I claim that there’s just always a distribution over meanings, and it can be sharp or fuzzy or bimodal or any sort of shape.
You are saying all meanings are perfectly precise, and concepts are never vague, only massively ambiguous. For example, the term “eggplant”, or almost any other word, would be ambiguous between, like, a million meanings, all more or less slightly different from each other.
You could probably model vagueness as such an extreme case of ambiguity. But this would be unnatural. Intuitively, vagueness is a property internal to a meaning, not of a very large collection of different meanings attached to the same word.
You are saying all meanings are perfectly precise, and concepts are never vague, only massively ambiguous. For example, the term “eggplant”, or almost any other word, would be ambiguous between, like, a million meanings, all more or less slightly different from each other.
You could probably model vagueness as such an extreme case of ambiguity. But this would be unnatural. Intuitively, vagueness is a property internal to a meaning, not of a very large collection of different meanings attached to the same word.