David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Review of Symbolic Logic (forthcoming)
Timothy Williamson has shown that the B axiom for 'definitely' (α → Δ¬Δ¬α) guarantees that if a sentence is second-order vague in a Kripke model, it is nth order vague for every n. More recently, Anna Mahtani has argued that Williamson's epistemicist theory of vagueness does not support the B axiom, and conjectured that if we consider models in which the “radius of accessibility” varies between different points, we will be able to find sentences that are nth-order vague but (n+1)th-order precise, for any n. This paper bolsters Mahtani's argument, shows her conjecture to be true, and shows that imposing certain further natural constraints on "variable radius" models does not change the situation.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Susanne Bobzien (2010). Higher-Order Vagueness, Radical Unclarity, and Absolute Agnosticism. Philosophers' Imprint 10 (10):1-30.
Susanne Bobzien (2012). If It's Clear, Then It's Clear That It's Clear, or is It? Higher-Order Vagueness and the S4 Axiom. In B. Morison K. Ierodiakonou (ed.), Episteme, etc. OUP UK.
Michael Tye (1994). Why the Vague Need Not Be Higher-Order Vague. Mind 103 (409):43-45.
Crispin Wright (2009). The Illusion of Higher-Order Vagueness. In Richard Dietz & Sebastiano Moruzzi (eds.), Cuts and Clouds. Vaguenesss, its Nature and its Logic. Oxford University Press.
Diana Raffman (2009). Demoting Higher-Order Vagueness. In Sebastiano Moruzzi & Richard Dietz (eds.), Cuts and Clouds. Vaguenesss, its Nature and its Logic. Oxford University Press. 509--22.
Susanne Bobzien (2011). In Defense of True Higher-Order Vagueness. Synthese 180 (3):317-335.
Timothy Williamson (1999). On the Structure of Higher-Order Vagueness. Mind 108 (429):127-143.
Anna Mahtani (2008). Can Vagueness Cut Out at Any Order? Australasian Journal of Philosophy 86 (3):499 – 508.
Added to index2009-10-06
Total downloads119 ( #8,441 of 1,102,445 )
Recent downloads (6 months)61 ( #1,038 of 1,102,445 )
How can I increase my downloads?