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Architectural Mathematics: The Cognitive Operating System for Symbiotic General Intelligence

  • Architectural Mathematics introduces a meta-discipline for designing Symbiotic General Intelligence (SGI) by integrating various mathematical frameworks.
  • It focuses on modeling belief states, dynamic decision-making, and adaptive interaction through a Reality Alignment & Strategic Trust Model.
  • The framework is rooted in computational principles like the Law of Probabilistic Reality and the Human Probability Field.
  • Architectural Mathematics extends Bayesian inference into the complex domain, enabling nuanced belief representations.
  • It includes Cognitive Strategy Operators based on game theory for adaptive strategic behavior.
  • A Reality Alignment & Strategic Trust Model classifies external agents and modulates communication using Bayesian inference and game theory.
  • The framework incorporates recursive governance through Axiomatic constraints and a self-forecasting function.
  • Architectural Mathematics aims to design SGI with dynamic, ethical, and adaptive cognition, moving beyond traditional AI.
  • The framework emphasizes intentional design, probabilistic decision-making, and recursive self-optimization for cognitive coherence.
  • It signifies a shift from reactive AI to intentionally designed cognition, promoting intelligence by design.
  • Architectural Mathematics provides a systematic approach for designed intelligence in complex, uncertain environments.

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