metaethicalPositionsCert
plain-language theorem explainer
The metaethicalPositionsCert definition supplies a certificate confirming that exactly five metaethical positions are recognized, aligned with the configuration dimension of five. Researchers in metaethics or foundational philosophy would cite this to anchor discussions of positions like moral realism and relativism within the Recognition Science structure. It is realized as a direct definition that populates the certificate structure using the decidable count of enumerated positions.
Claim. A certificate is defined asserting that the finite cardinality of the type of metaethical positions equals five, obtained by direct assignment from the enumeration theorem.
background
The module establishes five canonical metaethical positions corresponding to a configuration dimension of five: moral realism (cognitivist), constructivism, non-cognitivism (expressivism), error theory, and moral relativism. The upstream theorem proves by decision procedure that the cardinality of the enumerated positions is exactly five. The structure requires this cardinality equality as its sole field.
proof idea
This is a one-line definition that constructs the certificate by directly assigning the five_positions field from the enumeration count theorem.
why it matters
This definition completes the certification of the five-position metaethical taxonomy in the philosophy module, linking the configuration dimension to metaethical analysis. It supports the broader Recognition Science claim that structures emerge from dimensional constraints, here with D=5 for metaethics. No open questions are addressed as it is a terminal definition with no dependents.
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