A Formalism Supplementing Cognitive Semantics Based on Mereology

ABSTRACT

This paper is motivated by and aims to supplement Cognitive Semantics. Details of this latter prominent approach within contemporary linguistic research will not be discussed here. Rather, we focus on a formalization of the concept of Gestalt and provide a formal semantics that can be used to interpret a certain formal language (LM ₀) with respect to a universe of structured wholes (Gestalts). Since a great deal of the analyses of linguistic organization that has been provided by Cognitive Semantics since the mid-1970s is based on the concept of Gestalt, the semantics unfolded in the following may be viewed as an attempt to provide a starting point for supplementing the yet informal analyses of Cognitive Semantics by formal models. Since Gestaltists have talked about Gestalts in terms of parts and wholes, it is a natural step to make use of mereological techniques.