ABSTRACT

G. W. Leibniz inferred that the ultimate constituents of things were unextended from the reasonable premises that every complex was made of simples and that everything extended was on that account complex. If the ultimate stuff of the world is conceived substantially, as composed of some sort of particles, it is very natural to run the idea of conservation together with that of eternal things. Every material thing has infinity of logically possible parts but it may have a finite number of actual parts. An extended thing is conceptually complex to the extent that it is logically possible to distinguish infinity of points within the region it occupies. The infinite extent of space can be invoked to support the infinite size of the material world that occupies it in the way that its infinite divisibility was used to establish the infinitely divisible.