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Inclosures, vagueness, and self-reference. (English) Zbl 1198.03034
The author shows that the sorites-type paradoxes can be subsumed under the inclosure schema, discussed, e.g., in his [Beyond the limits of thought. Cambridge: Cambridge Univ. Press (1995; Zbl 0851.03001)], in a similar way as this is possible for the self-referential paradoxes of the liar type. Therefore these sorites-type paradoxes allow for a dialetheic solution, i.e. a solution in the context of paraconsistent logic. The basic ideas and the main technical details are clearly explained.
03B53Paraconsistent logics
03A05Philosophical and critical
03A10Logic in the philosophy of science
03B52Fuzzy logic; logic of vagueness
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