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Assume a, b, and ¢ are the only tables in the domain in a given world ». The plural morpheme triggers the operation PL, which yields a set of pluralities, formed on the basis of the extension of the singular form. The set of pluralities of singular tables forms the extension of the plural form tables. Putting the two together, we get a join semi-lattice, the atoms of which correspond to the elements of the set of singularities.  Aetlwwe  At this point we can turn back to nouns. The type of structure in (14) has been proven to be useful to represent the extension of nouns. In this respect I will mostly follow Chierchia (1995), who builds on work by Link (1983) and Landman (1989,1991).'* Singular count nouns, Chierchia states, have as their extension a set of singularities. The extension of a singular count noun such as “abe corresponds to the set of singular tables in the domain of denotation. The plural count noun “ables corresponds to the set  of pluralities that can be formed on the basis of the singular tables. Chierchia illustrates this by (15) (his (21)):

Figure 6 Assume a, b, and ¢ are the only tables in the domain in a given world ». The plural morpheme triggers the operation PL, which yields a set of pluralities, formed on the basis of the extension of the singular form. The set of pluralities of singular tables forms the extension of the plural form tables. Putting the two together, we get a join semi-lattice, the atoms of which correspond to the elements of the set of singularities. Aetlwwe At this point we can turn back to nouns. The type of structure in (14) has been proven to be useful to represent the extension of nouns. In this respect I will mostly follow Chierchia (1995), who builds on work by Link (1983) and Landman (1989,1991).'* Singular count nouns, Chierchia states, have as their extension a set of singularities. The extension of a singular count noun such as “abe corresponds to the set of singular tables in the domain of denotation. The plural count noun “ables corresponds to the set of pluralities that can be formed on the basis of the singular tables. Chierchia illustrates this by (15) (his (21)):