by Biodun Iginla, BBC News, New York
In the case of linear segmentarity, we would say that each segment is underscored, rectified, and homogenized in its own right, but also in relation to the others. Not only does each have its own unit of measure, but there is an equivalence and translatability between units. The central eye has as its correlate a space through which it moves, but it itself remains invariant in relation to its movements.
In the case of linear segmentarity, we would say that each segment is underscored, rectified, and homogenized in its own right, but also in relation to the others. Not only does each have its own unit of measure, but there is an equivalence and translatability between units. The central eye has as its correlate a space through which it moves, but it itself remains invariant in relation to its movements.
With the Greek city-state and Cleisthenes' reform, a homogeneous and isotopic space appears that overcodes the lineal segments, at the same time as distinct focal points begin to resonate in a center acting as their common denominator.
Paul Virilio shows that after the Greek city-state, the Roman Empire imposes a geometrical or linear reason of State including a general outline of camps and fortifications, a universal art of "marking boundaries by lines," a laying-out of territories, a substitution of space for places and territorialities, and a transformation of the world into the city; in short, an increasingly rigid segmentarity.
The segments, once underscored or overcoded, seem to lose their ability to bud, they seem to lose their dynamic relation to segmentations-in-progress, or in the act of coming together or coming apart. If there exists a primitive "geometry" (a protogeometry), it is an operative geometry in which figures are never separable from the affectations befalling them, the lines of their becoming, the segments of their segmentation: there is "roundness," but no circle, "alignments," but no straight line, etc.
On the contrary, State geometry, or rather the bond between the State and geometry, manifests itself in the primacy of the theorem-element, which substitutes fixed or ideal essences for supple morphological formations, properties for affects, predetermined segments for segmentations-in-progress. Geometry and arithmetic take on the power of the scalpel. Private property implies a space that has been overcoded and gridded by surveying. Not only does each line have its segments, but the segments of one line correspond to those of another; for example, the wage regime establishes a correspondence between monetary segments, production segments, and consumable-goods segments.
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