Paraconsistent Multivalued Logic and Coincidentia Oppositorum: Evaluation with Complex Numbers
Por favor, use este identificador para citar o enlazar este ítem:
http://hdl.handle.net/10045/43979
Título: | Paraconsistent Multivalued Logic and Coincidentia Oppositorum: Evaluation with Complex Numbers |
---|---|
Autor/es: | Usó i Domènech, Josep Lluís | Nescolarde-Selva, Josué Antonio | Pérez Gonzaga, Sergio | Sabán, Mario Javier |
Grupo/s de investigación o GITE: | Sistémica, Cibernética y Optimización (SCO) |
Centro, Departamento o Servicio: | Universidad de Alicante. Departamento de Matemática Aplicada |
Palabras clave: | Belief systems | Circle of truth | Coincidentia oppositorum | Contradiction | Complex number | Denier | Logic coordinations | Paraconsistency | Propositions | Truth values |
Área/s de conocimiento: | Matemática Aplicada |
Fecha de publicación: | 2015 |
Editor: | Science and Education Publishing |
Cita bibliográfica: | American Journal of Systems and Software. 2015, 3(1): 1-12. doi:10.12691/ajss-3-1-1 |
Resumen: | 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. |
URI: | http://hdl.handle.net/10045/43979 |
ISSN: | 2372-708X (Print) | 2372-7071 (Online) |
DOI: | 10.12691/ajss-3-1-1 |
Idioma: | eng |
Tipo: | info:eu-repo/semantics/article |
Derechos: | © Science and Education Publishing |
Revisión científica: | si |
Versión del editor: | http://dx.doi.org/10.12691/ajss-3-1-1 |
Aparece en las colecciones: | INV - SYC - Artículos de Revistas |
Archivos en este ítem:
Archivo | Descripción | Tamaño | Formato | |
---|---|---|---|---|
ajss-3-1-1.pdf | 301,43 kB | Adobe PDF | Abrir Vista previa | |
Todos los documentos en RUA están protegidos por derechos de autor. Algunos derechos reservados.