The inhabitants of vagueness models

As part of the common practice of experimental research in cognitive psychology, objects are systematically represented by clusters of property values. Individuals correspond to points in an n-dimensional space, for some number n, where each dimension (axis) is some scalar property. For example, the set of possible individuals presented as stimuli in a given experiment can be represented with the two-dimensional space generated from the scalar properties denoted by red and long, or from the dimensions color and shape, the latter seen as nominal-scale properties, assigning to entities values such as “red,” “blue,” “square” and “circle.” The result is a set of individuals including a red square, a blue square, etc. Many other examples can be found in, for instance, Murphy (2002).