Plitogenic and Latin American Indigenous Philosophies: A Comparative Exploration

Abstract

Plitogenic, a philosophical-mathematical extension of Neutrosophic, models the genesis of new entities from the organic fusion of contradictory, neutral, and non-contradictory antecedents. This article explores how the fundamental mechanisms of plitogeny—multivalued attributes, degrees of membership, and quantified contradiction—resonate with a set of Latin American Indigenous concepts: Yanantin (complementary opposites), Ch'ixi (heterogeneous coexistence), Pachakuti (radical transformation), Ayni (reciprocal exchange), Sumak Kawsay/Buen Vivir (holistic well-being), and Teotl (monistic sacred energy). By mapping each Indigenous notion onto plitogenic sets and illustrating the role of the degree of contradiction, the article demonstrates that plitogeny provides a rigorous yet culturally respectful formalism for capturing the multiplicity, tension, and emergence inherent in these worldviews. This synthesis underscores the potential of plitogeny as a bridge between Indigenous epistemologies and contemporary logico-mathematical theory, opening avenues for interdisciplinary research, decision-support tools, and decolonial analytics.