Vagueness and the sorites

Abstract

The principle of stability now says that if sentence ϕ is true/false in a model M, then ϕ has to stay true/false if M is getting more precise. Formally, let M = D, I be a refinement of M = D, I . Then it has to be the case that for all ϕ: (i) If VM(ϕ) = 1, then VM (ϕ) = 1. (ii) If VM(ϕ) = 0, then VM (ϕ) = 0.

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Penumbral connections in comparative constructions.Heather Burnett - 2014 - Journal of Applied Non-Classical Logics 24 (1-2):35-60.

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