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Purpose: The purpose of this article is to propose, based on a model of an interaction semantics, a certain understanding of the ''meaning'' of the exchanged characters within an interaction. Methodology: Based on a model of system interaction, I structure the model of interaction semantics similar to the semantics of a formal language: first, I identify adequate variables in my interaction model to assign values to, and second, I identify the interpretation function to provide meaning. Thereby I arrive at a model of interaction semantics which, in the sense of the late Ludwig Wittgenstein, can do without a 'mental' mapping from characters to concepts. Findings: The key findings are a better understanding of the tight relation between the informatical approach to model interactions and game theory; of the central 'chicken and egg' problem, any natural language has to solve, namely that to interact sensibly, we have to understand each other and to acquire a common understanding, we have to interact with each other, which I call the 'simultaneous interaction and understanding (SIAU)' problem; why ontologies are less 'semantic' then their proponents suggest; and how 'semantic' interoperability is to be achieved. Value: The main value of the proposed model of interaction semantics is that it could be applied in many different disciplines and therefore could serve as a basis for scientists of natural sciences and humanities as well as engineers to understand each other more easily talking about semantics, especially with the advent of cyber-physical systems.