Wednesday, September 26, 2012

Volume and Capacity

There are two main ways that a repulsive force can be counteracted--by an attractive force acting on the same matter that is being repelled, or, by an external, e. g.  compressive force.  Hence, the quantum of space in which some matter exists can be either internally constituted, or, externally imposed.  Thus, the Kantian pure space, as given a priori to any matter that fills it a posteriori, is externally imposed on that matter.  Accordingly, a volume of matter can be determined either intrinsically or extrinsically.  So, to distinguish the former from the latter, 'Volume' can be contrasted with 'Capacity', respectively.  Now, the standard concept of spatial 'dimensionality' entails elements of pure space--points, lines, and angles, primarily.  Thus, the cubic meter, as representing three-'dimensionality', is a construction of pure space.  Hence, the cubic meter represents, more properly, Capacity, rather than Volume.

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