DIALOGUE AS A KNOT: THE FIRST IDEAS OF DIALOGUE ONTOLOGY
DIALOGUE AS A KNOT: THE FIRST IDEAS OF DIALOGUE ONTOLOGY

Summary/Abstract: The paper proposes an idea of explicating the invariant universal structure of dialoguethrough the mathematics of knots and braids, which is relevant, both for the developmentof particular models of communication and/or dialogue, and for constructinga general theory of dialogue, or the theory of utterances. The possibility of modelingdialogue with the help of the mathematics of braids and knots—categories, entities andtheir attributes—is shown by use of some well-known examples such as parts of thesentence in grammar. Entities and their attributes can be considered as knots, eitherright or false. The idea is to visualize the chains of these entities: to formalize them notto keep in mind, neither in the text, but to work with them graphically.Nodes, as final structures, and braids that generate them, allow to reveal paradigmaticanomies, conflicts, logical and ethical disagreements, etc., and vice versa: “synonimies,”mutual understanding, unanimity, in a fundamentally new format of perception andunderstanding of the context of genesis (braids) and results (knots) of dialogue.The visualization of verbal utterance on the basis of the knot and braid mathematicsis a significant step towards formalizing the theories of dialogue, both in general theoreticaland purely practical plans. The latter is analyzed by the example of the person’sinner dialogue with herself/himself in making decisions: rational and/or irrational (emotional),which allows conducting a specific work with clients of psychotherapy, coaching,management consulting, mediation, etc.

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