A collection of scientific papers prepared by the branch of evolutionary epistemology is devoted to the logical, rhetorical and cognitive aspects of argumentation, persuasion, communication and understanding. The focus of many authors is on logical methods of justification and argumentation, such as deduction, induction and abduction. Proposed new methods of introduction and use of concepts, question-and-answer procedures. From the standpoint of logical hermeneutics, the problem of the consistency of philosophical systems is discussed. The prerequisites for the emergence of the art of argumentation and the features of deviant rationality from a cognitive point of view are investigated. A collection of scientific papers is recommended for specialists in the theory of argumentation, methodology of science, logicians, as well as for teachers and students.