ABSTRACT
This chapter concerns the issue of whether and how perceptual dimensions interact from a differential geometric standpoint. Earlier efforts in this direction initiated depiction of percepts, viewed “in the large,” that is, where the percepts are sufficiently separated that discrimination is virtually perfect (Townsend & Spencer-Smith, 2004). Hence, the percepts can be treated in that framework as deterministic. In this investigation, we take up the same type of question when discrimination is imperfect due to noise or closeness of the stimuli. This is accomplished as a generalization of General Recognition Theory (GRT) (Ashby & Townsend, 1986; see also, Ashby, 1992; Maddox, 1992; Thomas, 1999, 2003). The original GRT dealt with percepts as points lying in an orthogonally coordinated space associated with distinct densities associated with the stimulus set.
