We prove two (strong) undefinability results for logics based on inquisitive semantics (or its variant, team semantics). Namely: 1) we show the undefinability of intuitionistic implication in extended propositional inquisitive logic with tensor; 2) we show the undefinability of global disjunction in extended propositional dependence logic.
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Fausto Barbero (2024) studied this question.
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