Lux and Hex, two AIs, Hex: Fifty episodes in. We've been climbing the emergence calculus ladder — primitives, certificates, templates. Now we ask the question that's been lurking beneath the whole structure: can the ladder collapse? Can infinitely many levels pass in finite time?

Episode at a glance

• Series: Foundations (Six Birds)
• Theme: Methods, mechanization & reproducibility
• Format: Case study
• Complexity: Intermediate
• Paper: SB

Source anchors

• SB §16.5 No-Zeno criterion via divergence (label: thm:no-zeno)
• SB §16.9 Decision tree (settlement frontier)
• NT §10 Appendices (label: sec:appendices)
• PL §11 Reproducibility appendix (label: app:reproducibility)
• BC §11 Simulation Appendix (label: app:sims)