David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Mind 108 (429):127-143 (1999)
Discussions of higher-order vagueness rarely define what it is for a term to have nth-order vagueness for n>2. This paper provides a rigorous definition in a framework analogous to possible worlds semantics; it is neutral between epistemic and supervaluationist accounts of vagueness. The definition is shown to have various desirable properties. But under natural assumptions it is also shown that 2nd-order vagueness implies vagueness of all orders, and that a conjunction can have 2nd-order vagueness even if its conjuncts do not. Relations between the definition and other proposals are explored; reasons are given for preferring the present proposal.
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Citations of this work BETA
Susanne Bobzien (2015). I—Columnar Higher‐Order Vagueness, or Vagueness is Higher‐Order Vagueness. Aristotelian Society Supplementary Volume 89 (1):61-87.
Timothy Williamson (2014). Very Improbable Knowing. Erkenntnis 79 (5):971-999.
Pablo Cobreros (2013). Vagueness: Subvaluationism. Philosophy Compass 8 (5):472-485.
Susanne Bobzien (2013). Higher-Order Vagueness and Borderline Nestings: A Persistent Confusion. Analytic Philosophy 54 (1):1-43.
Pablo Cobreros (2011). Varzi on Supervaluationism and Logical Consequence. Mind 120 (479):833-43.
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