EN
There are three main concepts of universals. They can be defined on the basis of two fundamental ontological relations: inherence and determination. Inherence holds between the abstract and the concrete, e.g. between a property and a thing; determination holds between the determinate and the determinable, e.g. between particular redness and colourness. (1) Abstract universals are defined as common properties, which inhere in many different things: (A). The contemporary debate on universals involves mainly this concept of universals. (2) Determination-universals are determinable aspects, which are determined by particulars or by particular properties (tropes): (B). It seems that Aquinas, Husserl, and Ingarden were determination-realists. (3) Concrete universals are wholes in which many different things inhere: (C). This is a concept of universals which can be found in Hegel, the neohegelians, and some Russian philosophers. Note that (A), (B) and (C) stand for specific mathematical symbols & equations presented in the full text