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Theoria. Revista de Teoría, Historia y Fundamentos de la Ciencia

Volume 1, Issue 1, 1985

Lorenzo Peña
Pages 159-175

Agregados, sistemas y euerpos
un enfoque difuso-conjuntual

A Fuzzy-Set Theoretical Framework -resting on a paraconsistent infinite-valued logic- is sketched, wherein a thorough ontological-reduction program can be carried out. The framework includes formulae of the form “x comprises z in the time-interval e”. Reducing aggregates to sets thus handled is shown to escape usual objections. Likewise, systems generally can be regarded as aggregates, hence as (fuzzy) sets -the purported nonextensionality of systems objection being disposed of owing to our system’s recognizing infinitely many membership degrees. So do bodies, too, which enables us to find a solution to Unger’s sorites concerning ordinary material bodies.