Monothetic Classes. Monothetic classes are classes containing cases that are all identical on all variables or dimensions being measured. Typologies generally contain only monothetic classes (i.e., a type is a monothetic class). Referring back to the typology previously presented in Table 1.1, all persons in Type I would be both intelligent and motivated (no exceptions), while all persons in Type 4 would be unintelligent and unmotivated (no exceptions). Conceptual types are generally defined monothetically.