This repository provides a minimal, one-click demonstration of Cognitional Mechanics (CM). It proves that non-commutative computation—the idea that the order of operations fundamentally changes the outcome—is a structural resource for intelligence that can be fully operationalized on classical hardware.
This repository is NOT a demonstration of ordinary matrix non‑commutativity. It illustrates the core axiom of Cognitional Mechanics: intelligence itself is a non‑commutative system.
Order of operations is not a mathematical curiosity but the fundamental structure of reasoning, attention, and meaning generation. The NumPy demo provided here is a minimal classical analogue showing that CM’s non‑commutativity does not depend on physical quantum mechanics. It is a substrate-independent structural property of intelligence.
- Order is Everything: Intelligence is an order-sensitive system. The sequence of information processing defines the semantic state.
- Quantum is Optional: Non-commutativity does not require physical quantization, entanglement, or probabilistic wave-function collapse.
- Deterministic Logic: This is a purely algebraic implementation of reasoning using standard linear algebra (NumPy). It is repeatable, verifiable, and noise-free.
This implementation is based on the comparative analysis and foundational framework established in:
- Comparative Analysis of Cognitional Mechanics and Quantum Computation: A Structural Approach DOI: 10.5281/zenodo.18066127
- Foundations of Cognitional Mechanics DOI: 10.5281/zenodo.18005554
Ensure you have Python and NumPy installed. Then, run the script:
python cm_demo.py