. New needs need new commodities; new commodities need new needs and desires, and this dynamic makes individuals wish to do what is needed for the to enable the system to reproduce itself. Thus consumption is a “hedonic treadmill” (p.45). Its promises of satisfaction remain seductive only as long as the desire stays ungratified.

Read More

durée

in , ,

For Henri Bergson, duration is not an objective mathematical unit, but the subjective perception of space-time. Bergson believed that the conventions of scientific practice were incompatible with lived experience. In his "Essay on the Immediate Data of Consciousness" (1889), Bergson argued that experience viewed as a succession of separate, thinglike states is no less an abstraction from lived consciousness than time as measured by the hands of a clock. Both are fundamentally spatial. Lived consciousness, on the other hand, is a spatiotemporal continuum, "like a mutual penetration, a solidarity, an intimate organization of elements, each of which is representative of the others and neither distinguished from nor isolated by abstracting thought." (see also memory)

For Bergson, we can describe the movement of an object in space, for example, by postulating an infinite number of reference points, through which the object may be said to move. But "they are not parts of the movement; they are so many views taken to it; they are, we say, only supposed stopping points. Never is the mobile reality in any of these points; they most we can say is that it passes through them." Bergson proposed a division of labor between the analytical methods of scientists and the intuitions of the metaphysicians, who would strive for a "true empiricism" that would seek to keep "as close to the original itself as possible."

Read More

embodiment

in , , , ,

Embodiment is the line between psychology and biology. One important feature of embodiment is that the interaction between the body and cognition is circular. Thus posture, facial expressions, or breathing rhythm are in a feedback loop with motor movement, mood, and cognition. I am bouncing along the street because I am happy but I am also happy because I am walking with a spring in my step.

Read More

fold

in ,

"In the late work of the painter is the fold / of that which comes to presence and of presence itself / become simple, 'realized.' healed, / transfigured in an identity full of mystery. / Does a path open up here, that leads to the co- / belonging of poetry and thought?" From Martin Heidegger, "Cezanne." in Gedaches, quoted in Agamben, Stanzas, p 158, n.)

"A structure is a regularized infolding of an aleatory outside." (Brian Massumi, p. 58) (see inside / outside ) For Gilles Deleuze, the Baroque is an operative function endlessly producing folds. These operations occur on two levels: the pleats of matter and the folds of the soul. What is the connection between the two? Correspondence, communication, or a fold between two folds?

Read More

frame

in ,

If distinctions are "frames" for observing and describing identities, we will need a theory of frames, including, as Derrida would say, a frame for the theory of frames. In the Parergon quote, Derrida twists the theory of the frame to directly connect its inside and outside. The lack of a theory of the frame is directly connected to the place of lack within the theory. 

Read More

kiesler

in

The latter part of the twentieth century is marked, above all, by the confrontation between the human and the machine, by the repeated redefinitions of each in terms of the other. In the age of biopower and biotechnologies, cyborgentities proliferate, spawning hybrid terms like artificial life, machinic phylum, virtual realities, computer agents, and desiring machines.
For the architectural avant-gardes of the earlier part of the century, this confrontation was developed and formalized through, on the one hand, the abstraction and materialilty of De Stijl and Constructivism respectively, and on the other hand, the biomorphic forms and psychic associations of Surrealism.

Read More

logical type

in

"This statement is a lie." true or false? 
Bertrand Russell' s theory of logical types arose in the early part of the twentieth century as a result of contradictions and paradoxes in the mathematical theory of infinite sets. For example, "the class of all those classes that are not members of themselves" was self-contradictory. One such contradictory entity within mathematics endangered the self-consistency of all mathematics, so that Russell came to the conclusion that all such paradoxical statements had to be ruled out. He devised a hierarchical "theory of types" in which the legitimate members of a set at one level all belong to the level just below. 

Read More

machinic phylum

in , , , ,

"In order to adequately understand their apparently idiosyncratic contributions... riddled with jargon and with a mysteriously ineffable systematicity..." (E. Grosz)

Describing the development of weapons such as the saber or the sword, Deleuze and Guattari relate how metallurgy follows variations in materials and their qualities (spatio-temporal haecceities) and transforms them into features (traits of expression) such as hardness, sharpness and finish.

"We may speak of a machinic phylum or technological lineage, wherever we find a constellation of singularities , prolongable by certain operations, which converge, and make the operations converge, upon one or several assignable traits of expresssion" ..."Each phylum has its own singularities and operations...which determine the relation of desire to the technical element."...

"We will call an assemblage every constellation of singularities and traits deducted from the flow of matter-movement. The assemblages cut the phylum up into distinct, differentiated lineages, at the same time as the machinic phylum cuts accross them all." (Thousand Plateaus, p. 406) Examples of these assemblages include the nomads' invention of the man-horse-bow assemblage.

"The machinic phylum is materiality, natural or artificial, and both simultaneously; it is matter in movement, in flux, in variation, matter as a conveyor of singularities and traits of expression...This matter flow can only be followed. The artisan is one who is determined to follow a flow of matter as pure productivity. The artisan is the itinerant, the ambulant. His work is a legwork. To follow the flow of matter...is intuition in action." (p.409) (this is neither nomadic nor sedentary, but in contact with both) -- minor science.

"Why is the machinic phylum, the flow of matter, essentially metallic, or metallurgical?" (p 410) "Metallurgy is the consciousness or thought of the matter-flow...The machinic phylum is metallurgical, or at least has a metallic head, as its itinerant probe-head or guidance device." In this respect, Deleuze and Guattari follow the trope established by the Futurists and followed by the architectural avant-garde, that described engineers as noble savages at the vanguard of technological innovation, "men of the people without culture or education," endowed with "the gift of mechanical prophecy, the flair for metals." (Marinetti, Le Futurisme, Quoted in Reyner Banham, A Concrete Atlantis, p.204)

According to Manuel de Landa, for Deleuze the machinic phylum is the overall set of self-organizing processes... in which a group of previously disconnected elements suddenly reaches a criticial point in which they begin to "cooperate" to form a higher entity. The notion of a machinic phylum blurs the distinction between organic and non-organic life. Phenomena of self-organization occur whenever a bifurcation takes place in phase space: when a new attractor appears or when the system's attractors mutate in kind.

According to de Landa, Deleuze realized the philosophical implications of trajectories, attractors, and bifurcations in phase space . He emphasized the ontological difference between "actual physical systems" (represented by trajectories in phases space), and "virtual physical systems" represented by attractors and repellors. Although he did not mention bifurcations by name, he explored the idea that special events could produce "an emission of singularities", that is, the sudden creation of a set of attractors and repellors. Thus in addition to "actual machines", there are two layers of "virtual machines" . The world of attractors (the first layer) defines the long-term tendencies of reality. The world of bifurcations modifies those tendencies and represents the source of creativity and variability in nature. (see de Landa p. 236 and Deleuze Logic of Sense)

Mandlebrot set

in ,
Mandlebrot set

The Mandlebrot set has been described as the "most complicated object in the world." The figure represents the boundary of the domain of attraction of the behaviour of a simple equation in the complex plane. It is not the domain of attraction of a single system but rather a map of a family of systems, based on a single criterion.

Read More