Negation on the Australian Plan

Franz Berto, Greg Restall

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)

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

Keywords

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

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