An alternative approach for quasi-truth

نویسندگان

  • Marcelo E. Coniglio
  • Luiz Henrique Da Cruz Silvestrini
چکیده

In 1986, I. Mikenberg, N. da Costa and R. Chuaqui introduced the semantic notion of quasi-truth defined by means of partial structures. In such structures, the predicates are seen as triples of pairwise disjoint sets: the set of tuples which satisfies, does not satisfy and can satisfy or not the predicate, respectively. The syntactical counterpart of the logic of partial truth is a rather complicated first-order modal logic. In the present paper, the notion of predicates-as-triples is recursively extended, in a natural way, to any complex formula of the first-order object language. From this, a new definition of quasi-truth is obtained. The proof-theoretic counterpart of the new semantics is a first-order paraconsistent logic whose propositional base is a 3-valued logic belonging to hierarchy of paraconsistent logics known as Logics of Formal Inconsistency, which was proposed by W. Carnielli and J. Marcos in 2001.

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عنوان ژورنال:
  • Logic Journal of the IGPL

دوره 22  شماره 

صفحات  -

تاریخ انتشار 2014