A simple logic for comparisons and vagueness

Synthese 123 (2):263-278 (2000)

Abstract

This article provide an intuitive semantic account of a new logic for comparisons (CL), in which atomic statements are assigned both a classical truth-value and a “how much” value or extension in the range [0, 1]. The truth-value of each comparison is determined by the extensions of its component sentences; the truth-value of each atomic depends on whether its extension matches a separate standard for its predicate; everything else is computed classically. CL is less radical than Casari’s comparative logics, in that it does not allow for the formation of comparative statements out of truth-functional molecules. It is argued that CL provides a better analysis of predicate vagueness than classical logic, fuzzy logic or supervaluation theory.

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Author's Profile

Ted Everett
State University of New York at Geneseo

References found in this work

Vagueness.Timothy Williamson - 1994 - London and New York: Routledge.
Vagueness, Truth and Logic.Kit Fine - 1975 - Synthese 30 (3-4):265-300.
Vagueness.Timothy Williamson - 1997 - Philosophy and Phenomenological Research 57 (4):921-928.
Linguistics and Natural Logic.George Lakoff - 1970 - Synthese 22 (1-2):151 - 271.

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