I’m still inclined to believe that numbers are abstract objects, but there’s been quite a bit of work recently, partly by people who know a lot more about linguistics than I do, arguing that contrary to some appearances, number-words are best understood as predicates rather than names or singular terms. Given my broadly Fregean view of the relations between syntactic and ontological categories this might be the basis of an argument for viewing numbers as properties rather than objects. I used to believe that there was a compelling argument for taking them to be (abstract) objects, but now I am not really sure about this. What seems to me far more important is not whether numbers are objects rather than properties, but whether, and in what sense, they exist.
Continuing the End Times series, Richard Marshall interviews Bob Hale.