The author argues that collective choice theory relies on a number of background concepts that are not recognized in the formal delineations of the theory. Some of these background concepts describe a liberal community. These liberal premises conflict with the more explicit arithmetical languages of collective choice, and this conflict explains some of the rational breakdowns between one and all demonstrated in collective choice.
Frohock, Fred M.
"Arithmetic vs. Morality: Liberalism in Collective Choice,"
Syracuse Scholar (1979-1991): Vol. 6:
1, Article 2.
Available at: https://surface.syr.edu/suscholar/vol6/iss1/2