Usó i Domènech, Josep Lluís, Nescolarde-Selva, Josué Antonio, Pérez Gonzaga, Sergio, Sabán, Mario Javier
Paraconsistent Multivalued Logic and Coincidentia Oppositorum: Evaluation with Complex Numbers
American Journal of Systems and Software. 2015, 3(1): 1-12. doi:10.12691/ajss-3-1-1
URI: http://hdl.handle.net/10045/43979
DOI: 10.12691/ajss-3-1-1
ISSN: 2372-708X (Print)
Abstract: 
Paraconsistent logic admits that the contradiction can be true. Let p be the truth values and P be a proposition. In paraconsistent logic the truth values of contradiction is . This equation has no real roots but admits complex roots . This is the result which leads to develop a multivalued logic to complex truth values. The sum of truth values being isomorphic to the vector of the plane, it is natural to relate the function V to the metric of the vector space R2. We will adopt as valuations the norms of vectors. The main objective of this paper is to establish a theory of truth-value evaluation for paraconsistent logics with the goal of using in analyzing ideological, mythical, religious and mystic belief systems.
Keywords:Belief systems, Circle of truth, Coincidentia oppositorum, Contradiction, Complex number, Denier, Logic coordinations, Paraconsistency, Propositions, Truth values
Science and Education Publishing
info:eu-repo/semantics/article