1Department of Applied Mathematics, University of Alicante, Alicante, Spain
2Department of Philosophy, University Rey Juan Carlos, Madrid, Spain
American Journal of Systems and Software.
2015,
Vol. 3 No. 1, 1-12
DOI: 10.12691/ajss-3-1-1
Copyright © 2015 Science and Education PublishingCite this paper: Usó-Doménech J.L., Nescolarde-Selva J., Pérez-Gonzaga S., M. J Sabán. 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.
Correspondence to: Nescolarde-Selva J., Department of Applied Mathematics, University of Alicante, Alicante, Spain. Email:
josue.selva@ua.esAbstract
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 R
2. 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.
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