Concepts, states, and systems

Abstract

Mathematical System Theory is extended to Conceptual System Theory using Formal Concept Analysis (Wille 1982). States are defined as formal concepts and ‘points of time’ are generalized to ‘time granules,’ interpreted as ‘pieces’ of time needed for the realization of measurements. As a generalization of classical time systems we define conceptual time systems, their state spaces and phase spaces. Time dependent relations among the parts of a conceptual time system are introduced in ‘relational conceptual time systems.’ Applications in psychology and industry, including ‘conceptual films’ are mentioned.