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We consider application of Zadeh's impossibility princi- ple and extended logic FLe to approximate scientific explanation from the standpoint of the philosophy of science. First, traditional explanation models are sketched. Second, Zadeh's principle is consi- dered in the broader context which includes reasoning and theory formation. Third, application ideas for using the impossibility prin- ciple to approximate explanation are provided. We focus on the role of approximate reasoning, approximate hypothesis assessment and approximate probability in explanation. It seems that approximate explanation can be usable when imprecise entities are involved in the
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