Abstract
This is an overview paper presenting the main results obtained by the author and his colleagues in the field of fuzzy logic and modelling of natural language semantics and is composed of an introduction followed by two main parts. Section 2 discusses our results in terms of fuzzy logic, namely that of prepositional and first-order fuzzy logic based on a residuated lattice of truth values. Section 3 presents the concept of the Alternative mathematical Model of natural Language semantics and pragmatics (AML) the development of which is based on a philosophical approach rather than the approaches usually adopted in most classical papers.

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