Journal of Philosophical Logic 33 (2):165-235 (2004)
|Abstract||This paper presents a new theory of vagueness, which is designed to retain the virtues of the fuzzy theory, while avoiding the problem of higher-order vagueness. The theory presented here accommodates the idea that for any statement S₁ to the effect that 'Bob is bald' is x true, for x in [0, 1], there should be a further statement S₂ which tells us how true S₁ is, and so on - that is, it accommodates higher-order vagueness without resorting to the claim that the metalanguage in which the semantics of vagueness is presented is itself vague, and without requiring us to abandon the idea that the logic - as opposed to the semantics - of vague discourse is classical. I model the extension of a vague predicate P as a blurry set, this being a function which assigns a degree of membership or degree function to each object o, where a degree function in turn assigns an element of [0, 1] to each finite sequence of elements of [0, 1]. The idea is that the assignment to the sequence (0.3, 0.2), for example, represents the degree to which it is true to say that it is 0.2 true that o is P to degree 0.3. The philosophical merits of my theory are discussed in detail, and the theory is compared with other extensions and generalisations of fuzzy logic in the literature|
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
|Through your library||Configure|
Similar books and articles
Elia Zardini (2013). Higher-Order Sorites Paradox. Journal of Philosophical Logic 42 (1):25-48.
Peter Verdée & Stephan der Waart van Gulivank (2008). A Generic Framework for Adaptive Vague Logics. Studia Logica 90 (3):385 - 405.
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.
Bertil RolF (1982). Russell's Theses on Vagueness. History and Philosophy of Logic 3 (1):69-83.
Pablo Cobreros (2010). Paraconsistent Vagueness: A Positive Argument. Synthese 183 (2):211-227.
Michael Tye (1994). Why the Vague Need Not Be Higher-Order Vague. Mind 103 (409):43-45.
Susanne Bobzien (2011). In Defense of True Higher-Order Vagueness. Synthese 180 (3):317-335.
Nicholas J. J. Smith (forthcoming). Fuzzy Logic and Higher-Order Vagueness. In Petr Cintula, Chris Fermüller, Lluis Godo & Petr Hájek (eds.), Logical Models of Reasoning with Vague Information.
Added to index2009-01-28
Total downloads27 ( #51,590 of 722,698 )
Recent downloads (6 months)1 ( #60,006 of 722,698 )
How can I increase my downloads?