This article reviews the Triune Continuum Paradigm—a logically rigorous theoretical base for organization of conceptual frameworks that are used for system modeling in different contexts (e.g., in software development, in enterprise architecture, in the architecture of financial services, in jurisprudence, etc.). This paradigm is an important contribution to the system modeling domain, because currently none of the prevailing system modeling frameworks has a satisfactory formal theoretical foundation.
Three Principles Of The Triune Continuum Paradigm
The Triune Continuum Paradigm is composed of three principles.
The first principle is the result of application of Tarski’s Theory of Truth (Tarski, 1956) for the case of general system modeling. This application allows defining coherent semantics for the concepts of a modeling framework. This is done by constructing formal descriptions for the relations between the subjects that are interesting to be modeled on one side, and the concepts that have to represent these subjects in the models on the other side. This principle is necessary to assure the coherency and unambiguity within modeling interpretations performed using a single system modeling framework.
Key Terms in this Chapter
Theory of Triune Continuum: A modeling theory proposed by Andrey Naumenko. The theory introduces three continuums (spatiotemporal, constitution, and information continuums) to justify a minimal set of modeling concepts that are formally necessary and sufficient to cover the representation scope of different modeling contexts on the most abstract level.
Unified Modeling Language (UML): Proposed by the Object Management Group (OMG) for system modeling in the domains of software systems, of business systems, and others.