This upload contains a set of experimental texts exploring the limits of formal problem description, proposition typing, and structural analysis. The project does not aim to prove mathematical conjectures, propose new physical theories, or establish a unified scientific framework.Instead, it investigates how certain long-standing problems persist due to misalignment between syntactic form and structural nature. The materials focus on: Typological classification of propositions (existence-type, invariant-type, stability-type) Structural exhaustion of degrees of freedom Failure-state sustainability under scale and order perturbations Invariants as residual properties after operational freedom is exhausted The included appendices use classical mathematical conjectures solely as structural case studies, not as targets of proof or refutation. This work should be read as a meta-structural and meta-cognitive experiment, examining the boundary between problem formulation, interpretation, and formal reasoning. No empirical claims, proofs, or predictive assertions are made.