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.
Conceptualizations are labeled entities that are situated in this space. Through a mechanism, called topic focus, these labeled elements can be selectively interconnected into a restricted arrangement, called topic domain . Topic domains are thus describable in terms of geometric figures or algebraic matrices. Topics, like geometric figures, are formal relationships among situated labeled elements, which themselves are abstract conceptualizations. Yet, through these symbolic entities and their relationships we derive such practical, concrete, actual benefits as a novel, a poem, a prayer, an intellectual production, and instructions that inform, warn, confuse, and clarify.