The neuronal structure of the cortex has usually been perceived as radically di erent from the semantic structure on which cognition is defined. This paper, in a line with other papers (Werning, 2001, 2003a, 2004; Maye, 2003; Maye & Werning, 2004), however, argues that despite of these prima facie differences, semantic structure can be reduced to neural structure if one assumes that oscillatory neural networks be an appropriate model of neural reality. Several neurobiological data on neural synchronization support this assumption (Singer & Gray, 1995). In the context of this paper, semantic structures are assumed to subserve two purposes. First, its elements evaluate linguistic expressions semantically and can thus be regarded as the meanings of those expressions. Second, its elements are themselves semantically evaluable with respect to external content. The linguistic expression dog , e.g., has as meaning the concept DOG, which is some internal state of the cognitive system whatever it may reduce to neurally. This internal state is itself a representation and must thus have external content. Its external content will here be identified with the set of dogs and is thus identical to the denotation of the predicate dog . Since representations are supposed to co-vary reliably with what they represent (Fodor, 1992), the latter identification requires that internal states reliable co-vary with the denotations of those expressions whose meanings they are.