Perspective Chapter: Beyond Computation – A Triferencial Logic for Relational Complexity

This chapter introduces the Triferencial Relational Logic (LRT) as a foundational epistemological and methodological framework for analyzing and transforming complex systems. Departing from traditional ontologies of entities and binary logic, the LRT proposes an ontology of co-implicated relations grounded in three irreducible distinctions: function, position, and sense. These dimensions allow for the mapping and interpretation of relational fields, enabling the identification of tensions, contradictions, and emergent possibilities within institutional and ecological systems. Inspired by relational epistemology, second-order cybernetics, and post-structuralist thought, the approach challenges autopoietic and computational models that reduce cognition to mechanical feedback loops. Instead, LRT integrates the observer as a constitutive part of the system, acknowledging the symbolic and situated nature of cognition. The methodology includes metarelational questions, triferencial mapping, matrices of tension, symbolic validation, and viable trajectories. Applications span across organizational governance, territorial planning, ecological restoration, and artificial intelligence, showcasing its versatility. The concept of ecopoiesis—understood as symbolic regeneration—is central to the framework’s capacity to foster meaning and viability in fragmented or operationally empty systems. Overall, the chapter offers a transdisciplinary model that redefines the analysis of complex realities, emphasizing symbolic reconfiguration and emergent coherence as keys to sustainable transformation.