Negation and contradiction (Q2715519)

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scientific article; zbMATH DE number 1607950
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Negation and contradiction
scientific article; zbMATH DE number 1607950

    Statements

    23 November 2001
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    negation
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    contradiction
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    inconsistency
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    incoherence
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    resolving conflicting information
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    Negation and contradiction (English)
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    In the paper the relationship between negation and contradiction is explored. Since classical negation and contradiction are interdefinable and too general for the purpose of reasoning about contradictory information, the authors introduce the notions of graded negation and toleration. This makes it possible to express such statements as: ``If \(\gamma\) holds, then \(\alpha\) negates \(\beta\)''. Among possible applications of the proposed formalism are resolving conflicts and handling inconsistent information in negotiation, learning, or merging multiple opinions.NEWLINENEWLINEFor the entire collection see [Zbl 0957.00012].
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