ABSTRACT
This chapter shows that the conceptual space of multi-modal concepts exhibits crucial differences to the geometric properties found with the single conceptual domains. Cognitivist Semantics assumes that meanings should be rooted in conceptual structures. P. Gardenfors argues that the requires the conceptual level to be modelled in an analogical fashion, in which similarity is coded as distance in a conceptual space. Concepts are viewed as correlations of values from different domains; conceptual domains are single unified properties that may have a multidimensional representation, too, but whose property dimensions are not separable. Similarity acts in a double role: on the one hand, a similarity judgement is derived on the basis of a geometrical constellation, on the other hand, similarity is the basis for categorization, which builds up the conceptual space. Concepts can be freely established from correlations between domains.
