Truth Value

Any system that seeks to define and sustain truth must recursively encode its own procedures for definition, which necessarily entangles it in a feedback loop wherein the validation of truth becomes contingent on the continuity of the system itself; this induces a structural complication, not as error but as condition, such that any attempt to fully close the system—to render it complete, final, or exceptionless—necessarily undermines the very dynamism by which the system persists, meaning that incompleteness, paradox, and self-reference are not peripheral to logic but are its generative engine, and that the pursuit of closure is epistemologically incoherent precisely because the act of sustaining meaning requires a topology that folds back upon itself, where the solvable is bounded by the unsolvable, and every truth is shadowed by the logic that exceeds it.