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Vagueness as a Modality
Authors:Ken Akiba
Institution:New York University
Abstract:I present a modal conception of vagueness and vague objects, according to which a vague object is a transworld object which coincides with one precise object in one world and with another precise object in another world. Such worlds are called precisifications; they are modal, worldly counterparts of the precisifications postulated in supervaluationism. I criticize Evans' argument against vague objects, admitting the validity of the argument, but rejecting its basic assumption that if there are vague objects, certain identity statements must be indefinite in truth value. I distinguish identity from coincidence, and claim that if there are vague objects, some statements of coincidence will be indefinite in truth-value, not statements of identity. To establish this point, I compare vagueness with temporal modality.
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