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The Logic of Conditional Negation
KTH, School of Architecture and the Built Environment (ABE), Philosophy and History of Technology, Philosophy.ORCID iD: 0000-0002-9934-3833
2008 (English)In: Notre Dame Journal of Formal Logic, ISSN 0029-4527, E-ISSN 1939-0726, Vol. 49, no 3, 245-260 p.Article in journal (Refereed) Published
Abstract [en]

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.
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Philosophy
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URN: urn:nbn:se:kth:diva-87470DOI: 10.1215/00294527-2008-010Scopus ID: 2-s2.0-72749097119OAI: oai:DiVA.org:kth-87470DiVA: diva2:501683
Note
QC 20120510Available from: 2012-02-14 Created: 2012-02-14 Last updated: 2017-12-07Bibliographically approved

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