On the Structural Admissibility of Transferable Learning Claims under Repeated Instruction

This paper audits the claim that repeated instruction produces transferable learning structures. The audit is conducted under a restricted educational scope: repeated instruction within stable classroom formats, familiar task classes, repeated assessment cycles, and score-based evaluation regimes. Rather than presupposing transfer, understanding, or structural learning, the paper forces the declaration of recurrence and structure and evaluates whether both are admissible under stable reference conditions. It then applies Rule–State Separation and a proxy discipline that prohibits structural inference from grades, accuracy, task speed, and familiar-format success. Under the declared school-format regime, repeated improvement remains compatible with more efficient execution within a fixed response schema unless an explicit transfer-enabling rule-object modification is declared. No such rule modification is secured under the claim. The resulting structural classification is therefore: Ψ = 0. No transferable learning claim is licensed under the declared conditions. Intellectual Property & Licensing This work is part of the KOGNETIK Research Series and is licensed under the Creative Commons Attribution–NonCommercial 4.0 International License (CC BY-NC 4.0). Use, distribution, and adaptation for non-commercial research purposes are permitted with proper attribution. Commercial use is not permitted under this license and requires a separate agreement. License: https://creativecommons.org/licenses/by-nc/4.0/ Contact: research@kognetik.deORCID: https://orcid.org/0009-0000-8544-4847 KOGNETIK Series Note KOGNETIK is a structural operator framework based on the relation: Ψ = ∂S/∂R Ψ denotes structural variation under recurrence. The operator is defined independently of domain and applies to systems where structure (S) can be evaluated under repeatable conditions (R). Higher-order phenomena are treated as regime-specific instantiations of this relation.