Xenopoulos Dialectical Logic System
Abstract
For source documentation and a systematic development of the theoretical framework, see the standalone reference study The Historico-Genetic Architecture of Epameinondas Xenopoulos: Source Documentation, the Praxis-Based Foundations of Logic, and an Empirical Application, available on Zenodo: https://doi.org/10.5281/zenodo.22932499. XEPTQLRI: Xenopoulos Pre‑Transitional Qualitative Leap Risk Index Revolutionizing Stability Analysis Through Dialectical Logic "Xenopoulos' system is not merely a new logic — it is the mathematical formalization of the dialectical process itself, where contradiction is not eliminated but transformed, history is not forgotten but incorporated, and the unpredictable (ϵ) is not rejected but recognized as fundamental. The system is complete, coherent, and mathematically rigorous" AuthorKaterina XenopoulouImplementation & Experimental Analysis Epameinondas XenopoulosTheoretical Framework The theoretical foundation of this work is attributed to Epameinondas Xenopoulos (1920-1994), whose work I had the honor and responsibility to edit and complete as his daughter. The present implementation and experimental validation constitute my own contribution." Core DiscoveryOur implementation of the Xenopoulos Genetic-Historical Logic System reveals that 32.2% of computationally "stable" systems are actually in states of paradoxical transcendence—operating in simultaneous extreme values while appearing stable through conventional metrics. What This Software Does Detects "False Stability Illusion" in complex systems Implements 4 dialectical operators (¬ᴰ, ∧ᴰ, ⤊, ⟡) for contradiction analysis Calculates XEPTQLRI index—a novel risk metric that traditional approaches miss Identifies systems with extreme values (A→0.92, ¬A→-0.88) yet low tension (T
Fields of Study & Subjects
Logic
Reasoning
and Knowledge
Complex Systems and Dynamics
Advanced Algebra and Logic
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 9 February 2026