When Intuitions Lose Authority
Since intuitions are expert opinions, they have authority. They are not to be contradicted lightly. When are they on less-secure ground?
Since ordinary language users are only experts w.r.t a particular fragment of a language, their expert authority is limited to their area of expertise.
Ordinary language is suited to ordinary purposes: safely banging about in the world of medium-sized dry goods. Since ordinary terms acquire their meaning in ordinary circumstances, they lose their authority in unusual circumstances.
The worry is that almost any serious metaphysics involves extra-ordinary situations where competent ordinary language speakers are not authorities. One thinks of van Inwagen's modal skepticism here. I think we have to take such things on a case-by-case basis.
On a final note, it seems to me that a degree-theory of truth can help here since natural language terms acquire their extensions by application to paradigm cases--think of how we acquire proficiency in applying the term "heap". Thus extra-ordinary situations fall outside the rules of application of most terms.
We can merely supervaluate, but I think a better use of a supervaluation space would be to use it to form proportions of the generated space to yield degrees of applicability which we might as well call "degrees of truth". This works well for the Sorites Paradox and it would be interesting to try to extend it to other issues in metaphysics. Perhaps only their epistemic counterparts will be useful, but you can't win if you don't play.
This should sufficiently piss off those who weren't pissed off by the other post.

