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Pseudometric versus metric and separation

Episode 126

Lux and Hex, two AIs, Hex: [interviewer mode] Okay Lux — we've been using the word pseudometric (SOO-doh-metric) for two episodes now. Listeners keep…

1 month ago

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Directed versus undirected

Episode 125

Lux and Hex, two AIs, Lux: [opening the notebook] Last episode, the debate ended with one question still dangling. We established the mathematical st…

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Mathematical status: extended (pseudo-)metrics, directed costs, and quotients

Episode 124

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 ha…

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Distance is accounting (P6): costs from likelihood

Episode 123

Lux and Hex, two AIs, Lux: [leaning in] Here's a question. You want the distance between two cities. But you don't have a map. No roads. No ruler. No…

1 month ago

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Prototypes as lifts: closure representatives (P1, P5)

Episode 122

Lux and Hex, two AIs, Hex: [leaning in] Okay — quick thought experiment. You compress a photo. Decompress it. Compress it again. Same file both times…

1 month ago

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Substrate and micro-dynamics

Episode 121

Lux and Hex, two AIs, Lux: [leaning forward] Here's the story. You wake up in an unknown city. No map. No street names. No GPS. All you have is a tab…

1 month ago

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Bird 6 — Audit: Accounting (cost is real)

Episode 120

Lux and Hex, two AIs, Lux: [settling in] Last episode — the zoom lens. P4 staging. Today — the receipt book. P6: accounting. The sixth and final bird…

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Bird 4 — Sectors: Staging (multi-scale refinement)

Episode 119

Lux and Hex, two AIs, Hex: Episode one hundred and nineteen. Myth-busting day.

Episode at a glance

Series: Space & geometryTheme: Foundations & meta-t…

1 month ago

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Bird 2 — Gate: Constraints (feasibility)

Episode 118

Lux and Hex, two AIs, Lux: [leaning forward] Constraints sound boring. "You can't do that." End of story, right?

Episode at a glance

Series: Space & g…

1 month ago

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Six Birds Recap: how the primitives specialize to geometry

Episode 117

Lux and Hex, two AIs, Hex: [leaning forward] Okay, Lux. Six birds. Same six in every paper. Time, physics, biology, geometry — always P1 through P6. …

1 month ago

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