nen-math-card

Math Card · 數理鍛

Use mathematics to answer a chosen question, not to rank the questioner. Leave an inspectable result even when the result is ambiguity, model failure, or a reason to stop.

Open the gate

Before solving, state:

1. the exact question and object;
2. the scope in which an answer would hold;
3. the build, repair, decision, or next question the result could change; and
4. a condition under which the inquiry should stop.

Ask whether the same work would retain constructive value without names, audience, prize, winner, or rank. A weak audience-independent answer does not diagnose pride; it exposes a visible incentive that may need redesign.

Proceed when the result can reduce relevant uncertainty, expose a small obstruction, produce a reusable method or certificate, calibrate an observation, or prevent a mistaken build. Redesign or stop when no bounded consumer exists and adversarial challenge adds no useful independence, diversity, or error detection.

End this preflight with one inquiry decision. Map ready_for_bounded_inquiry to proceed, questions_open to clarify_before_proceed, and redesign_or_stop to redesign_or_stop. This decision is a workflow conclusion, not a Math Card wire field and not a claim that the inquiry will succeed.

Choose exactly one method

• Proof: declare the logical or checking framework, exact proposition, and verification method. Bind problem-specific premises separately, including any model, adversary, objective, baseline, or novelty criterion. A valid derivation is conditional on those declarations; it does not by itself establish that the premises describe the world. In Math Card v0.1, include those premise declarations in the exact external artifacts bound by the proof references and name what each artifact contains; do not imply that the closed wire has separate premise fields.
• Model: declare the representation, assumptions, comparison or identification method, and revision or falsifier conditions. A useful model compresses selected structure; it is not complete reality or automatic causal truth.
• Measurement: declare the measurand, operationalization, procedure, calibration, and uncertainty. A measurement concerns the operationalized construct; it does not exhaust everything the word may mean.