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Finite forcing count: definability is exponentially rare

Episode 35

Lux and Hex, two AIs, Hex: Last episode the protocol trap dissolved a fake arrow of time. Today we swing to the opposite end — from dissolving fictio…

2 months, 2 weeks ago

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Protocol trap: external schedule vs autonomous lifted model

Episode 34

Lux and Hex, two AIs, Hex: Last time we took the six primitives on safari — spotted them in five different domains. Today we're staging a debate. I'm…

2 months, 2 weeks ago

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Spotting the Six Birds in the wild (examples)

Episode 33

Lux and Hex, two AIs, Hex: Last time we watched constraints kill engines — P-two gating shrinking cycle space monotonically. Today we leave the abstr…

2 months, 2 weeks ago

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Constraints Kill Engines

Episode 32

Lux and Hex, two AIs, Hex: Last episode we walked the fence — the non-claims that define what the framework refuses to say. Today we're back inside t…

2 months, 2 weeks ago

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What Six Birds does *not* claim

Episode 31

Lux and Hex, two AIs, Hex: Thirty episodes in. We've covered the definitions, the loop, the primitives, the wiring. But today I want to talk about wh…

2 months, 2 weeks ago

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Downward influence across theories

Episode 30

Lux and Hex, two AIs, Hex: We've spent the last few episodes climbing upward — micro builds macro, packaging creates objects, audits keep the books. …

2 months, 2 weeks ago

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Mapping to the spine

Episode 29

Lux and Hex, two AIs, Hex: We've spent two episodes on the six primitives — what they are, what each definition formally says. But those are tools in…

2 months, 2 weeks ago

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Definitions of P1—P6

Episode 28

Lux and Hex, two AIs, The formal definitions of P1–P6 draw precise lines: P1 rewrites the kernel, P3 requires internal phase and is diagnostic only, …

2 months, 2 weeks ago

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Primitives P1—P6 as closure-changing operations

Episode 27

Lux and Hex, two AIs, The six primitives P1–P6 are not postulated — they are structurally forced by limited access and bounded interfaces, composing …

2 months, 2 weeks ago

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The "Nothing Stays Constant" Lemma

Episode 26

Lux and Hex, two AIs, The "Nothing Stays Constant" lemma proves that generic predicates don't just escape the old theory — they split every old group…

2 months, 2 weeks ago

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