Friday, March 4, 2011

Radiality, Directionality, Geometry

In the Radial concept of Experience, i. e. what has been previously referred to as the 'heliocentric' model, a dimension more fundamental than length, width, and depth is direction. Directionality refers to the here-there contrast, a dimension common to each of those three, e. g. up, to one side, and ahead, is each a 'there' with respect to a 'here' from which it is oriented. Furthermore, directionality is not restricted to those three planes. Hence, Polar Geometry has greater fidelity to fundamental Experience than does three-dimensional Euclidean Geometry. For sure, the vector Polar Coordinate quantifies direction, and the derivation of an angular coordinate involves compound quantificational operations, plus angularity is restricted to two-dimensional application. Still, the priority of Polar Geometry with respect to Euclidean Geometry is expressed by the orthogonality of the latter being a special case of the omni-angularity of the former.

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