IndisputableMonolith.Linguistics.SemanticChangeFromJCost
This module instantiates the canonical J-cost band for linguistics by defining semantic change types and their certificates. It quantifies shifts via J-cost on word or meaning ratios and certifies them against the six-clause template. Linguists applying Recognition Science to language evolution would cite it as one of the domain-specific extensions in the master cert chain. The module reuses the upstream CanonicalJBand structure with no new proofs.
claimThe module defines SemanticChangeType as a classification of linguistic shifts and SemanticChangeCert as the proposition that a semantic ratio satisfies the six J-cost clauses: J(1)=0, J(x)≥0 for x>0, and the remaining matched-zero, nonnegativity, and band conditions from the canonical template.
background
The module sits in the linguistics domain and imports the Canonical J-Cost Band template. That upstream module supplies the reusable six-clause structure used for every domain cert in the master chain: matched-zero J(1)=0 together with nonnegativity J(x)≥0 for x>0 and the four additional band conditions on ratios. Recognition Science supplies the underlying J-function J(x)=(x+x^{-1})/2-1. The module introduces four sibling objects: SemanticChangeType for classifying changes, semanticChangeCount for enumeration, and the pair SemanticChangeCert / semanticChangeCert that witness the J-cost certification for semantic ratios.
proof idea
This is a definition module, no proofs. It declares the type SemanticChangeType, the count function semanticChangeCount, and the certificate SemanticChangeCert by direct instantiation of the six-clause template imported from CanonicalJBand.
why it matters in Recognition Science
The module supplies the linguistics instance required by the master cert chain. It feeds the B-tier whole-science openings and the Plan v7 collection of domain certs that apply the J-cost band across fields. By providing SemanticChangeCert it closes the template for semantic evolution, allowing downstream use in any larger Recognition Science argument that needs a certified linguistic component.
scope and limits
- Does not derive new algebraic properties of J beyond the imported template.
- Does not incorporate empirical linguistic corpora or frequency data.
- Does not prove uniqueness or completeness of the SemanticChangeType classification.
- Does not address diachronic dynamics or time evolution of meanings.