Addressing those interested in the efforts of the universities to influence their future, in this article rhetorical topoi of classical types are examined. First, topoi representing these types are traced in research literature on universities, and next, the topoi are examined in mid-2010s strategies of Finland's all 15 universities. According to the results, topoi of university autonomy and liberal learning abound in fully-fledged multi-faculty universities, and topoi of more limited aspects and functions in more specialized universities, whereas topoi of social functions and comparative topoi and topoi of change are distributed more evenly. The results support the neoinstitutional theoretical expectation that institutional elements enhancing rationality and legitimation co-exist in complex ways, and convey the message for practice that university strategies would enhance only rationality or only legitimation. The results also suggest future studies with domestic longitudinal and international comparisons of university strategies.Interpreting the 2015 collapse signs of the external political legitimation of Finland's universities facing deep cutbacks announced by government, the most critical thrust of the article is situated at its very end.