Graduate studies at Western
In B. Morison K. Ierodiakonou (ed.), Episteme, etc. OUP UK (2012)
|Abstract||The purpose of this paper is to challenge some widespread assumptions about the role of the modal axiom S4 in a theory of vagueness. In the context of vagueness, S4 usually appears as the principle ‘If it is clear (determinate, definite) that A, then it is clear (determinate, definite) that it is clear (determinate, definite) that A’, or, more formally, CA → CCA. We show how in the debate over S4 two different notions of clarity are in play (Williamson-style "luminosity" or self-revealing clarity and concealeable clarity) and what their respective functions are in accounts of higher-order vagueness. On this basis, we argue first that, contrary to common opinion, higher-order vagueness and S4 are perfectly compatible. This is in response to claims like that by Williamson that, if vagueness is defined with the help of a clarity operator that obeys S4, higher-order vagueness disappears. Second, we argue that, contrary to common opinion, (i) bivalence-preservers (e.g. epistemicists) can without contradiction condone S4 (by adopting what elsewhere we call columnar higher-order vagueness), and (ii) bivalence-discarders (e.g. open-texture theorists, supervaluationists) can without contradiction reject S4. Third, we rebut a number of arguments that have been produced by opponents of S4, in particular those by Williamson. (The paper is pitched towards graduate students with basic knowledge of modal logic.)|
|Keywords||columnar higher-order vagueness higher-order vagueness modal logic s4 axiom kk principle epistemicism clarity definiteness williamson luminosity|
|Categories||categorize this paper)|
|Through your library||Configure|
Similar books and articles
Paul Égré & Denis Bonnay (2010). Vagueness, Uncertainty and Degrees of Clarity. Synthese 174 (1):47 - 78.
Mark Jago (2013). The Problem with Truthmaker‐Gap Epistemicism. Thought 1 (4):320-329.
Susanne Bobzien (2010). Higher-Order Vagueness, Radical Unclarity, and Absolute Agnosticism. Philosophers' Imprint 10 (10):1-30.
Susanne Bobzien (2013). Higher‐Order Vagueness and Borderline Nestings: A Persistent Confusion. Analytic Philosophy 54 (1):1-43.
Timothy Williamson (1999). On the Structure of Higher-Order Vagueness. Mind 108 (429):127-143.
Susanne Bobzien (2011). In Defense of True Higher-Order Vagueness. Synthese 180 (3):317-335.
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.
Susanne Bobzien (2002). Chrysippus and the Epistemic Theory of Vagueness. Proceedings of the Aristotelian Society 102 (1):217-238.
Patrick Greenough (2005). Contextualism About Vagueness and Higher-Order Vagueness. Aristotelian Society Supplementary Volume 79 (1):167–190.
David Enoch (2007). Epistemicism and Nihilism About Vagueness: What's the Difference? Philosophical Studies 133 (2):285 - 311.
Larry M. Jorgensen (2011). Russell’s Leibnizian Concept of Vagueness. History of Philosophy Quarterly 28 (3):289-301.
Added to index2011-04-10
Total downloads161 ( #2,914 of 751,826 )
Recent downloads (6 months)55 ( #959 of 751,826 )
How can I increase my downloads?