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      Motivation for a New Semantics for Vagueness

      proceedings-article

      2nd Irish Workshop on Formal Methods (FM)

      Irish Workshop on Formal Methods

      2-3 July 1998

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            Abstract

            Vagueness is the phenomenon that natural language predicates have borderline regions of applicability and that the boundaries of the borderline region are not determinable. A theory is presented which argues that vagueness is due to the fact that we are computationally bound by Church’s Thesis. Syntactic and semantic models motivated by the theory are introduced. Each disallows the use of classical negation, capturing the fact that it is generally only possible to semidecide but not decide our interpretations of natural language predicates. The role of negation is filled, for each predicate R , by the existence of a dual predicate nonR that acts as if it is the negation, although its interpretation is generally, at best, only an approximation to the complement of R. Multiple “levels” of vagueness are modeled using concepts from recursion theory.

            Content

            Author and article information

            Conference
            July 1998
            July 1998
            : 1-15
            Affiliations
            [0001]Department of Computer Science, University College Cork

            Cork, Ireland
            Article
            10.14236/ewic/FM1998.1
            b7782771-686e-411f-8613-0940517d163d
            © Mark A. Changizi. Published by BCS Learning and Development Ltd. 2nd Irish Workshop on Formal Methods, Cork, Ireland

            This work is licensed under a Creative Commons Attribution 4.0 Unported License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

            2nd Irish Workshop on Formal Methods
            FM
            2
            Cork, Ireland
            2-3 July 1998
            Electronic Workshops in Computing (eWiC)
            Irish Workshop on Formal Methods
            Product
            Product Information: 1477-9358BCS Learning & Development
            Self URI (journal page): https://ewic.bcs.org/
            Categories
            Electronic Workshops in Computing

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