Can vagueness cut out at any order?

Australasian Journal of Philosophy 86 (3):499 – 508 (2008)
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Abstract

Could a sentence be, say, 3rd order vague, but 4th order precise? In Williamson 1999 we find an argument that seems to show that this is impossible: every sentence is either 1st order precise, 2nd order precise, or infinitely vague. The argument for this claim is unpersuasive, however, and this paper explains why.

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10.1080/00048400802001954

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Anna Mahtani
London School of Economics

Citations of this work

Very Improbable Knowing.Timothy Williamson - 2014 - Erkenntnis 79 (5):971-999.
Supervaluationism and good reasoning.Timothy Williamson - 2018 - Theoria: Revista de Teoría, Historia y Fundamentos de la Ciencia 33 (3):521-537.
How vagueness could cut out at any order.Cian Dorr - 2015 - Review of Symbolic Logic 8 (1):1-10.
VIII—Vagueness at Every Order.Andrew Bacon - 2020 - Proceedings of the Aristotelian Society 120 (2):165-201.
II—Modelling Higher-Order Vagueness: Columns, Borderlines and Boundaries.Rosanna Keefe - 2015 - Aristotelian Society Supplementary Volume 89 (1):89-108.

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