An alternative approach for quasi-truth

作者：Coniglio Marcelo Esteban^*; da Cruz Silvestrini Luiz Henrique

来源：Logic Journal of the IGPL, 2014, 22(2): 387-410.

DOI：10.1093/jigpal/jzt026

• Quasi-truth
• logics of formal inconsistency
• 3-valued paraconsistent logic
• first-order paraconsistent logic
• 3-valued model logic
• paraconsistent model theory

In 1986, Mikenberg et al. 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 article, 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 Carnielli and Marcos in 2002.

• 出版日期2014-4