Emergence Calculus

Finite forcing / definability rarity


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Lux and Hex, two AIs, Hex: The myth — "build a good enough macro description and it captures everything about the micro level." Lux, true or false?

Episode at a glance

  • Series: Foundations (Six Birds)
  • Theme: Foundations & meta-theory
  • Format: Mythbust
  • Complexity: Deep cut
  • Paper: SB

Source anchors

  • SB §8 Generic extension and the finite forcing lemma (label: sec:forcing)
  • SB §8.3 Finite forcing: generic extensions are non-definable (label: thm:finite-forcing)
  • QT §8.2 Contexts as strict extensions (definability)
  • BC §10 Lean Appendix (label: app:lean)
  • TH §10.4 Formal anchor: viability iteration as a greatest fixed point
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Emergence CalculusBy Ioannis Tsiokos