An Epistemic Interpretation of Paraconsistent Weak Kleene Logic

Logic and Logical Philosophy:1 (forthcoming)
  Copy   BIBTEX

Abstract

This paper extends Fitting's epistemic interpretation of some Kleene logics, to also account for Paraconsistent Weak Kleene logic. To achieve this goal, a dualization of Fitting's "cut-down" operator is discussed, rendering a "track-down" operator later used to represent the idea that no consistent opinion can arise from a set including an inconsistent opinion. It is shown that, if some reasonable assumptions are made, the truth-functions of Paraconsistent Weak Kleene coincide with certain operations defined in this track-down fashion. Finally, further reflections on conjunction and disjunction in the weak Kleene logics accompany this paper, particularly concerning their relation with containment logics. These considerations motivate a special approach to defining sound and complete Gentzen-style sequent calculi for some of their four-valued generalizations.

Author's Profile

Damian Szmuc
Universidad de Buenos Aires (UBA)

Analytics

Added to PP
2018-08-16

Downloads
865 (#18,054)

6 months
165 (#23,275)

Historical graph of downloads since first upload
This graph includes both downloads from PhilArchive and clicks on external links on PhilPapers.
How can I increase my downloads?