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dc.contributor.authorBerto, Franz
dc.contributor.authorRestall, Greg
dc.identifier.citationBerto , F & Restall , G 2019 , ' Negation on the Australian Plan ' , Journal of Philosophical Logic , vol. In press .
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.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.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 (, 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.subjectCompatibility semanticsen
dc.subjectKripke semanticsen
dc.subjectNon-classical logicsen
dc.subjectMany-valued logicsen
dc.subjectModal logicsen
dc.subjectBC Logicen
dc.titleNegation on the Australian Planen
dc.typeJournal articleen
dc.description.versionPublisher PDFen
dc.contributor.institutionUniversity of St Andrews.Philosophyen
dc.description.statusPeer revieweden

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