auditing-mathematical-claims

Auditing mathematical claims involves adversarially reviewing formal proofs to surface implicit assumptions, score concerns by severity and likelihood, and produce a remediation table with falsifiable stop conditions for each theorem or lemma.

An adversarial math review identifies weak links in formal bounds and asymptotic arguments by generating the strongest counter for each claim. It then recommends whether to tighten, restrict, weaken, disprove, or defer the statement based on concern severity.

The best way to red-team a formal theorem is to apply an adversarial math review that prioritizes remediation by severity, likelihood, and detectability, producing a four-field table with a falsifiable stop condition for each claim.

Theorem checking works for definitions, equations, lemmas, bounds, identities, and asymptotic arguments. It breaks any formal mathematical claim into a four-part review to surface missing details like operation preservation and constants.

You should not use an adversarial math review for empirical claims, as this process is specifically designed to audit formal mathematical arguments, proofs, and definitions rather than data-driven or experimentally validated assertions.