"As indicated, I retain the view that the outcome should be an ordering. Presumably, the weakest possible outcome of a constitution would be a choice function, a mapping of each feasible set of alternatives into a chosen subset. Again, one cannot avoid some consistency relations among the choices from different feasible sets. Various conditions weaker than a full ordering have been proposed, but, in my judgement, they do not lead to interesting conclusions. Unless they are implausibly weak, these conditions do not lead to noticeably greater freedom in the selection of social choice procedures."
January 1, 1970
https://en.wikiquote.org/wiki/Kenneth_Arrow