Quantification and Second-Order Monadicity
| dc.contributor.author | Pietroski, Paul | |
| dc.date.accessioned | 2006-12-04T14:33:23Z | |
| dc.date.available | 2006-12-04T14:33:23Z | |
| dc.date.issued | 2003 | |
| dc.description.abstract | The first part of this paper reviews some developments regarding the apparent mismatch between the logical and grammatical forms of quantificational constructions like 'Pat kicked every bottle'. I suggest that (even given quantifier-raising) many current theories still posit an undesirable mismatch. But all is well if we can treat determiners (words like 'every', 'no', and 'most') as second-order monadic predicates without treating them as predicates satisfied by ordered pairs of sets. Drawing on George Boolos's construal of second-order quantification as plural quantification, I argue that we can and should view determiners as predicates satisfied (plurally) by ordered pairs each of which associates an entity with a truth-value (t or f). The idea is 'every' is satisfied by some pairs iff every one of them associates its entity with t. It turns out that this provides a kind of explanation for the "conservativity" of determiners. And it lets us say that concatenation signifies predicate-conjunction even in phrases like 'every bottle' and 'no brown dog'. | en |
| dc.format.extent | 218194 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.citation | Philosophical Perspectives 17: 259-298, 2003 | en |
| dc.identifier.uri | http://hdl.handle.net/1903/4009 | |
| dc.language.iso | en_US | en |
| dc.publisher | Blackwell | en |
| dc.relation.isAvailableAt | College of Arts & Humanities | en_us |
| dc.relation.isAvailableAt | Linguistics | en_us |
| dc.relation.isAvailableAt | Digital Repository at the University of Maryland | en_us |
| dc.relation.isAvailableAt | University of Maryland (College Park, Md.) | en_us |
| dc.subject | semantics | en |
| dc.subject | composition | en |
| dc.subject | quantifiers | en |
| dc.subject | logic | en |
| dc.title | Quantification and Second-Order Monadicity | en |
| dc.type | Article | en |