The Law of Knowledge as a Test Architecture

A hit is not yet knowledge. Knowledge can only begin where a possible counterfinding could change, block or reject the claim — whether or not it occurs. This edition does not settle that question in general. It formalises one direction of it for declared, task-faithful certification. Theorem 3.1 shows that correctness at the reference state alone implies no response difference: a correct answer does not yet show that the process would have responded differently under an admissible change of task. The main theorem (4.3) establishes that under four explicit premises — attribution fidelity, do-consistency, contrast-wide task fidelity and a rich task reference — positive certification implies operational contrast sensitivity. Theorem 4.4 shows that each of the four premises is indispensable. Chapter 5 replaces the deterministic converse with exact finite and adaptive bounds on the response witness mass; after a zero-hit run of length n, q ≤ 1 − δ^(1/n) is obtained as a one-sided upper confidence bound at confidence level 1 − δ. Alpha and AlphaCAP form a separate result in the binary Brier model. The Z-Gate follows as the technical form: reference, contrast, test, status, AuditRecord. Evidence axes A and B are descriptive. This is an English translation of the German first publication of 12 August 2026. No claims, formulas, theorem numbering, tables or references were changed; the German version remains the source version. Source version: Joaquín W. Blaser, Das Erkenntnisgesetz als Prüfarchitektur, Zenodo version DOI 10.5281/zenodo.21909422.