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On a logical formalization of natural language. (English) Zbl 0725.03011

The paper discusses some problems in formalizing natural languages. A formalized language is presented as a “many-sorted algebra” with a distinguished sort of “statements” (this approach was originated by R. Montague). Two kinds of formalized languages are considered: applicative and combinatorial. Applicative languages ae those in which sorts can be associated to grammatical categories; combinatorial languages are their extensions with polynomial functional symbols. The author argues whether natural languages can be interpreted in this way. The problems discussed are: intensionality, predication and nominalization, paraphrasing. The last section contains some informal remarks on possible new approaches involving “meanings” and “deep” structure.

MSC:

03B65 Logic of natural languages
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References:

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