We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
BOCHVAR'S THREE-VALUED LOGIC AND LITERAL PARALOGICS: Their lattice and functional equivalence.
- Authors
Karpenko, Alexander; Tomova, Natalya
- Abstract
In the present paper, various features of the class of propositional literal paralogics are considered. Literal paralogics are logics in which the paraproperties such as paraconsistence, paracompleteness and paranormality, occur only at the level of literals; that is, formulas that are propositional letters or their iterated negations. We begin by analyzing Bochvar's three-valued nonsense logic B3, which includes two isomorphs of the propositional classical logic CPC. The combination of these two 'strong' isomorphs leads to the construction of two famous paralogics P¹ and I¹, which are functional ly equivalent. Moreover, each of these logics is functionally equivalent to the fragment of logic B3 consisting of external formulas only. In conclusion, we structure a four-element lattice of three-valued paralogics with respect to the possession of paraproperties.
- Subjects
TERNARY logic; PARALOGISM; EQUIVALENCE (Linguistics); ITERATIVE methods (Mathematics); PROPOSITIONAL calculus
- Publication
Logic & Logical Philosophy, 2017, Vol 26, Issue 2, p207
- ISSN
1425-3305
- Publication type
Article
- DOI
10.12775/LLP.2016.029