Conceptual space

A conceptual space is a geometric structure that represents a number of quality dimensions, which denote basic features by which concepts and objects can be compared, such as weight, color, taste, temperature, pitch, and the three ordinary spatial dimensions. In a conceptual space, "points" denote objects, and "regions" denote concepts. The theory of conceptual spaces is a theory about concept learning first proposed by Peter Gärdenfors. It is motivated by notions such as conceptual similarity and prototype theory.
The theory also puts forward the notion that "natural" categories are convex regions in conceptual spaces. In that if formula_1 and formula_2 are elements of a category, and if formula_3 is between formula_1 and formula_2, then formula_3 is also likely to belong to the category. The notion of concept convexity allow the interpretation of the focal points of regions as category prototypes. In the more general formulations of the theory, concepts are defined in terms conceptual similarity to their prototypes.