This paper explores a new reason for preferring a model-theoretic appr
oach to understanding the nature of scientific theories. Identifying t
he models in philosophers' model-theoretic accounts of theories with t
he concepts in cognitive scientists' accounts of categorization sugges
ts a structure to families of models far richer than has commonly been
assumed. Using classical mechanics as an example, it is argued that f
amilies of models may be ''mapped'' as an array with ''horizontal'' gr
aded structures, multiply hierarchical ''vertical'' structures, and lo
cal ''radial'' structures. These structures promise important implicat
ions for how scientific theories are learned and used in actual scient
ific practice.