Relevance. As the Сomplexity of the subject's dialogue and communication environment increases, the need to increase its connectivity increases as an evolutionary way to preserve conscious ability.Purpose. The identifying the nature of the relationship between linguistic and non-linguistic objects of the worlds of Human existence leads to the need to construct a third entity that determines their compatibility, and as a result, is the cause of the emergence of a new quality of reality. The objectives of the post-non-classical paradigm of science involves rethinking the spatial-temporal model of the world, the role of intersubjective communications and internal dialogue of the subject as conditions for the existence and evolution of a conscious form of life, as well as identifying the principles underlying these processes. The methodology of constructing a categorical apparatus that allows describing such conditions is based on the method of Ontosemiotic Modeling and Decomposition, which reflect the method of phenomenological reduction, ascent from the abstract to the concrete, as well as the logical-semiotic construction of the subject of research. This method avoids the paradoxical nature of categorical descriptions of non-linguistic entities.Results.The desired third entity can be presented in the context of the three categories of subjectivity proposed by the author: synchronism, intention and relativity.Conclusions. The category of describing the world: subjectivity, temporality, continuality, contingency, processality, emergence, dialogicity, contextuality and relations between them, within the framework of post-nonclassical rationality, reflect the need to adopt new principles, models and methodologies of communication and activity, identify information-semiotic laws and patterns of cognition management, as well as refinement and redefinition of the basic concepts of philosophy, such as "Subject", "Consciousness", "Cognition".
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