Monday, September 24, 2012

Space and Volume

As has been previously discussed, while Kant characterizes the interplay of the two fundamental forces, Attraction and Repulsion, e. g. a particle, as 'filling' a space, here that characterization is, alternatively, 'creating' a space.  So, there is no disagreement that the fundamental quantum of space is Volume, a fundamentality that is reflected neither in geometries in which a 'point' is the basic quantum, nor in anti-Atomistic ones, such as Whitehead's, in which a 'region', i. e. a surface, is basic.  Furthermore, the standard concept of spatial 'dimensionality' is constructed in terms of lines and angles, which are derived ultimately derived from points, in both those types of geometry.  Hence, Volume can be distinguished from the measure of Volume, the standard of which is a cubic unit, i. e. is derived from lines, and, thus, from points.

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