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Negation on the Australian Plan

Research output: Contribution to journalArticle

Author(s)

Franz Berto, Greg Restall

School/Research organisations

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.
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Details

Original languageEnglish
JournalJournal of Philosophical Logic
VolumeIn press
Early online date22 Apr 2019
DOIs
Publication statusE-pub ahead of print - 22 Apr 2019

    Research areas

  • Negation, Compatibility semantics, Kripke semantics, Non-classical logics, Many-valued logics, Modal logics

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ID: 255899716

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