<b>62. YUCT Quantitative Philosophy</b>

62. Количественная философия YUCT
Alexey V. Yakushev
2026-07-12

YUCT Quantitative Philosophycoordination efficiencyontological coherencephilosophical errorsemantic networks
<b>YUCT Appendix: YUCT Quantitative Philosophy</b><br>(62) This work presents the first rigorous quantitative description of philosophical systems in human history. Any philosophical system is represented by the triad D + I·R (Dictionary, Index, Resonance). The depth of a system is measured by coordination efficiency K_eff = H(D)/H(I). Internal contradiction is measured by philosophical error ε = κ_c α K_eff^{-2/3}. Ontological coherence is measured by generalized Bell inequality S(K_eff). The history of philosophy is shown as the evolution of K_eff. The soul receives a strict quantitative definition as the personal coordination matrix C_pers. The work introduces a complete mathematical apparatus for measuring any philosophical system, including automatic extraction of axioms and semantic networks. All quantities are computable via semantic analysis of texts, making philosophy a verifiable science. The universal exponent β = 2/3 (≈0.6667) appears in the error law, linking philosophy to physics, biology, and economics through isomorphic structures.
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Internal contradiction is modeled by the error law ε = κ_c α K_eff^{-2/3}, with a universal exponent β = 2/3.
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It defines coordination efficiency as K_eff = H(D)/H(I), presenting it as a quantitative measure of philosophical-system depth.
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Ontological coherence is assessed using a generalized Bell inequality S(K_eff).
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The framework defines the soul as a personal coordination matrix and proposes computable semantic-analysis methods for extracting axioms and semantic networks.
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The paper represents any philosophical system using the triad D + I·R: Dictionary, Index, and Resonance.

philosophical systems in human history

their quantitative structure, coordination efficiency, internal contradiction, ontological coherence, historical evolution, and computable mathematical characterization

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2026-07-12
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Alexey V. Yakushev
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