Abstract
This paper defines and analyses the concept of a ‘ranking problem’. In a ranking problem, a set of objects, each of which possesses some common property P to some degree, are ranked by P-ness. I argue that every eligible answer to a ranking problem can be expressed as a complete and transitive ‘is at least as P as’ relation. Vagueness is expressed as a multiplicity of eligible rankings. Incommensurability, properly understood, is the absence of a common property P. Trying to analyse incommensurability in the same framework as ranking problems causes unnecessary confusion.
Original language | English |
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Pages (from-to) | 95-113 |
Number of pages | 19 |
Journal | Proceedings Of The Aristotelian Society (Paperback) |
Volume | Supplementary 83 |
Issue number | 1 |
DOIs | |
Publication status | Published - Jun 2009 |