Redundant dimensions are functionally substitutes and therefore not necessary conditions

Evidence

This makes sense in terms of concepts as definitions with multiple dimensions. High levels of redundancy would be using synonyms to define something. The addition of synonyms is not really adding anything semantically to the definition; they can be removed at little cost. The reason that one includes attributes as separate dimensions already suggests that they should be nonredundant. If dimensions are redundant then they are probably not necessary because the absence of one can be replaced by another. In short, the classic philosophical approach to conceptualization implies or assumes nonredundancy. — Gary Goertz, Social Science Concepts and Measurement, 224

Categorization

• DEEPTHINKING: Ties three separate literatures together: redundancy, substitutability, and necessity are one mechanism, not three criteria — the AND structure silently forbids redundancy.