Journal of Logic, Language and Information 29 (4):525-538 (2020)
| Abstract |
An algebraic semantics, based on factor algebras, for one-way and two-way implicative verbs is proposed. Implicative verbs denote elements of filters or of ideals generated by identity functions in factor algebras. This semantics explains in particular the problem of implicational equivalence raised by two-way implicative verbs, and shows that the negation necessary to establish the implicativity of these verbs is the negation which preserves the presuppositions of sentences with implicative verbs. In addition, it follows from the proposed semantics that any two implicative verbs denoting in the same algebra but belonging to different categories, are semantically related.
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| DOI | 10.1007/s10849-019-09310-6 |
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References found in this work BETA
Boolean Semantics for Natural Language.Edward L. Keenan & Leonard M. Faltz - 1987 - Studia Logica 46 (4):401-404.
The Implications of Managing.Rebekah Baglini & Itamar Francez - 2016 - Journal of Semantics 33 (3):541-560.
On Negatively Restricting Boolean Algebras.R. Zuber - 1997 - Bulletin of the Section of Logic 26 (1):50-54.
Citations of this work BETA
Properties of propositional attitude operators.R. Zuber - forthcoming - Linguistics and Philosophy:1-21.
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