Saturday, April 16, 2011

Sixteenth Series of Static Ontological Genesis

Deleuze's geophilosophy is a "surface topology". (109) Hence, we can use topology to construct and deconstruct the structure of the event. If we take one singularity, one knot, one red dot in the Pascal diagram, and spread it out over a "line of ordinary points," we get the labyrinth, the pulsed string, vibrating like a wave at a frequency in tune with its number. The singularity takes this shape of extension over an "ordinary" line in the actualization of the event. (110)

"A world already envelops an infinite system of singularities selected through convergence." (109) This idea of convergence is important to Deleuze. Elsewhere, he writes on hylomorphism. The preindividual transcendental field of singularities is self-organizing. This is how a shape or structure takes its shape, its form, "to be incarnated in a body; to become the state of the body." (110) Deleuze says, "An individual is always in a world as a circle of convergence." (110) To be a circle implies that the circle is the result of an event, a convergence that results not in a knot, or some other kind of shape, but in a circle. I visualize two series coming together, two Pascal triangles, the tips of which are interlocking in some kind of dragon-chasing-its-tail kind of shape, a yin-yang whose sum total is something like a circle, which also represents the GCD of the two series. The two Pascal triangles intersect and produce a new gyre, and because it has been lifted up into another dimension, we see the cross-section -- the circle. The circle is the stable shape of this event, and as such associated with the individual. Hegel also diagrammed the world as a series of interlocking concentric circles. Different theory, similar diagram.

If you can imagine the Pascal triangle as a 3-D gyre, when the event occurs, the potential energy in the system "falls to its lowest level" -- gets pulled to the tip of the triangle (like a tornado). (110) This idea of energy falling to its lowest level is similar to how we referenced the pachinko game earlier.

Deleuze wrote extensively on Leibniz, quoting him here that "each individual monad expresses the world." (110) Each monad would be like a singularity, and in discovering all the frequencies of that singularity (e.g. all the factors of a huge number), we gain a perspective on every other singularity. This is very similar to Borges' aleph, a point in space that reflects all the other points by which one can see everything in the universe.

Page 112: Deleuze distinguished between zones of clarity and obscurity in the singularity. In other works, this implies "consistency" and "inconsistency". Here, we can think in terms of sense and nonsense. Sense is the ability for the snowflake, crystalline form to incarnate an event. The nonsense is all the other unformed points (non-red dots).

Page 114: "Incompossible" worlds (e.g. a world in which Adam is a sinner and a world in which Adam is not a sinner; not a contradiction but a mutual exclusivity) imply that there must be an "ambiguous sign" or aleatory point constructing the difference between the two worlds. This aleatory point, or shifter, is the key, or machine by which the different actualizations are realized. In the case of Adam, the shifter would be something like, "to sin." Worlds are "overthrown from within by paradox", by this aleatory point or ambiguous sign, this moment of becoming and revolution. (117)

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