The Five Classes of Error: A Structural Taxonomy

Error is the failure of an ordering to hold. Structural error sorts into five non-empty classes plus one structurally empty cell, with the classification exhaustive within the four-operation ordering's edge set and uniformly applicable across every domain that instantiates the ordering. The five non-empty classes are placement without distinction (Class 2-1, placement operates on the prior cycle's content because the current cycle's distinction has not delivered), identification without placement (Class 3-2, identification operates without the current cycle's placement having delivered), composition without identification (Class 4-3, composition operates without the current cycle's identification having…