Talk by Laszlo Kalman

Strong Compositionality

The paper starts from the observation that the *principle of Compositionality* is rather vacuous if we define it in the usual way. It shows that two other principles should be adopted for effectively ensuring what we intuitively understand by `compositionality': the principle of *Independence* says that the meanings of the sub-expressions of an expression are assigned independently of each other and from the way in which they are put together, and the principle of *Additivity* says that operations that combine meanings must not destructively modify any previously assigned meanings. The paper examines the consequences of adopting all three principles, jointly called *Strong Compositionality*, for linguistic theory. In particular, this principle prevents *functional operations* that combine meanings from `running free' in the grammar. In fact, under this approach, the functional metaphor of syntactic and semantic incompleteness must be abandoned. A formal theory of meanings that does not rely on the functor/operand metaphor and its application to a small fragment of English is presented.

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Paul Dekker, November 2, 1995