John Stuart Mill's distinction between connotation and denotation entails that a concept with null or singleton denotation but substantive connotation remains general only if its connotation could in principle apply to multiple objects.
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A word that refers to exactly one thing and nothing else, like 'Mount Everest' or 'the President of the United States right now.'
Substantive connotation(as a property of the concept's meaning)
A word having real, meaningful characteristics or qualities that define it—not empty or meaningless.
denotation(Goodman's theory of symbols and depiction)
A variety of reference; the relation in which a name stands to its bearer, a predicate stands to the members of its extension, or a portrait stands to its subject
in principle(as used in philosophical reasoning)
Theoretically or according to the basic rules or logic, even if it might not work out in practice.