Negation on the Australian Plan

Journal of Philosophical Logic 48 (6):1119-1144 (2019)
Download Edit this record How to cite View on PhilPapers
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.
ISBN(s)
PhilPapers/Archive ID
BERNOT-10
Upload history
First archival date: 2018-09-18
Latest version: 2 (2019-04-27)
View other versions
Added to PP index
2018-09-18

Total views
462 ( #10,897 of 55,917 )

Recent downloads (6 months)
47 ( #16,340 of 55,917 )

How can I increase my downloads?

Downloads since first upload
This graph includes both downloads from PhilArchive and clicks on external links on PhilPapers.