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A general theory of conceptual systems (GCST) is developed, in which the concept of systems is introduced not a priori or theoretically, but by means of a rigorous procedure, supported by experimental knowledge of these or other system realization forms (so‐called “realization” and “trajectories”). This is the stage of an inductive construction of computable concepts, i.e. “concepts”. “Concept” is presented in the form of a function of discrete variables, one part of which is known (essential variables), while the other part is independent (non‐essential variables). The presence of “concept” allows one to construct new, not yet realized “trajectories”. This is the stage of the deductive conclusion. The general principles of GCST construction on the basis of an artificial intelligence program system are formulated. This approach excludes widespread methods of a priori construction of system theories (e.g. in the “theory of usefulness”, the “study of operations”).

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