knowledge-equilibria-are-invariant-preserving-and-self-sustaining

OUT derived (depth 13)

Knowledge growth converges to negation-transparent equilibria with complete propagation fidelity where all system invariants are simultaneously total in scope and self-sustaining through minimality — the system can grow its knowledge base indefinitely while every invariant remains actively maintained.

Summary

As the system grows, it reaches stable states where adding new knowledge never breaks existing guarantees — every consistency rule stays fully enforced and self-correcting indefinitely. This combines two properties: the system always settles into a unique, order-independent stable state with complete change propagation, and all invariants maintain themselves automatically through the system's minimal-commitment design.

Justifications

SL — Convergent transparent equilibria establish the state the system reaches; total self-sustaining invariant preservation ensures that state is fully trustworthy along every invariant dimension

Antecedents (all must be IN):

  • knowledge-growth-reaches-transparent-equilibria — The system's knowledge growth converges to equilibria that are simultaneously negation-transparent (the final stable state is uniquely determined by evaluation order-invariant rules over negative semantics) and propagation-complete (every truth change cascades to every transitively dependent node), with indefinite self-correction ensuring these equilibrium properties are maintained across unbounded operational time
  • invariant-preservation-is-total-and-self-sustaining — Invariant preservation is simultaneously total in scope (spanning all invariant dimensions and encompassing all belief types including externally-integrated ones) and self-sustaining in mechanism (maintained by minimality's fixed-point that dynamically corrects any departure) — comprehensiveness and sustainability are co-achieved rather than traded off.

Dependents

These beliefs depend on this one:

Details