The Logic of Conditional Negation
2008 (English)In: Notre Dame Journal of Formal Logic, ISSN 0029-4527, Vol. 49, no 3, 245-260 p.Article in journal (Refereed) Published
It is argued that the "inner" negation ∼ familiar from 3-valued logic can be interpreted as a form of "conditional" negation: ∼A is read 'A is false if it has a truth value'. It is argued that this reading squares well with a particular 3-valued interpretation of a conditional that in the literature has been seen as a serious candidate for capturing the truth conditions of the natural language indicative conditional (e.g., "If Jim went to the party he had a good time"). It is shown that the logic induced by the semantics shares many familiar properties with classical negation, but is orthogonal to both intuitionistic and classical negation: it differs from both in validating the inference from A→∼B to ∼(A→B).
Place, publisher, year, edition, pages
2008. Vol. 49, no 3, 245-260 p.
IdentifiersURN: urn:nbn:se:kth:diva-87470DOI: 10.1215/00294527-2008-010ScopusID: 2-s2.0-72749097119OAI: oai:DiVA.org:kth-87470DiVA: diva2:501683
QC 201205102012-02-142012-02-142012-05-10Bibliographically approved