Halliday & Matthiessen (1999: 422):
The model theoretic approach to meaning is a transcendent one: meanings are located in the world outside of language. This is seen as a strength by the proponents of the model theoretic approach. Dowty et al (1981) criticise various other theories of meaning for ignoring the "inherent aboutness of language", its relationship to the real world:
Any theory which ignores this central property, it is argued, cannot be an adequate theory of natural language. Examples would be theories which, in effect, give the meaning of a sentence by translating it into another language, such as a system of semantic markers or some son of formal logic, where this language is not further interpreted by specifying its connection to the world. The approach of Katz and his coworkers seems to be of this sort (Katz and Fodor, 1963; Katz & Postal, 1964), as is that of Jackendoff (1972) and of the framework of Generative Semantics (Lakoff, 1972; McCawley, 1973; Postal, 1970).