Spatial Continuity and the Theory of Part and Whole: A Brentano Study
Abstract
The concepts of a spatially continuous substance, of spatial dimension and of spatial boundary are here "analyzed out" of the concepts of individual thing, of constituent and of coincidence. The analysis is based upon the theory of spatial coincidence that was developed by Brentano. Its presuppositions are essentially these: (1) if there are spatial objects of any kind, then there are continuous spatial substances. (2) such substances are possibly such that they are not constituents of any individual thing; and (3) they contain constituents (namely, boundaries) which are necessarily such that they are constituents of spatial substances.