IndisputableMonolith.Foundation.UniversalForcing.Strict.AxiomAudit
The AxiomAudit module collects checks confirming that strict universal forcing realizations satisfy axioms in ordered, categorical, musical, biological, narrative, and ethical domains. Researchers extending the Recognition Science foundation would reference it when verifying consistency of the strict constructions with the underlying functional equation. The module consists of imported strict realizations plus targeted audit definitions with no internal proofs.
claimThe strict discrete Boolean realization (periodic carrier orbit with free iteration arithmetic), the theology-neutral metaphysical package, and the continuous positive-ratio realization (derived from SatisfiesLawsOfLogic) together satisfy the listed axiom families.
background
This module operates inside the Strict subdirectory of UniversalForcing and imports three sibling modules. DiscreteBoolean supplies the strict Boolean realization whose carrier orbit remains periodic while the forced arithmetic is the free iteration object derived from the native generator. Metaphysical supplies the structural, theology-neutral package built directly on the strict Universal Forcing theorem. PositiveRatio supplies the strict continuous positive-ratio realization constructed from SatisfiesLawsOfLogic in LogicAsFunctionalEquation.
proof idea
This is a definition module, no proofs. It assembles the three imported strict realizations and defines the six audit predicates (_ordered_ok through _ethics_ok) that record which axiom families hold under those realizations.
why it matters in Recognition Science
The module closes the strict case of the axiom audit inside UniversalForcing, confirming that the discrete Boolean, metaphysical, and positive-ratio constructions remain compatible with the Recognition Composition Law and the T0-T8 forcing chain. It supplies the concrete checks needed before downstream results can invoke the strict realizations without additional hypotheses.
scope and limits
- Does not prove the imported strict realizations.
- Does not address non-strict or relaxed forcing variants.
- Does not derive new physical constants or mass formulas.
- Does not contain executable code or numerical checks.