•
Observational adequacy • The theory achieves an exhaustive and discrete enumeration of the data points. • There is a pigeonhole for each observation. •
Descriptive adequacy • The theory formally specifies rules accounting for all observed arrangements of the data. • The rules produce all and only the well-formed constructs (relations) of the protocol space. • :...the grammar gives a correct account of the linguistic intuition of the native speaker, and specifies the observed data (in particular) in terms of significant generalizations that express underlying regularities in the language. •
Explanatory adequacy • The theory provides a principled choice between competing descriptions. • It deals with the uttermost underlying structure. • It has predictive power. • :A linguistic theory that aims for explanatory adequacy is concerned with the internal structure of the device [i.e. grammar]; that is, it aims to provide a principled basis, independent of any particular language, for the selection of the descriptively adequate grammar of each language. Theories which do not achieve the third level of adequacy are said to "account for the observations", rather than to "explain the observations." The second and third levels include the assumption of
Ockhamist parsimony. This is related to the
Minimalist requirement, which is elaborated as a
corollary of the levels, but which is actually employed as an
axiom. ==Precursors in the philosophy of science==