Article

Minds and Machines

, Volume 20, Issue 4, pp 503-532

Unifying Conceptual Spaces: Concept Formation in Musical Creative Systems

  • Jamie ForthAffiliated withDepartment of Computing & Centre for Cognition, Computation and Culture, Goldsmiths, University of London Email author 
  • , Geraint A. WigginsAffiliated withDepartment of Computing & Centre for Cognition, Computation and Culture, Goldsmiths, University of London
  • , Alex McLeanAffiliated withDepartment of Computing & Centre for Cognition, Computation and Culture, Goldsmiths, University of London

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Abstract

We examine Gärdenfors’ theory of conceptual spaces, a geometrical form of knowledge representation (Conceptual spaces: The geometry of thought, MIT Press, Cambridge, 2000), in the context of the general Creative Systems Framework introduced by Wiggins (J Knowl Based Syst 19(7):449–458, 2006a; New Generation Comput 24(3):209–222, 2006b). Gärdenfors’ theory offers a way of bridging the traditional divide between symbolic and sub-symbolic representations, as well as the gap between representational formalism and meaning as perceived by human minds. We discuss how both these qualities may be advantageous from the point of view of artificial creative systems. We take music as our example domain, and discuss how a range of musical qualities may be instantiated as conceptual spaces, and present a detailed conceptual space formalisation of musical metre.

Keywords

Conceptual spaces Creativity Search Geometry Musical rhythm Similarity