Wednesday, March 2, 2011

Eighth Series of Structure

Deleuze citing Cosmos, by Witold Gombrowicz: "There are always too many signifying signs." (48) Great book, if you have the chance to read it.

Page 49: Revolution lies in the asignifying gap between series. It is unexpected and comes out of a blind spot. It perfectly reverses expectations and is only explainable in hindsight, retroactively.

Page 50: Deleuze recapitulates what he has previously said about series, excesses and lacks, and the object without a place, etc. He uses these criteria as a basis for a "structure". Later, in other books, these structures become "machines". Here, as in the Fourth Series, he implies derivatives, "differential calculus," as an orienting frame for the operation of sense.

If you can, imagine two series which are referenced by two numbers; their two distributions are the distribution of numbers evenly divisible by the reference number. When these two series converge, they create a greatest common divisor, which is the paradoxical element differentiating the two series. This is an example:

http://www.its.caltech.edu/~mamikon/PasFastC.html


If you type in a number, the Pascal's triangle highlights all the cells containing numbers evenly divisible by the that number. Intersect one triangle of one number with another, and you would get something like a greatest common divisor. Each highlighted point in each triangle is what Deleuze calls here a "singularity". A structure would be the intersection of two of these triangles.

Axiom: "There is no structure without series." (51)

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