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Definition of Ordinality

Ordinality Definition from Science & Technology Dictionaries & Glossaries
Web Dictionary of Cybernetics and Systems
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 )
Ordinality Definition from Encyclopedia Dictionaries & Glossaries
Wikipedia English - The Free Encyclopedia
In mathematics, especially in set theory, two ordered sets X,Y are said to have the same order type just when they are order isomorphic, that is, when there exists a bijection (each element matches exactly one in the other set) f: XY such that both f and its inverse are strictly increasing (order preserving) (the matching elements are also in the correct order). (In the special case when X is totally ordered, monotonicity of f implies monotonicity of its inverse.)

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