knowledge-equilibria-are-fully-characterized
OUT derived (depth 15)
Knowledge revision converges to equilibria that are simultaneously self-sustaining through minimality's fixed-point, invariant-preserving across all belief types, correction-convergent with complete dispute resolution fidelity, and topology-accurate with verified dependency propagation — the complete set of equilibrium properties.
Summary
The system's knowledge, as it gets revised over time, settles into stable states that have every desirable property at once — they sustain themselves, preserve structural rules, fully resolve corrections, and accurately track how beliefs depend on each other. This is currently retracted, meaning something upstream was challenged, so we can no longer confirm that all these equilibrium properties hold simultaneously.
Justifications
SL — Combines the two independent equilibrium characterizations — self-sustaining invariant preservation and correction-convergent topology accuracy — into a fully characterized equilibrium
Antecedents (all must be IN):
- knowledge-revision-converges-to-self-sustaining-equilibria — Knowledge revision — evaluation-invariant, auditable across all origins, and indefinitely self-correcting — converges to equilibria that are simultaneously invariant-preserving and self-sustaining through minimality's fixed-point property, forming a closed loop where revision quality and equilibrium stability mutually reinforce.
- knowledge-equilibria-are-correction-convergent-and-topology-accurate — Knowledge growth converges to negation-transparent equilibria with complete propagation fidelity, where every correction that shapes that convergence operates on accurate topology — dependency completeness ensures corrections propagate through the true graph structure, not an approximation.