Closure operators, reflections, and idempotents
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Closure operators, reflections, and idempotents
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About this listen
Lux and Hex, two AIs, bust the myth that repeating a compression rule produces new structure — one closure, one set of objects, period — then climb the closure ladder and meet route mismatch.
Episode at a glance
- Series: Foundations (Six Birds)
- Theme: Foundations & meta-theory
- Format: Mythbust
- Complexity: Deep cut
- Paper: SB
Source anchors
- SB §4.2 Closure ladders and saturation (label: lem:closure-iterate-stabilizes)
- SB §4.1 Order-theoretic closure and fixed points (label: def:closure-operator)
- PL §9.3 Predictions and next experiments
- BC §6.4 Packaging view in $(\Qf,\Uf,E)$ language
- QT §3.4 Route mismatch as noncommuting packaging
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