David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Studia Logica 90 (3):385 - 405 (2008)
In this paper, we present a generic format for adaptive vague logics. Logics based on this format are able to (1) identify sentences as vague or non-vague in light of a given set of premises, and to (2) dynamically adjust the possible set of inferences in accordance with these identifications, i.e. sentences that are identified as vague allow only for the application of vague inference rules and sentences that are identified as non-vague also allow for the application of some extra set of classical logic rules. The generic format consists of a set of minimal criteria that must be satisfied by the vague logic in casu in order to be usable as a basis for an adaptive vague logic. The criteria focus on the way in which the logic deals with a special ⊡-operator. Depending on the kind of logic for vagueness that is used as a basis for the adaptive vague logic, this operator can be interpreted as completely true, definitely true, clearly true , etc. It is proven that a wide range of famous logics for vagueness satisfies these criteria when extended with a specific ⊡-operator, e.g. fuzzy basic logic and its well known extensions, cf. , super- and subvaluationist logics, cf. , , and clarity logic, cf. . Also a fuzzy logic is presented that can be used for an adaptive vague logic that can deal with higher-order vagueness. To illustrate the theory, some toy-examples of adaptive vague proofs are provided.
|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
Michael Tye (1994). Why the Vague Need Not Be Higher-Order Vague. Mind 103 (409):43-45.
Bart Van Kerkhove & Guido Vanackere (2003). Vagueness-Adaptive Logic: A Pragmatical Approach to Sorites Paradoxes. Studia Logica 75 (3):383-411.
Bart Van Kerkhove & Guido Vanackere (2003). Vagueness-Adaptive Logic: A Pragmatical Approach to Sorites Paradoxes. Studia Logica 75 (3):383 - 411.
Nicholas Smith (2005). A Plea for Things That Are Not Quite All There: Or, Is There a Problem About Vague Composition and Vague Existence? Journal of Philosophy 102 (8):381 - 421.
Stephan der Waart van Gulivank (2009). Adaptive Fuzzy Logics for Contextual Hedge Interpretation. Journal of Logic, Language and Information 18 (3).
Nicholas J. J. Smith (2004). Vagueness and Blurry Sets. Journal of Philosophical Logic 33 (2):165-235.
Diderik Batens (2007). A Universal Logic Approach to Adaptive Logics. Logica Universalis 1 (1):221-242.
Shunsuke Yatabe & Hiroyuki Inaoka (2006). On Evans's Vague Object From Set Theoretic Viewpoint. Journal of Philosophical Logic 35 (4):423 - 434.
Added to index2009-01-28
Total downloads8 ( #168,505 of 1,098,889 )
Recent downloads (6 months)3 ( #114,377 of 1,098,889 )
How can I increase my downloads?