Sunday, July 28, 2019
Line, Vector, Ordinality
In Geometry, a Vector signifies Direction from a point of origin. But Direction implies Motion. So, a Vector is often used to represent Motion. But, more immediately, it exemplifies Motion, i. e. the Motion by which a Line with an arrow affixed is drawn. Furthermore, all lines are drawn, and drawn from an origin to a terminal point. Thus, all lines are produced by directed motions. Hence, all lines are vectors, whether or not they are illustrated as such. Furthermore, the main elements of Pythagorean-Euclidean Geometry are constructed out of lines--planes and solids. Now, Direction connotes Order, i. e. the drawing of a Line is ordered from origin to terminus. Hence, just as Cardinal Numerology is derived from Ordinal Numerology, Pythagorean-Euclidean Geometry is derived from Ordinal Geometry, i. e. Vector Geometry. The possible priority of the latter is in front of Kant whenever he uses the drawing of a Line as an illustration, but he does not recognize it as such.
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