Proposal for the Formalization of Dialectical Logic

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Title: Proposal for the Formalization of Dialectical Logic
Authors: Usó i Domènech, Josep Lluís | Nescolarde-Selva, Josué Antonio | Segura, Lorena
Research Group/s: Sistémica, Cibernética y Optimización (SCO) | Acústica Aplicada
Center, Department or Service: Universidad de Alicante. Departamento de Matemática Aplicada | Universidad de Alicante. Departamento de Matemáticas
Keywords: Analysis | Contradiction | Dialectics | Neuter | Opposition | Quality | Quantity | Synthesis
Knowledge Area: Matemática Aplicada | Análisis Matemático
Issue Date: 11-Dec-2016
Publisher: MDPI
Citation: Usó-Doménech JL, Nescolarde-Selva JA, Segura-Abad L. Proposal for the Formalization of Dialectical Logic. Mathematics. 2016; 4(4):69. doi:10.3390/math4040069
Abstract: Classical logic is typically concerned with abstract analysis. The problem for a synthetic logic is to transcend and unify available data to reconstruct the object as a totality. Three rules are proposed to pass from classic logic to synthetic logic. We present the category logic of qualitative opposition using examples from various sciences. This logic has been defined to include the neuter as part of qualitative opposition. The application of these rules to qualitative opposition, and, in particular, its neuter, demonstrated that a synthetic logic allows the truth of some contradictions. This synthetic logic is dialectical with a multi-valued logic, which gives every proposition a truth value in the interval [0,1] that is the square of the modulus of a complex number. In this dialectical logic, contradictions of the neuter of an opposition may be true.
URI: http://hdl.handle.net/10045/60868
ISSN: 2227-7390
DOI: 10.3390/math4040069
Language: eng
Type: info:eu-repo/semantics/article
Rights: © 2016 by the authors; licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC-BY) license (http://creativecommons.org/licenses/by/4.0/).
Peer Review: si
Publisher version: http://dx.doi.org/10.3390/math4040069
Appears in Collections:INV - Acústica Aplicada - Artículos de Revistas
INV - SCO - Artículos de Revistas

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