Abstract
Abstract
This paper shows that the following common assumption is false: that in modal-logical representations of higher-order vagueness, for there to be borderline cases to borderline cases ad infinitum, the number of possible distinct modalities in a modal system must be infinite.
Reference15 articles.
1. Åkerman, Jonas and Greenough, Patrick. 2010. Hold the Context Fixed: Vagueness Still Remains. In Cuts and Clouds: Vagueness, its Nature, and its Logic. Edited by Dietz, Richard and Moruzzi, Sebastian. Oxford: Oxford University Press, 275-88.
2. Bobzien, Susanne. 2010. Higher-order Vagueness, Radical Unclarity, and Absolute Agnosticism. Philosophers’ Imprint 10: 1-30.
3. Bobzien, Susanne. 2012. If it’s Clear, then it’s Clear that it’s Clear, or is it?
4. Bobzien, Susanne Higher-order Vagueness and the S4 Axiom. In Episteme, etc. Edited by Katerina Ierodiakonou and Benjamin Morison. Oxford: Oxford University Press, 189-212.
5. Bobzien, Susanne. 2013. Higher-order Vagueness and Borderline Nestings — a Persistent Confusion. Analytic Philosophy 54: 1-43.