Negation on the Australian Plan

Journal of Philosophical Logic 48 (6):1119-1144 (2019)
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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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BERNOT-10
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First archival date: 2018-09-18
Latest version: 2 (2019-04-27)
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References found in this work BETA
Making It Explicit.Levi, Isaac & Brandom, Robert B.
Logical Pluralism.Beall, Jc & Restall, Greg
A Theory of Conditionals.Stalnaker, Robert C.

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