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This is neither a paper on mathematical logic, nor even on logic, but in the actually not well enough explored subject of the mathematical models of language. For this reason, it connects with the grounds of Zadeh's fuzzy sets [23], [15].Language, that is basically for describing perceptions and covers a wide range of human activities, is a social phenomenon resulting in evolutive systems of a big complexity. Language, inextricably linked to narrative and common-sense arguing, is there viewed as the reality to be mathematically represented. Of course, once a (partial) model is introduced it should be later on tested against that to which it refers to, as the only way of knowing to what extent it reflects well enough what is done by means of language, at least when linguistically describing actual or imaginary facts. Understanding a language implies to know what its words mean, how to use them properly.

DOI: 10.1007/978-3-540-93802-6_9

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