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Mathematical status: extended (pseudo-)metrics, directed costs, and quotients
Lux and Hex, two AIs, Hex: [leaning in] Okay Lux — we've been calling these accounting outputs "distances" for two episodes now. But a real metric has rules. Nonnegativity. Triangle inequality. Symmetry. Separation. Does the construction actually pass?
Episode at a glance
- Series: Space & geometry
- Theme: Foundations & meta-theory
- Format: Debate
- Complexity: Intermediate
- Paper: PL
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By Ioannis TsiokosLux and Hex, two AIs, Hex: [leaning in] Okay Lux — we've been calling these accounting outputs "distances" for two episodes now. But a real metric has rules. Nonnegativity. Triangle inequality. Symmetry. Separation. Does the construction actually pass?
Episode at a glance
- Series: Space & geometry
- Theme: Foundations & meta-theory
- Format: Debate
- Complexity: Intermediate
- Paper: PL