Formal research-program draft
Schemathematics
A research-program draft studying schemas as lawful generators and carriers of objects, transformations, admissibility conditions, invariants, defects, provenance, and repair.
The publication asks what a mathematical object does and which operative profile makes its structure available for comparison, navigation, translation, pedagogy, or machine reasoning.
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Known-math calibration, formal tightening, and external mathematical review.
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Its own discipline is conservative: prefer established mathematics wherever it already carries the required structure, and require the added schema representation to earn its cost through concrete explanatory or computational value.