A Conceptual Space Logic.
Jørgen Fischer Nilsson · 1999
: Conceptual spaces have been proposed as topological or geometric means for establishing conceptual structures and models. This paper, after briey reviewing conceptual spaces, focusses on the relationship between conceptual spaces and logical concept languages with operations for combining concepts to form concepts. Specically is introduced an algebraic concept logic, for which conceptual spaces are installed as semantic domain as replacement for, or enrichment of, the traditional extensional set-theoretic semantics. The more pragmatic concern is to make the conceptual space paradigm appealing and useful for formal conceptual modeling and knowledge base systems. Keywords: Conceptual spaces, conceptual models, reasoning with concepts, algebraic logic, topology. 1 Introduction Conventional approaches to conceptual modeling and knowledge representation in the computational setting make extensive use of formal, symbolic languages. Typically in the symbol paradigm is adapted ...