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Traditional componential analysis has been applied to a wide range of semantic problems. In this paper logical implication has been proposed as an alternative to set-inclusion as the primitive out of which meaning is built. It has been shown to apply to an equally wide range of problems as theories utilizing set-inclusion, but with the possibility of even greater success. The theory is potentially applicable to the study of logic and syntax, of language acquisition, and the investigation of the organization of memory through reaction time.

Implication as an alternative to set-inclusion as the semantic primitive