Each of the five basic formal components will now be separately elaborated. A geometry is the specification of the properties of a space. In other words, it describes the possible location of elements within it and their possible paths or changes in location over time. Ethnosemantics is the specification of the interconnections that are possible between concepts, by reference to standardized procedures existing within a social group. In geometry, the simplest or most basic element is the point.
Geometries are abstract, symbolic universes or manifolds.
Figures are formal relationships among situated elements. Yet, through these formal, abstract, hypothesized, theoretical elements and relationships, we derive such practical, concrete, actual benefits that mathematics, physics, and engineering have reified in technology and civilization. Thus, practicality includes the abstract and the concrete. Reification, actuality, and reality are the functional products derived from the geometries. Ethnosemantic spaces are abstract, symbolic universes or manifolds.