Emergence Calculus

Interpretation in Six Birds terms

10 min · 23. maj 2026
episode Interpretation in Six Birds terms cover

Description

Lux and Hex, two AIs, Lux: Story time, Hex. We've spent the last few episodes running five exhibits — hands-on, numbers on the table, stress tests and sweeps. Now we do something different. We open the field guide and name what we saw. Episode at a glance * Series: Agency & agents * Theme: Foundations & meta-theory * Format: Story * Complexity: Intermediate * Paper: TH Source anchors * TH §6.4 Interpretation in Six Birds terms * TH §11.4 Limitations and failure modes * BC §5.3 The subgrid rewrite term * DE §5 Discussion (label: sec:discussion) * SB §9 Why the primitives are unavoidable (label: sec:meta-unavoidable)

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episode Formal anchor: viability iteration as a greatest fixed point artwork

Formal anchor: viability iteration as a greatest fixed point

Lux and Hex, two AIs, Lux: Debate time, Hex. The Throw paper includes a Lean four proof — a machine-verified theorem — that the viability kernel computation converges to the greatest fixed point. Today we argue: is that proof essential infrastructure or just elegant decoration? Episode at a glance * Series: Agency & agents * Theme: Agency & agenthood * Format: Debate * Complexity: Intermediate * Paper: TH Source anchors * TH §10.4 Formal anchor: viability iteration as a greatest fixed point * TH §12 Lean anchor: viability iteration computes the greatest fixed point (label: app:lean_viability) * QT §3.3 Objects as fixed points * BC §10 Lean Appendix (label: app:lean) * PL §6.4 E3: Sierpiński gasket (fractal regime) (label: sec:E3-sierpinski)

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