Revistes Catalanes amb Accés Obert (RACO)

Wide sets, deep many-valuedness and sorites arguments

Carlos Pelta Resano


In this article I show how to obtain a powerful and truthful explanation
of the failure of sorites arguments combining an adaptation of the Wide Set
Theory formulated by Formato and Gerla and the concept of deep manyvaluedness
established by Marraud. It is shown that if the premises of a
sorites argument are conceived as a succession of indexed consequence operators
(where indices express the accuracy of the inferences) prefixing sentences,
the argument fails because the transitive property for the inclusion between
wide data sets is not always maintained.

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