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220 Balázs Surányi(9) RefPRef′RefAgrSPAgrS′AgrSDistPDist′DistSharePShare′ShareAgrIOPAgrIO′AgrIOAgrOPAgrO′AgrOVPRefP is a checking-site for definites and specific wide scope bare numeral indefinites. DistP housesdistributive universals. ShareP hosts bare numeral indefinites that are specific in the sense of Enc(1991) (i.e. range over individuals whose existence is presupposed), but that are being distributedover. Non-specific bare numeral indefinites, as well as modified numeral indefinites move only asfar at their appropriate Case-checking A-position (which are assumed to be AgrP projections, butthe model would work the same way with A-positions in Spec,vP/TP). A difference that Beghelliand Stowell assume to hold between bare numeral indefinites and modified numeral indefinites isthat only the latter can reconstruct to their VP-internal base positions, bare numeral indefinitescannot.Let us briefly review how the account predicts the relative scope facts by way of reexaminingsome of the examples above. Consider (4b) again, repeated as (10a):(10) a. Two students passed fewer than four classes S > O / *O > Sb. [ AgrSP two students . . . [ AgrOP fewer than 4 classes. . . ]]The inverse distributive scope here is impossible because the object modified numeral indefinite isin [Spec,AgrOP], while the subject bare numeral indefinite that is in subject position cannotreconstruct to VP by assumption. Consider now (5b), reproduced as (11a). The universal must belocated in DistP. Because the modifier numeral expression can reconstruct to VP as an option, thescope ambiguity is derived.(11) a. Fewer than four students passed every class S > O / O > Sb. [ AgrSP fewer than 4 students [ DistP every class …[ VP fewer than 4 students…]]]