A Relevant Logic of Questions

This paper introduces the inquisitive extension of R , denoted as I n q R , which is a relevant logic of questions based on the logic R as the background logic of declaratives. A semantics for I n q R is developed, and it is shown that this semantics is, in a precisely defined sense, dual to Routley...

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Bibliographic Details
Published in:Journal of philosophical logic 2020-10, Vol.49 (5), p.905-939
Main Author: Punčochář, Vít
Format: Article
Language:English
Subjects:
Education
Logic
Philosophy
Semantics
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Summary:This paper introduces the inquisitive extension of R , denoted as I n q R , which is a relevant logic of questions based on the logic R as the background logic of declaratives. A semantics for I n q R is developed, and it is shown that this semantics is, in a precisely defined sense, dual to Routley-Meyer semantics for R . Moreover, I n q R is axiomatized and completeness of the axiomatic system is established. The philosophical interpretation of the duality between Routley-Meyer semantics and the semantics for I n q R is also discussed.
ISSN:0022-3611
1573-0433
DOI:10.1007/s10992-019-09541-9