This document discusses the classification of comparative arguments in academic literature and actual argumentative practices. It identifies four main parameters used to categorize comparative arguments in theoretical works: 1) whether the comparison involves cases from the same or different domains, 2) whether the comparison is qualitative or quantitative, 3) the epistemic status of the compared cases, and 4) whether the argument is used in a positive or negative/refutative way. The document then examines how these theoretical categories compare to the spontaneous perceptions and discussions of comparative arguments in real-world argumentative practices.