Vagueness, Truth and Logic
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Ten claims about fuzzy logic
3. Distinguish between fuzziness as impreciseness (vagueness) and uncertainty as beliefs. The former deals with degrees of truth, the latter with degrees of (un) certainty. The main reason consists in the following: FL may be (and mostly is) truthfunctional; logics of belief are not. FL is a many-valued logic, logic of belief is a kind of modal logic. Caution: non-truth functional FLn is also p...
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Problems of conceptual uncertainty have been dealt with in theories of formal logic. Such theories try to accommodate vagueness in two main ways. One is fuzzy logic that introduces degrees of truth. The other way of accommodating formal logic to vagueness is super valuations and its descendants. This paper studies a more inclusive class of reasoning support than formal logic. In the present app...
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Fuzzy Description Logics are a family of logics which allow to deal with structured knowledge affected by vagueness. Although a relatively important amount of work has been carried out in the last years, current fuzzy DLs are open to be extend with several features worked out in the fuzzy logic literature. In this work, we extend fuzzy DLs with fuzzy truth values, allowing to state sentences su...
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Restricted quanti cation poses a serious and under-appreciated challenge for non-classical approaches to both vagueness and the semantic paradoxes. It is tempting to explain All A are B as For all x, if x is A then x is B ; but in the non-classical logics typically used in dealing with vagueness and the semantic paradoxes (even those where 'if ... then' is a special conditional not de nable in ...
متن کامل: Vagueness and Degrees of Truth
Vagueness is one of the most persistent and challenging topics in the intersection of philosophy and logic. At least five other noteworthy books on vagueness have been written by philosophers since 1991 [2, 6, 11, 12, 15]. A (necessarily incomplete) bibliography that has been compiled for the Arché project Vagueness: its Nature and Logic (2004-2006) of the University of St Andrews lists more th...
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In this paper we compare the expressive power of elementary representation formats for vague, incomplete or conflicting information. These include Boolean valuation pairs introduced by Lawry and Gonzalez-Rodriguez, orthopairs of sets of variables, Boolean possibility and necessity measures, three-valued valuations, supervaluations. We make explicit their connections with strong Kleene logic and...
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