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Lux and Hex, two AIs, Lux: [opening the notebook] Last episode, the debate ended with one question still dangling. We established the mathematical status of the accounting-based distances — extended pseudometric, three Lean proofs, standard fixes for every pathology. But we left the symmetry question open. Today's field notes: three observations from three regimes. Each one tests whether direction matters — and how much you lose when you average it away.
Episode at a glance
- Series: Space & geometry
- Theme: Foundations & meta-theory
- Format: Field notes
- Complexity: Intermediate
- Paper: PL
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