First-order swap structures semantics for some Logics of Formal Inconsistency

Download Edit this record How to cite View on PhilPapers
Abstract
The logics of formal inconsistency (LFIs, for short) are paraconsistent logics (that is, logics containing contradictory but non-trivial theories) having a consistency connective which allows to recover the ex falso quodlibet principle in a controlled way. The aim of this paper is considering a novel semantical approach to first-order LFIs based on Tarskian structures defined over swap structures, a special class of multialgebras. The proposed semantical framework generalizes previous aproaches to quantified LFIs presented in the literature. The case of QmbC, the simpler quantified LFI expanding classical logic, will be analyzed in detail. An axiomatic extension of QmbC called QLFI1o is also studied, which is equivalent to the quantified version of da Costa and D'Ottaviano 3-valued logic J3. The semantical structures for this logic turn out to be Tarkian structures based on twist structures. The expansion of QmbC and QLFI1o with a standard equality predicate is also considered.
PhilPapers/Archive ID
CONFSS
Revision history
Archival date: 2019-12-24
View upload history
References found in this work BETA
Paraconsistent Logic: Consistency, Contradiction and Negation.Carnielli, Walter & Coniglio, Marcelo Esteban

View all 16 references / Add more references

Citations of this work BETA

Add more citations

Added to PP index
2019-12-24

Total views
58 ( #40,389 of 50,103 )

Recent downloads (6 months)
33 ( #19,127 of 50,103 )

How can I increase my downloads?

Downloads since first upload
This graph includes both downloads from PhilArchive and clicks to external links.