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- Cantwell, John
(author)
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The Logic of Conditional Negation
- 2008
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In: Notre Dame Journal of Formal Logic. - : Duke University Press. - 0029-4527 .- 1939-0726. ; 49:3, s. 245-260
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Journal article (peer-reviewed)abstract
- 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).
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