13th ICFG 2008
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Abstracts
13th International Conference on Functional Grammar

Round pegs, square holes. Principles of representational layering in FDG
Niels Smit & Miriam van Staden,
Universiteit van Amsterdam, Amsterdam, The Netherlands


The paper addresses the workings of the representations used in Functional Discourse Grammar (FDG; Hengeveld & Mackenzie 2006), that formalise the semantic structures underlying linguistic expression. It proposes a number of modifications that aim to enhance notational consistency on the one hand, and solve a descriptive problem on the other. We argue for a reappraisal of Dik’s original treatment of restriction as in (1), because it enables a fully unified treatment of all entity types.

(1)         αi: [(αj) (αi)Ø] : [(αk) (αi)Ø] : …

The restrictors in (1) are endocentric, in the sense that the argument of the restricting predication is coreferential with the layer as a whole. It can be shown that this endocentricity is what enables the construal of complex denotations through a recursive process of subset restriction. Closer examination of the behaviour of nuclear predications, however, reveals that portraying them as endocentric layers poses a descriptive problem (cf. also Mackenzie 1987):

(2)           ei: [(fi: walk) (xi: man)A (ei)Ø] ‘event of the man walking’

The endocentricity of ei in (2) results in a scope ambiguity, since the repeated (ei)Ø is not an argument of the predicate walk. Similar problems arise also in the case of lexical heads, in particular (but not exclusively) in representing the difference between referent modification and reference modification (Bolinger 1967). It seems, then, that in addition to endocentric layers, the formalism should also allow for exocentric layers:

 (3)      αi: [(αj) (αi)Ø                 endocentric
 (4)      αi: [(αj) (αm)Ø               exocentric

The paper argues that it is no accident that lexical heads and nuclear predications should behave similarly, given that they constitute primitives in the view of FDG, that are inserted from the Fund (lexicon), rather than being generated by a semantic formulator. The remainder of the paper is dedicated to an exploration of the properties of endocentric and exocentric layers, and the consequences these have for the FDG formalism. Among others, these include the formal means to differentiate between restriction and definition, the adoption of a new kind of variable, and the removal of some redundant brackets.

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References:
  • Bolinger, Dwight.  967. Adjectives in English: Attribution and Predication. Lingua 18, 1-34.

  • Hengeveld, Kees; and Mackenzie, J. Lachlan. 2006. Functional DiscourseGrammar. In The encyclopedia of language & linguistics Keith Brown and Anne H. Anderson (eds.). Oxford: Elsevier,   668-676.

  • Mackenzie, J. Lachlan. 1987. The representation of nominal predicates in the fund. Working Papers in Functional Grammar 25.  


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