From Di-alectics to N-alectics: Indigenous Cultures and Ancestral Philosophies in Latin America
This paper explores the n-alectic framework, which extends traditional di-alectic and tri-alectic models by integrating multiple subcomponents through refined neutrosophic logic. Drawing from preColumbian philosophies, particularly Mesoamerican, Andean, and Amazonian traditions, the study demonstrat...
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| Format: | Article |
| Language: | English |
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University of New Mexico
2025-04-01
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| Series: | Neutrosophic Sets and Systems |
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| Online Access: | https://fs.unm.edu/NSS/1IndigenousCultures.pdf |
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| author | Florentin Smarandache Maikel Y. Leyva Vázquez |
| author_facet | Florentin Smarandache Maikel Y. Leyva Vázquez |
| author_sort | Florentin Smarandache |
| collection | DOAJ |
| description | This paper explores the n-alectic framework, which extends traditional di-alectic and tri-alectic models by integrating multiple subcomponents through refined neutrosophic logic. Drawing from preColumbian philosophies, particularly Mesoamerican, Andean, and Amazonian traditions, the study demonstrates how indigenous worldviews align with n-alectic structures. The figure of Quetzalcóatl/Kukulkán illustrates a triadic balance of sky, earth, and underworld, while Andean Yanantin and Pachakuti reflect complementary duality and transformation. Shuar cosmology further exemplifies a complex n-alectic system, where multiple spiritual and natural forces interact dynamically. The ethical decision-making model, applied to resource extraction and Pachamama principles, utilizes weighted metrics and neutrosophic distance calculations to evaluate sustainable choices. Results highlight n-alectic reasoning as a powerful tool for balancing economic, environmental, and social factors, promoting harmonious integration of opposing forces in decision-making. |
| format | Article |
| id | doaj-art-d2686b36360c49c79a9f83edc695f3aa |
| institution | Kabale University |
| issn | 2331-6055 2331-608X |
| language | English |
| publishDate | 2025-04-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj-art-d2686b36360c49c79a9f83edc695f3aa2025-08-25T09:19:20ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2025-04-018111110.5281/zenodo.14795614From Di-alectics to N-alectics: Indigenous Cultures and Ancestral Philosophies in Latin AmericaFlorentin SmarandacheMaikel Y. Leyva VázquezThis paper explores the n-alectic framework, which extends traditional di-alectic and tri-alectic models by integrating multiple subcomponents through refined neutrosophic logic. Drawing from preColumbian philosophies, particularly Mesoamerican, Andean, and Amazonian traditions, the study demonstrates how indigenous worldviews align with n-alectic structures. The figure of Quetzalcóatl/Kukulkán illustrates a triadic balance of sky, earth, and underworld, while Andean Yanantin and Pachakuti reflect complementary duality and transformation. Shuar cosmology further exemplifies a complex n-alectic system, where multiple spiritual and natural forces interact dynamically. The ethical decision-making model, applied to resource extraction and Pachamama principles, utilizes weighted metrics and neutrosophic distance calculations to evaluate sustainable choices. Results highlight n-alectic reasoning as a powerful tool for balancing economic, environmental, and social factors, promoting harmonious integration of opposing forces in decision-making. https://fs.unm.edu/NSS/1IndigenousCultures.pdfn-alecticneutrosophic logicindigenous philosophyethical decision-makingandean cosmologymesoamerican worldview |
| spellingShingle | Florentin Smarandache Maikel Y. Leyva Vázquez From Di-alectics to N-alectics: Indigenous Cultures and Ancestral Philosophies in Latin America Neutrosophic Sets and Systems n-alectic neutrosophic logic indigenous philosophy ethical decision-making andean cosmology mesoamerican worldview |
| title | From Di-alectics to N-alectics: Indigenous Cultures and Ancestral Philosophies in Latin America |
| title_full | From Di-alectics to N-alectics: Indigenous Cultures and Ancestral Philosophies in Latin America |
| title_fullStr | From Di-alectics to N-alectics: Indigenous Cultures and Ancestral Philosophies in Latin America |
| title_full_unstemmed | From Di-alectics to N-alectics: Indigenous Cultures and Ancestral Philosophies in Latin America |
| title_short | From Di-alectics to N-alectics: Indigenous Cultures and Ancestral Philosophies in Latin America |
| title_sort | from di alectics to n alectics indigenous cultures and ancestral philosophies in latin america |
| topic | n-alectic neutrosophic logic indigenous philosophy ethical decision-making andean cosmology mesoamerican worldview |
| url | https://fs.unm.edu/NSS/1IndigenousCultures.pdf |
| work_keys_str_mv | AT florentinsmarandache fromdialecticstonalecticsindigenousculturesandancestralphilosophiesinlatinamerica AT maikelyleyvavazquez fromdialecticstonalecticsindigenousculturesandancestralphilosophiesinlatinamerica |