 According to supervaluationists, borderline statements lack a truth-value. This neatly explains why it is universally impossible to know the truth-value of a borderline statement. Supervaluationists offer details about the nature of absolute borderline cases. Simple sentences about borderline cases lack a truth-value. Compounds of these statements can have a truth-value if they come out true regardless of how the statement is admissibly precisified. For instance, ‘Either Mr. Stoop is tall or it is not the case that Mr. Stoop is tall’ is true because it comes out true under all ways of sharpening ‘tall’. Thus the method of supervaluations allows one to retain all the theorems of standard logic while admitting “truth-value gaps”.