Weak negation in inquisitive semantics

0447718 - FLÚ 2016 RIV NL eng J - Journal Article
Punčochář, Vít
Weak negation in inquisitive semantics.
Journal of Logic, Language, and Information. Roč. 24, č. 3 (2015), s. 323-355. ISSN 0925-8531. E-ISSN 1572-9583
R&D Projects: GA ČR(CZ) GA13-21076S
Institutional support: RVO:67985955
Keywords : inquisitive semantics * negation * possible worlds * Fitch-style natural deduction * denial
Subject RIV: AA - Philosophy ; Religion
Impact factor: 0.450, year: 2015
http://link.springer.com/article/10.1007%2Fs10849-015-9219-2

This paper introduces and explores a conservative extension of inquisitive logic. In particular, weak negation is added to the standard propositional language of inquisitive semantics, and it is shown that, although we lose some general semantic properties of the original framework, such an enrichment enables us to model some previously inexpressible speech acts such as weak denial and 'might'-assertions. As a result, a new modal logic emerges. For this logic, a Fitch-style system of natural deduction is formulated. The main result of this paper is a theorem establishing the completeness of the system with respect to inquisitive semantics with weak negation. At the conclusion of the paper, the possibility of extending the framework to the level of first order logic is briefly discussed.
Permanent Link: http://hdl.handle.net/11104/0249484