ABSTRACT
In the present work I introduce a semantics based on the cognitive attitudes of acceptation and rejection entertained by a given society of agents for logics inspired on Dunn and Belnap’s ‘First Degree Entailment’ (E). Distinctly from the original epistemic situation of E, the cognitive attitudes do not coincide with truth-values and it seems more suitable for logics that intend to consider the informational content of propositions “said to be true” as well as propositions “said to be false” as determinants of the notion of logical validity. After analyzing some logics associated with the proposed semantics, we introduce the logic E B , whose underlying semantic entailment relation - the B-entailment - is able to express several kinds of reasoning towards the cognitive attitudes of acceptance and rejection. Acorrect and complete sequent calculus for E B is also presented.
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