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Negation on the Australian Plan
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dc.contributor.author | Berto, Franz | |
dc.contributor.author | Restall, Greg | |
dc.date.accessioned | 2019-04-25T14:30:01Z | |
dc.date.available | 2019-04-25T14:30:01Z | |
dc.date.issued | 2019-04-22 | |
dc.identifier.citation | Berto , F & Restall , G 2019 , ' Negation on the Australian Plan ' , Journal of Philosophical Logic , vol. In press . https://doi.org/10.1007/s10992-019-09510-2 | en |
dc.identifier.issn | 0022-3611 | |
dc.identifier.other | PURE: 255899716 | |
dc.identifier.other | PURE UUID: 8baf3f03-179a-48a8-be16-22d2e351be38 | |
dc.identifier.other | ORCID: /0000-0003-3246-657X/work/56862300 | |
dc.identifier.other | Scopus: 85064830070 | |
dc.identifier.other | WOS: 000504323600006 | |
dc.identifier.uri | https://hdl.handle.net/10023/17589 | |
dc.description | GR's research is supported by the Australian Research Council Grant DP150103801. | en |
dc.description.abstract | We 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.iso | eng | |
dc.relation.ispartof | Journal of Philosophical Logic | en |
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.subject | Negation | en |
dc.subject | Compatibility semantics | en |
dc.subject | Kripke semantics | en |
dc.subject | Non-classical logics | en |
dc.subject | Many-valued logics | en |
dc.subject | Modal logics | en |
dc.subject | BC Logic | en |
dc.subject | T-NDAS | en |
dc.subject.lcc | BC | en |
dc.title | Negation on the Australian Plan | en |
dc.type | Journal article | en |
dc.description.version | Publisher PDF | en |
dc.contributor.institution | University of St Andrews. Philosophy | en |
dc.identifier.doi | https://doi.org/10.1007/s10992-019-09510-2 | |
dc.description.status | Peer reviewed | en |
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