The Kelemen Dilemma: A Formal Analysis of Ontological Singularities (n=3) and Causal Artifacts

English Summary: This project presents the "Kelemen Dilemma" (Boot-Flared-Trousers Paradox) as a formal boundary phenomenon in system theory and mathematical logic. Within a closed system W with cardinality Card(W)=3, it is demonstrated that the condition "Exec(wi) NOT Exec(wi)" results in a mathematical singularity of the system matrix (Determinant = 0). This phenomenon is formalized as "Ontological Residue" (Ontologischer Rückstand). Original Publication: The main treatise is provided in German to maintain the depth of its system-theoretic terminology (Humboldt-Universität tradition). This work bridges formal logic, statistical multicollinearity, and recursive decision systems. CERN-Archived: This research is part of a cross-platform academic initiative, officially archived in the CERN-hosted repository Zenodo (DOI: 10.5281/zenodo.18838729) and listed on PhilArchive.