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It is argued that the source of complexity in language is twofold: repetition, and syntactic embedding. The former enables us to return again and again to the same subject across many sentences, and to maintain the coherence of an argument. The latter is governed by two forms of complexification: the functor-argument structure of all languages and the operator-bound-variable mechanism of familiar formal languages. The former is most transparently represented by categorial grammar, and an extension of this can adequately describe the syntax of variable binders. Both developments have roots within the work of the Lvov-Warsaw School.
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Syntactic categories fulfil different roles in constructing compound expressions. Sentences and names, and also some functors are syntactic categories. Sentences are expressions which state that something is this way and not another. Therefore, in the logical sense, a sentence is a following statement: “The earth is a planet”. Sentences (expressions) are intensional when they do not deserve a feature of extensionality. There can be sentences saying about conditions of the mind, causal or time relationships etc. Therefore, they are intensional because their logical value (i.e. truth or falsity) depends not only on component elements (e.g. from truth / falsity of clauses of the compound sentence), but also on different factors. Between the modules of this expression (e.g. between the component sentences of the compound sentence) some more different relations occur. These sentences get in relationships between them, e.g. in the cause and effect relationship - as a logical implication relation. Therefore, the logical value of these sentences goes beyond simple logical deductions, and according to some theories goes beyond logic itself.
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