Weak negation in inquisitive semantics

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985955%3A_____%2F15%3A00447718" target="_blank" >RIV/67985955:_____/15:00447718 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s10849-015-9219-2" target="_blank" >http://dx.doi.org/10.1007/s10849-015-9219-2</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10849-015-9219-2" target="_blank" >10.1007/s10849-015-9219-2</a>

Result language
angličtina
Original language name
Weak negation in inquisitive semantics
Original language description
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.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
AA - Philosophy and religion
OECD FORD branch
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Project
<a href="/en/project/GA13-21076S" target="_blank" >GA13-21076S: Foundations of logic in the light of new results of philosophy and science</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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