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International Studies in Phenomenology and Philosophy

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Multi-dimensional compositional functions as a basis for grammatical analysis

Richard T. Oehrle

pp. 349-389

In the first part of this paper, I show how one natural methodological approach to linguistic problems leads directly to a framework which emphasizes the generalization of the problem of composition to a number of dimensions. In the second part, I introduce a general notion of compositional function, which provides an appropriate abstract setting in which to discuss the problem of multi-dimensional composition. In this general setting, we may think of a grammar G,much as Montague did (1974, Chapter 7, hereafter "UG'), as the closure of a set of compositional functions over a set of postulated basic expressions (each endowed with properties in the various dimensions under consideration). There are then a number of ways of conceiving of languages associated with G, depending on whether we wish to consider every analysis generated by G,some special class of analyses generated by G (such as those associated with a designated symbol "S'),the phonological structures definable in the structure G,and so on.

Publication details

DOI: 10.1007/978-94-015-6878-4_13

Full citation:

Oehrle, R. T. (1988)., Multi-dimensional compositional functions as a basis for grammatical analysis, in R. T. Oehrle, E. Bach & D. Wheeler (eds.), Categorial grammars and natural language structures, Dordrecht, Springer, pp. 349-389.

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