Abstract
Proceeding from a set of conditions that an adequate notion of a non-mathematical function should satisfy, we examine some of the most influential of these notions, including Cummins-functions, to conclude that the teleosemantic notion of a non-mathematical proper function, suggested originally by Ruth Millikan, best satisfies the proposed conditions. In particular, this notion allows us to talk consistently about organisms having some functions while Operating, at the same time, dysfunctionally. In addition, we show that the teleosemantic notion of relational and adaptive proper functions can be applied to singular events being part of developments in evolution and learning processes. We conclude that it is in this framework, rather than on the basis of the so-called theory of memes, that an application of the teleosemantic notion of a proper function to social areas can be seriously considered.