MoralImprovementStep
plain-language theorem explainer
MoralImprovementStep supplies the carrier type for ethical realizations in the Universal Forcing framework by identifying it with the natural numbers to count morally meaningful improvement steps. Researchers formalizing the interface between logic and ethics in the Recognition Science mirror cite this when building cost and comparison structures. The declaration is a direct type abbreviation with no further computational content.
Claim. The carrier type for counting morally meaningful improvement steps is the set of natural numbers.
background
The EthicsRealization module supplies a lightweight formalization of ethical realization for use in Universal Forcing. It treats the carrier as the count of morally meaningful improvement steps and provides only the identity and step comparison structure required by the forcing mechanism, without reconstructing a full domain theory of ethics.
proof idea
The declaration is a one-line abbreviation that sets the type of morally meaningful improvement steps equal to the natural numbers.
why it matters
This definition supplies the carrier type for the ethicsRealization structure, which realizes ethical improvement counts within the Universal Forcing framework. It is referenced by ethicsCost, ethicsInterpret, and ethicsRealization to define cost and comparison operations on improvement steps. In the broader Recognition Science setting, it provides the minimal interface needed to embed ethical considerations into the forcing chain without additional hypotheses.
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