Producing a mathematical model of concepts is a very important issue
in artificial intelligence, because if such a model were found this, besides being
a very interesting result in its own right, would also contribute to the emergence
of what we could call the \u2018mathematics of thought.\u2019 One of the most interesting
attempts made in this direction is P. Gardenfors\u2019 theory of conceptual spaces, a \ua8
theory which is mostly presented by its author in an informal way. The main aim
of the present article is contributing to Gardenfors\u2019 theory of conceptual spaces \ua8
by discussing some of the advantages which derive from the possibility of representing
concepts in high-dimensional linear spaces
