Abstract
That classical two-valued logic is ill-equipped to deal with reasoning involving vague concepts is quite evident now. One instance of the inadequacy lies in that the so-called Sorites and other paradoxes [Cargile, 1969; Dummett, 1978] emerge when classical rules of inference are applied to premises involving vague expressions. But vagueness is all-pervasive in natural language expressions and strangely, through such an inexact medium we communicate, reason and take decisions in everyday life.
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Chakraborty, M.K., Basu, S. (1999). Introducing Grade to Some Metalogical Notions. In: Dubois, D., Prade, H., Klement, E.P. (eds) Fuzzy Sets, Logics and Reasoning about Knowledge. Applied Logic Series, vol 15. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1652-9_6
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