By Carnap R.
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Extra info for Introduction to semantics
The reason is that the necessary 'duplication' of A to A * may not be possible. For, in case the proper name Mary denotes an object in A - B, it cannot also denote something in A * - B. And in fact, if we could construe certain cases of x's XY as implying that x is in X, but not in Y, then there would be an asymmetric determiner after all. ) Still, whether by immediate transfer or through suitable generalization, there are good prospects for a general logical theory of determiners. Even so, this direction of research may be misguided.
Nevertheless, they also suggest an important distinction to be made. There is a way of justifying the rejected account after all. Like singular NP's, plural NP's can have both 'general' and 'specific' (or 'referential') uses. In the singular case, one has such well-known anaphoric differences as that between 'A girl came in, and she ... ' versus the unacceptable 'Every girl came in, and she . '. In the plural case, there is a similar distinction, between the admissible 'Some girls came in, and they .
There must be some deep truth here about the semantic flora. 4. FURTHER INTUITIONS OF LOGICALITY The three postulates QUANT, CONS, EXT, together with VAR, delimit an important, but still rather heterogeneous class of generalized quantifiers. It contains many of the usual first-order quantifiers, but also some highly artificial second-order ones. Can one single out a more homogeneous group? Indeed, there are various further intuitions concerning quantifiers (or logical constants in general) that may be 32 CHAPTER 2 brought to light.