By Christina Unger
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Extra resources for A computational approach to the syntax of displacement and the semantics of scope
With respect to the there-test, they pair with weak or strong quantifiers, depending on the reading. e. e. the reading that many/few of the people searching for new tablets were archaeologists. 46) a. There are many archaeologists searching for new tablets. b. There are few archaeologists searching for new tablets. When modelling different scope behavior in Chapter 5, I will take up the intuition that only strong quantifiers can outscope other quantifiers, but weak quantifiers cannot (cf. g. Ruys ).
Forms are usually assumed to be sequences of sound making up a linguistic utterance, possibly together with some syntactic information. We will represent sequences of sounds as strings for ease of exposition. This is way too rough from a phonological perspective, but it will suffice for our purposes. So for us, form comprises a string together with necessary syntactic information such as a category. Meaning, on the other hand, uniquely determines the denotation of the expression. For us, it will be an expression of a lambda calculus.
This chapter is about explicating what expressions are and how they are combined. We will start by specifying expressions to be form-meaning pairs, with forms being the phonological representation and meaning being the semantic representation of the expression. Then we will define a simple operation for combining two formmeaning pairs into another form-meaning pair. It will be based on common assumptions of generative grammar and cover simple cases not yet involving displacement and operator scope.