MATHEMATICS AND PHYSICAL SCIENCE — AUTHORING AND REVIEW METHOD

The prose definitions in math-physical-definitions.tsv were individually authored as compact explanatory proposals. They were not generated by taking the first sentence of each Wikipedia page or by automatically approving title matches. The companion Python file serializes those authored rows and checks basic shape; it does not create definitions or decide novelty.

Source inspection is selective. It checks introductory material against the intended concept, resolves title and redirect scope, and opens additional retained paragraphs for specific conditions or ambiguities. Full wikitext, rendered HTML and normalized reading text remain available for the human reviewer. A lead-inspected marker is not a claim that every paragraph, equation, citation or historical statement in an article has been reviewed.

Several boundaries are explicitly retained: field versus ring conditions in determinants; convergence versus merely having derivatives; density versus probability; frequency versus propagation speed; phase versus group velocity; heat transfer versus internal energy; equilibrium composition versus reaction rate; instrument precision versus truth; statistical non-rejection versus acceptance. These are authored explanatory boundaries, not claims of a new theorem or a replacement scientific consensus.

Existing Carrier definitions were considered through the full inventory, focused reading, known matches and a lexical overlap screen. The screen uses token overlap weighted by inverse document frequency; its output is a list of review leads, not a semantic proof. Known direct overlaps were reused, including mathematical induction and the grouping reversal expressed by Simpson's paradox. Closely related but distinct concepts retain explicit links and scope notes.

One source article can support more than one distinct concept. Systematic error and random error both redirect to Observational error, whose separate paragraphs define the two components. Conversely, Entailment redirects to Logical consequence and does not warrant another entry for the same meaning. Canonical page identity is therefore a provenance key, not an automatic concept identity rule.

The derivative definitions remain human-pending local working proposals. Their relations aid navigation and composition; a relation does not silently assert physical causation, proof, consent, safety or agreement. Exact source revision and paragraph hashes preserve inspected text, not its truth or specialist adequacy.

Development note: an initial display-only lexical-screen summary attempted to sort an entry with no overlap candidates and raised IndexError. The complete screen JSON had already been written; the summary was corrected to exclude empty candidate lists. No source or normative Carrier data was changed by that diagnostic.
