According to a widely held intuition there is an important, systematic connection between borderlineness and knowledge.

One instance of this general thought can be described as follows: there are certain heights such that when a person is that height it is impossible to know whether they’re tall (even if we know their exact height).

Moreover, the fact that we are ignorant in cases such as these has something to do with vagueness, and a good theory of vagueness ought to explain this ignorance. For the linguistic theorist, however, this connection seems at least initially mysterious. What is special about the people with these particular heights, according to that theorist, is that certain words in certain languages bear a special relation to them. But it is extremely natural to wonder how this special relation to words could explain why we can’t know whether these people are tall. In this chapter I shall develop this sort of thought into an argument that vagueness-related ignorance cannot be explained by a linguistic theory of vagueness.

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