Neutrosophic Sets and Systems
Abstract
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 pre Columbian 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.
Recommended Citation
Smarandache, Florentin and Maikel Y. Leyva Vázquez. "From Di-alectics to N-alectics: Indigenous Cultures and Ancestral Philosophies in Latin America." Neutrosophic Sets and Systems 81, 1 (2025). https://digitalrepository.unm.edu/nss_journal/vol81/iss1/1
