Foundations and applications of Montague grammar [PhD Thesis]
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The present volume is one of the two tracts which are based on my dissertation foundations and applications of Montague grammar. The two volumes present an interdisciplinary study between mathematics, philosophy, computer science, logic and linguistics. No knowledge of specific results in these fields is presupposed, although occasionally terminology or results from them are mentioned. Throughout the text it is assumed that the reader is acquainted with fundamental principles of logic, in particular of model theory, and that he is used to a mathematical kind of argumentation. The volumes deal with many facets of syntax and semantics, discussing rather different kinds of subjects from this interdisciplinary field. They range from abstract universal algebra to linguistic observations, from the history of philosophy to formal language theory, and from idealized computers to human psychology.
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