Agregados, sistemas y cuerpos:
Un enfoque difuso-conjuntual
Lorenzo Peña

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Theoria, 1
San Sebastián: 1985, pp. 159-75
ISSN 0495-4548

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Abstract 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.

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