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dc.contributor.authorBerto, Franz
dc.contributor.authorRestall, Greg
dc.date.accessioned2019-04-25T14:30:01Z
dc.date.available2019-04-25T14:30:01Z
dc.date.issued2019-04-22
dc.identifier.citationBerto , F & Restall , G 2019 , ' Negation on the Australian Plan ' , Journal of Philosophical Logic , vol. In press . https://doi.org/10.1007/s10992-019-09510-2en
dc.identifier.issn0022-3611
dc.identifier.otherPURE: 255899716
dc.identifier.otherPURE UUID: 8baf3f03-179a-48a8-be16-22d2e351be38
dc.identifier.otherORCID: /0000-0003-3246-657X/work/56862300
dc.identifier.otherScopus: 85064830070
dc.identifier.otherWOS: 000504323600006
dc.identifier.urihttp://hdl.handle.net/10023/17589
dc.descriptionGR's research is supported by the Australian Research Council Grant DP150103801.en
dc.description.abstractWe present and defend the Australian Plan semantics for negation. This is a comprehensive account, suitable for a variety of different logics. It is based on two ideas. The first is that negation is an exclusion-expressing device: we utter negations to express incompatibilities. The second is that, because incompatibility is modal, negation is a modal operator as well. It can, then, be modelled as a quantifier over points in frames, restricted by accessibility relations representing compatibilities and incompatibilities between such points. We defuse a number of objections to this Plan, raised by supporters of the American Plan for negation, in which negation is handled via a many-valued semantics. We show that the Australian Plan has substantial advantages over the American Plan.
dc.language.isoeng
dc.relation.ispartofJournal of Philosophical Logicen
dc.rights© The Author(s) 2019. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.en
dc.subjectNegationen
dc.subjectCompatibility semanticsen
dc.subjectKripke semanticsen
dc.subjectNon-classical logicsen
dc.subjectMany-valued logicsen
dc.subjectModal logicsen
dc.subjectBC Logicen
dc.subjectT-NDASen
dc.subject.lccBCen
dc.titleNegation on the Australian Planen
dc.typeJournal articleen
dc.description.versionPublisher PDFen
dc.contributor.institutionUniversity of St Andrews.Philosophyen
dc.identifier.doihttps://doi.org/10.1007/s10992-019-09510-2
dc.description.statusPeer revieweden


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