Model shows distinct failure modes in systems lacking irreducible components, suggesting new diagnostic approaches.
Following the Triadic Completion Principle, which defines the minimal condition for system validity, this paper introduces the Triadic Failure Principle. A system fails structurally when any one of the three irreducible components—potential (♾️), anchor (●), or structure (■)—is absent. Each missing component produces a distinct and predictable failure mode. This framework provides a minimal, domain-neutral diagnostic model for system breakdown, operating prior to modelling, explanation, or optimisation.
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Andrew John Paton (2026) studied this question.
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