Imprecise Quantification

Proceedings of the Aristotelian Society 119 (3):357-367 (2019)
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Abstract

Following David Lewis, Ted Sider has famously argued that unrestricted first-order quantification cannot be vague. His argument was intended as a type of reductio: its strategy was to show that the mere hypothesis of unrestricted quantifier vagueness collapses into the claim that unrestricted quantification is precise. However, this short article considers two natural reconstructions of the argument, and shows that each can be resisted. The theme will be that each reconstruction of the argument involves assumptions which advocates of vague quantification have independent reason to reject.

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Alexander Roberts
Oxford University

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References found in this work

Four Dimensionalism: An Ontology of Persistence and Time.Theodore Sider - 2004 - Philosophy and Phenomenological Research 68 (3):642-647.
Vagueness, truth and logic.Kit Fine - 1975 - Synthese 30 (3-4):265-300.
Vagueness.Timothy Williamson - 1995 - British Journal for the Philosophy of Science 46 (4):589-601.
On the Plurality of Worlds.Allen Stairs - 1988 - Philosophy and Phenomenological Research 49 (2):333-352.
Theory change and the indeterminacy of reference.Hartry Field - 1973 - Journal of Philosophy 70 (14):462-481.

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