Vagueness and domain restriction


Authors
Peter Pagin
Stockholm University
Abstract
This paper develops an idea of saving ordinary uses of vague predicates from the Sorites by means of domain restriction. A tolerance level for a predicate, along a dimension, is a difference with respect to which the predicate is semantically insensitive. A central gap for the predicate+dimension in a domain is a segment of an associated scale, larger than this difference, where no object in the domain has a measure, and such that the extension of the predicate has measures on one side of the gap and the anti-extension on the other. The domain restriction imposes a central gap.
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