О соотношении импликативной и денотативной релевантности

Философия. Журнал Высшей школы экономики. 2026. Т. 10. № 1. С. 335–369.

Moiseeva A., Smirnov M.

The article demonstrates philosophical and formal interconnection of the two key ideas in modern logic and semantics: implicative relevance (the requirement of a content-level connection between the antecedent and consequent of an implicative sentence, put forward in the context of relevant logics) and denotative relevance (the principle of accurate correspondence between a sentence and the situation which it designates, held in situational semantics). The theses proposed in the work are based on analysis of informal motivation for development of relevance logics and situation semantics, as well as logico-philosophical aspects of formalised systems in this sphere. The key conclusion is that the implementation of denotative relevance at the level of object language inevitably relies on postulates that essentially implement implicative relevance at the metalanguage. There is a two-way reducibility between these types of relevance: implicative relevance can be reduced to denotative relevance (as has been demonstrated previously by M. Jago), and denotative relevance can be reduced to implicative relevance. The present article provides a formal justification for the second reducibility.

Keywords: situation semantics, relevant implication, релевантная импликация, denotative relevance, implicative relevance, денотативная релевантность, импликативная релевантность, ситуационные семантики

Publication based on the results of: Linguistic and cognitive diversity in formal models, computer tools, and educational resources (2025)