Ranges: composite measure phrases, modified numerals, and choice functions

Range expressions such asbetween 3 and 8,from 3 to 8, and3 through 8 resemble modified numerals such asat least 3and have sometimes been mentioned under that rubric. This paper shows that they are crucially different in their distribution, the readings available to them, and their behavior with respect to quantifiers, and more generally that they have an intricate grammar of their own. We distinguish three classes of readings they can receive: singleton punctual readings, on which they often give rise to ignorance inferences; set punctual readings, which arise chiefly in the scope of quantifiers; and interval readings, where the range is interpreted exhaustively. We propose an analysis on which range expressions denote choice functions over degrees, which can in the right circumstances be parameterized.