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Conjunction-based Sorites: A Misguided Objection to Degree-Theoretic (Fuzzy) Solutions to Sorites Paradoxes

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Abstract

In 1987, Crispin Wright argued that degree-theoretic (fuzzy) solutions to the Sorites paradox fail because the solutions do not work when the paradox is restated using a conjunctive major premise. I show that Wright is incorrect: degree-theoretic solutions also work when the paradox is stated with a conjunctive major premise.

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References

  1. Łukasiewicz, J., & Tarski, A. (1930). Untersuchungen über den Aussagenkalkül. Comptes rendus des séances de la Société des Sciences et des Lettres de Varsovie, 23(iii), 39–50.

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  2. Hájek, P. (1998). Metamathematics of fuzzy logic. Boston: Kluwer Academic.

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Authors and Affiliations

  1. Emerita, Department of Computer Science, Smith College, Northampton, MA, USA

    Merrie Bergmann

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  1. Merrie Bergmann
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Correspondence to Merrie Bergmann.

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Bergmann, M. Conjunction-based Sorites: A Misguided Objection to Degree-Theoretic (Fuzzy) Solutions to Sorites Paradoxes. J Philos Logic 39, 1–4 (2010). https://doi.org/10.1007/s10992-009-9121-y

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  • DOI: https://doi.org/10.1007/s10992-009-9121-y

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