Theoretical preconditions of the modality problem research: to the analysis of the act of making and executing a judgment

The article is dedicated to summarizing the essential theoretical preconditions of modality problem research for substantiation of timely trends appealing to studies of the modal aspect of making and executing a judgment. The author points out that the cross-disciplinary nature of the problem supposes its integrative resolving, and submits the basic formulations for describing the modal relations in the context of making and executing a judgment act.