A self-contained, hierarchical framework for logic where the rules for evaluating validity, the allowed forms of inference, and even the definitions of truth are fixed and internally derived. It does not permit external evidence, new empirical data, or alternative rational frameworks to alter its core axioms. Mathematics, as traditionally conceived, is a logical closed meta-system; its truths are derived from its axioms, not from observation of the world.
Logical Closed Meta-Systems Example: Euclidean geometry is a Logical Closed Meta-System. Starting with its five postulates, it builds an entire, consistent universe of theorems about points, lines, and planes. No measurement of a physical "line" in the real world (which is made of atoms) can invalidate the Pythagorean theorem within the system. The system is sealed from empirical contradiction.
by Dumu The Void February 4, 2026
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