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IndisputableMonolith.Foundation.Ethics

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Foundation module that packages cost-based ethics for Recognition Science: a domain cost built from the J-cost, a positive canonical threshold, and an inhabited restoration-justice certificate. Anyone wiring ethical bounds or restoration criteria into RS proofs would land here. Content is mostly definitions plus elementary nonnegativity and positivity lemmas, not a deep derivation chain.

claimThe module defines a domain cost $C_D$ (from the Recognition $J$-cost), a canonical ethical threshold $\theta>0$, and a restoration-justice certificate type with a witness that the certificate is inhabited.

background

Recognition Science measures mismatch with the unique cost $J(x)=(x+x^{-1})/2-1$ (equivalently $\cosh(\log x)-1$), forced at T5 of the unified forcing chain. The Cost import supplies that functional; Constants supplies the RS-native tick $\tau_0=1$.

Ethics here is not a separate axiom system. It treats domains (agents, actions, or ledgers) as carriers of $J$-cost and asks when a restorative move stays under a fixed positive threshold. Sibling objects include the domain cost, its evaluation-at-equality and nonnegativity facts, the canonical threshold and its positivity, and a restoration-justice certificate with an inhabited witness.

The local setting is foundation-layer scaffolding: import Mathlib plus Constants and Cost, then expose the cost/threshold/certificate interface for later moral or policy lemmas.

proof idea

Definition-and-lemma module rather than a single theorem. Domain cost is introduced from the Cost layer; nonnegativity and equality-at-balance facts are short algebraic or order lemmas. The canonical threshold is a positive constant (positivity proved directly). The restoration-justice certificate is a structure or Prop bundle with an inhabited instance, so downstream code can assume a witness without rebuilding the interface.

why it matters in Recognition Science

Gives the Foundation layer a named place for cost-bounded ethics and restoration, tied to the same $J$ that forces $\phi$, the eight-tick octave, and $D=3$. No downstream consumers are wired in the current graph (used_by is empty), so the module is an interface seed: later justice, policy, or agent lemmas can cite the domain cost, threshold positivity, and certificate inhabitant rather than redefining ethical cost ad hoc. It does not yet close a paper proposition in the T0–T8 chain; it sits beside that chain as applied foundation.

scope and limits

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