To the discussion about the irreducibility procedural thinking to substantial

In a discussion about different types of rationality, the academician A.V. Smirnov formulated a hypothesis that explains the apodictic nature of procedural logic when it is irreducible to substantive logic. Different types of formal proofs are considered by him as elements of different epistemic chains based on different intuitions of subject-predicate gluing. This article is based on the introduction of universal categories of plot, scenario, and game, we propose a plot-play way of thinking that includes both logics, which is closer to perception of the process and description of reality, implying a substantial component as well. From this point of view, the same traditional problems of unity of mind, universalism, and intercultural understanding are considered; the concepts of communication, the definition of language were rethought; nine stereotypes of thinking were formulated, which create fundamental obstacles to mutual understanding and self-understanding.