Abstract
In the article, the inevitability of logical paradoxes and unsolvable incidents in justice is justified by the incompleteness of formal systems, including such as law and law. The conclusions are illustrated by references to biblical and literary stories, as well as real situations that arise in judicial activity. Elements of game theory and the Gries code of communication are proposed as methods for optimizing judicial decision-making in complex cases, and specific situations of their application are modeled. It is concluded that there is a special type of thinking that a judge should have, and conditions that can block or stimulate its manifestation
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