Ernest Lepore, "What Model Theoretic Semantics Cannot Do"

Model Theoretic Semantics (MTS) does not constitute a substantial advance over Structured Semantics (SS), because knowledge of MTS doesn't suffice for knowledge of the meaning of sentences of the target language. Supplementing MTS with knowledge of which world is the actual world would suffice for knowing the meaning of target language sentences, but knowing which world is the actual world is beyond the ken of speakers of a language.