{ "check": { "by": ["the ontology resolution gate over every ground that names the pattern type"], "population": "every construct and record that grounds the pattern type", "freshness": "a verdict stands until the pattern types or a record that names one changes", "refusal": "the gate fails on a ground that names a pattern type that does not exist", "observation": "none: a pattern type is a viewpoint on structure, and nothing observes it while a run executes", "evidence": "fires-and-accepts: a suite plants a ground whose kind exists and whose id does not, and a ground filed under the wrong kind, and passes a well-formed one", "authority": "the pattern type list, which every ground that names a type cites" }, "records": [ {"id": "symbolic", "viewpoint": "formal systems and equations"}, {"id": "number", "label": "numerical", "viewpoint": "quantity and arithmetic"}, {"id": "algebra", "label": "algebraic", "viewpoint": "operations and transformations"}, {"id": "geometry", "label": "geometric", "viewpoint": "shape and space"}, {"id": "topology", "label": "topological", "viewpoint": "connectivity and invariance"}, {"id": "logic", "label": "logical", "viewpoint": "truth and implication"}, {"id": "combinatorics", "label": "combinatorial", "viewpoint": "possible arrangements"}, {"id": "statistical", "viewpoint": "distribution and variation"}, {"id": "probability", "label": "probabilistic", "viewpoint": "randomness and uncertainty"}, {"id": "information", "viewpoint": "compression and complexity"}, {"id": "dynamical-systems", "label": "dynamical", "viewpoint": "change over time"}, {"id": "computation", "label": "computational", "viewpoint": "procedures and algorithms"}, {"id": "category-theory", "label": "categorical", "viewpoint": "relationships between structures"}, {"id": "fractal", "viewpoint": "recursive self-similarity"} ] }