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ORDINALITY
Having a certain order of complexity or being defined on a certain logical level (see theory of logical types). A property, being defined within one variable or set is of ordinality one. A relation between two entities is of ordinality two, ..., a relation with n arguments is of ordinality n. A different convention of expressing ordinality is to count: unary relation or property, binary relation, ternary relation, quarternary relation,..., n-ary relation. A system within n variables contains up to n!/(m!(n-m)!) relations of ordinality m, msee structure, organization). (Krippendorff)
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