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Geometrical points are dimensionless.
The same goes for a set of two geometrical points: also two geometrical points together have no extension and hence have measure zero.
Therefore, since geometrical points are not extended in space, they fail to be 'real' spatial entities.
A representative example of a hypothetical plurality of necessarily indiscernible objects is a plurality of necessarily coincident geometrical points.
(21 All the (x, y) couples of geometrical points concerned by the saturation regime into the overlapping volume are defined by the surface (21).
For these reasons, the intelligibility of a plurality of necessarily coincident geometrical points is suspect; the same is true of the intelligibility of a plurality of necessarily indiscernible omnipotent God-like beings.
Similar(52)
When the undeformed surfaces of wheel and rail/roller, touching in the geometrical point of contact O which is determined from geometric contact analysis, are shifted towards each other by a distance δ, called the penetration, they penetrate and intersect on a closed line, whose projection on the x-y plane is called the interpenetration region.
Straight sections are defined in the geometrical point of view.
Now measure a geometrical point and answer the question: how long is the point?
In mathematical parlance: a set consisting of a geometrical point is a measure zero set.
The geometrical point spread function [PSF] of the different collimators was also accounted for.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com