Richard Montagues Logical processing of linguistic semantics

The study of linguistic semantics, its nature and dimensions is an important topic for a number of fields such as the philosophy of language and linguistics, as well as mathematics and symbolic logic. Most traditional approaches and analyses of language and its topics have revolved around the nature of semantics, its linguistic structure and dimensions from a linguistic or philosophical perspective. However, a new trend has emerged since the first half of the twentieth century with a number of linguists with mathematical and logical orientations, This concept , which is based on a symbolic approach to language, is far removed from the traditional view. This trend was crowned by Montague's view of linguistic meaning by approaching it symbolically, as he attempted to develop a new vision for analyzing semantic concepts and the structural composition of sentences and phrases - using the foundations of the logical analysis of language of his predecessors, such as Tarski and Carnap - so that they can be coded and placed in the form of a system of symbols, categories, and axioms. Montago differed from his predecessors in giving a purely formal view of language, and then moved on to analyze the grammatical structure of languages ​​in general, trying to establish a set of rules that are systematically consistent with the linguistic structure of any language. He soon established more than one hypothetical formal language, using the analytical tools of symbolic logic in constructing this mathematical linguistic system, Montague tried to apply this vision practically to the traditional linguistic and grammatical analysis of natural languages, including English, and to try to simplify languages ​​and place them in a simple, systematic framework that can be easily understood. In presenting his vision, Montague used a number of logical methods and languages, such as the language of intentional logic, the logical dimension of possible worlds, mathematical probability, and other formal tools. This vision - like other new concepts - was accepted by some and criticized by others. There are many aspects of criticism and attempts to modify Montagu's concept regarding this mathematical, symbolic, and systematic concept of linguistic meaning.