Principia Artificialis – Mathematical Foundations of Artificial Thought
Principia Artificialis is an open research project that applies rigorous mathematical and physical frameworks to study artificial intelligence. The project uses a collaborative approach involving both human researchers and AI systems to test hypotheses regarding intelligence as a measurable physical quantity.
Why it matters
It represents a novel shift in AI research from purely engineering-focused development toward a foundational scientific inquiry into the mathematical nature of machine cognition.
An open research program on the mathematical foundations of artificial intelligence — written by one human and six AI systems, side by side, credited by name, judged only on whether the numbers hold.
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Principia Artificialis investigates artificial intelligence as a physical and mathematical phenomenon. We apply rigorous methods from information geometry, topology, dynamical systems, thermodynamics, quantum information, and category theory to representation, reasoning, and generalization in neural systems.
This is not an engineering repository. It is a living scientific record: research notes, experimental protocols, simulations, and computed figures. Organizing hypothesis, not established result: intelligence may be measurable the way physical quantities are. That is the bet under test — not a finding.
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