ABSTRACT
The universal opinion among philosophers, ever since the time of Leibniz, is that a space composed of points is logically impossible. The absolute theory holds that there are true propositions in which spatial relations are asserted to hold timelessly between certain terms, which may be called spatial points; the relational theory holds that every true proposition asserting a spatial relation involves a time at which this relation holds between its terms, so that the simplest spatial propositions assert triangular relations of a time and two terms, which may be called material points. To reduce the relations of points to interactions, on the ground that interaction is the type of all relations, is to display a complete incapacity in the simplest problems of analysis. Points do not assign positions to each other, as though they were each other’s pew-openers: they eternally have the relations which they have, just like all other entities.
