Language and its Models: Is Model Theory a Theory of Semantics?

Abstract
Tarskian model theory is almost universally understood as a formal counterpart of the preformal notion of semantics, of the “linkage between words and things”. The wide-spread opinion is that to account for the semantics of natural language is to furnish its settheoretic interpretation in a suitable model structure; as exemplified by Montague 1974.
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Meaning as an Inferential Role.Jaroslav Peregrin - 2006 - Erkenntnis 64 (1):1-35.
Inferentializing Semantics.Jaroslav Peregrin - 2010 - Journal of Philosophical Logic 39 (3):255 - 274.
Formal Semantics in the Age of Pragmatics.Juan Barba - 2007 - Linguistics and Philosophy 30 (6):637-668.

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