Sunday, August 25, 2013

Algebras, geometries and typologies of the fold

This source is quite relevant to recent posts: "Alegebras, geometries, and topologies of the fold: Deleuze, Derrida and quasi-mathematical thinking (with Leibniz and Mallarme)" by Arkady Plotnitsky. Quoting Deleuze on Heidegger, relevant to my earlier musings on clearly distinguishing the compliments, yet using the tension between them (boundary) to 'unite' them.

"The 'duplicity' of the fold has to be reproduced from the two sides that it distinguishes, but it relates one to the other by distinguishing them: a severing by which each term casts the other forwards, a tension by which each fold is pulled into the other"  (105).

Plotnitsky then quotes Deleuze on the change from Leibniz's monadology to his own nomadololgy. Of interest is the refutation of the 'dominant monad,' a key concept in kennilingus. Which relates to the type of mereology found in kennilingus (and the likes of the MHC) in favor of a more 'democratic' mereology found in Bryant, heavily influenced by Deleuze.

"To the degree that the world is now made up of divergent series (the chaosmos) [...] the monad is now unable to contain the entire world as if in a closed circle that can be modified by projection. It now opens on a trajectory or a spiral in expansion that moves further and further away from a center. A vertical harmonic can no longer be distinguished from a horizontal harmonic, just like the private condition of a dominant monad that produces its own accords in itself, and the public condition of monads in a crowd that follows the lines of melody. The two begin to fuse on a sort of diagonal, where the monads penetrate each other, and modified, inseparable from the groups of prehension that carry them along and make up as many transitory captures [...] do not allow the difference of inside and outside, or public and private, to survive" (105).

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