Formalizing Latin American Perspectivism: A Neutrosophic MultiPerspectivism Model

This paper addresses the challenge of formally modeling the complex, often contradictory, knowledge systems inherent in Latin American decolonial thought. It introduces Neutrosophic MultiPerspectivism, a framework that operationalizes philosophical perspectivism using neutrosophic logic. We posit th...

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Main Authors: Maikel Y. Leyva Vázquez, Florentin Smarandache
Format: Article
Language:English
Published: University of New Mexico 2025-07-01
Series:Neutrosophic Sets and Systems
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Online Access:https://fs.unm.edu/NSS/10MultiPerspectivism.pdf
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author Maikel Y. Leyva Vázquez
Florentin Smarandache
author_facet Maikel Y. Leyva Vázquez
Florentin Smarandache
author_sort Maikel Y. Leyva Vázquez
collection DOAJ
description This paper addresses the challenge of formally modeling the complex, often contradictory, knowledge systems inherent in Latin American decolonial thought. It introduces Neutrosophic MultiPerspectivism, a framework that operationalizes philosophical perspectivism using neutrosophic logic. We posit that knowledge is situated and truth is mediated by the observer's viewpoint—a concept with roots in Nietzschean philosophy but which finds distinct expression in Amerindian cosmologies and pluralistic legal systems. The primary method involves proposing a "Neutrosophic MultiPerspectivism Model," which uses MultiNeutrosophic sets to represent subjective perspectives as a triplet of truth, indeterminacy, and falsity sequences ⟨T, I, F⟩. A key result is the development of a similarity function that quantifies the affinity between different perspectives, transforming qualitative viewpoints into analyzable data. This model is applied to a case study of a legal land dispute, where it successfully reveals hidden structural similarities—such as a shared absolutist reasoning style between opposing parties—and identifies potential strategic alliances. The main conclusion is that neutrosophic logic provides a robust mathematical tool to navigate the ambiguity and plurality of perspectivist realities, moving beyond mere acknowledgment of difference to its formal analysis and potential integration.
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spelling doaj-art-3ce609458c604480af79e8fe605c3b652025-08-20T03:07:10ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2025-07-018812315010.5281/zenodo.15774129Formalizing Latin American Perspectivism: A Neutrosophic MultiPerspectivism ModelMaikel Y. Leyva VázquezFlorentin SmarandacheThis paper addresses the challenge of formally modeling the complex, often contradictory, knowledge systems inherent in Latin American decolonial thought. It introduces Neutrosophic MultiPerspectivism, a framework that operationalizes philosophical perspectivism using neutrosophic logic. We posit that knowledge is situated and truth is mediated by the observer's viewpoint—a concept with roots in Nietzschean philosophy but which finds distinct expression in Amerindian cosmologies and pluralistic legal systems. The primary method involves proposing a "Neutrosophic MultiPerspectivism Model," which uses MultiNeutrosophic sets to represent subjective perspectives as a triplet of truth, indeterminacy, and falsity sequences ⟨T, I, F⟩. A key result is the development of a similarity function that quantifies the affinity between different perspectives, transforming qualitative viewpoints into analyzable data. This model is applied to a case study of a legal land dispute, where it successfully reveals hidden structural similarities—such as a shared absolutist reasoning style between opposing parties—and identifies potential strategic alliances. The main conclusion is that neutrosophic logic provides a robust mathematical tool to navigate the ambiguity and plurality of perspectivist realities, moving beyond mere acknowledgment of difference to its formal analysis and potential integration. https://fs.unm.edu/NSS/10MultiPerspectivism.pdfneutrosophic logicmultiperspectivismlatin american philosophydecolonial theorymultineutrosophic setssimilarity functionlegal pluralismperspectivism
spellingShingle Maikel Y. Leyva Vázquez
Florentin Smarandache
Formalizing Latin American Perspectivism: A Neutrosophic MultiPerspectivism Model
Neutrosophic Sets and Systems
neutrosophic logic
multiperspectivism
latin american philosophy
decolonial theory
multineutrosophic sets
similarity function
legal pluralism
perspectivism
title Formalizing Latin American Perspectivism: A Neutrosophic MultiPerspectivism Model
title_full Formalizing Latin American Perspectivism: A Neutrosophic MultiPerspectivism Model
title_fullStr Formalizing Latin American Perspectivism: A Neutrosophic MultiPerspectivism Model
title_full_unstemmed Formalizing Latin American Perspectivism: A Neutrosophic MultiPerspectivism Model
title_short Formalizing Latin American Perspectivism: A Neutrosophic MultiPerspectivism Model
title_sort formalizing latin american perspectivism a neutrosophic multiperspectivism model
topic neutrosophic logic
multiperspectivism
latin american philosophy
decolonial theory
multineutrosophic sets
similarity function
legal pluralism
perspectivism
url https://fs.unm.edu/NSS/10MultiPerspectivism.pdf
work_keys_str_mv AT maikelyleyvavazquez formalizinglatinamericanperspectivismaneutrosophicmultiperspectivismmodel
AT florentinsmarandache formalizinglatinamericanperspectivismaneutrosophicmultiperspectivismmodel