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The Problem of Artificial Precision in Theories of Vagueness : A Note on the Rôle of Maximal Consistency

Abstract

The problem of artificial precision is a major objection to any theory of vagueness based on real numbers as degrees of truth. Suppose you are willing to admit that, under sufficiently specified circumstances, a predication of \u201cis red\u201d receives a unique, exact number from the real unit interval [0, 1]. You should then be committed to explain what is it that determines that value, settling for instance that my coat is red to degree 0.322 rather than 0.321. In this note I revisit the problem in the important case of \u141ukasiewicz infinite-valued propositional logic that brings to the foreground the r\uf4le of maximally consistent theories. I argue that the problem of artificial precision, as commonly conceived of in the literature, actually conflates two distinct problems of a very different nature

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This paper was published in AIR Universita degli studi di Milano.

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