Quantification in English is Inherently Sortal
History and Philosophy of Logic 20 (3-4):251-265 (1999)
| Abstract | Within Linguistics the semantic analysis of natural languages (English, Swahili, for example) has drawn extensively on semantical concepts first formulated and studied within classical logic, principally first order logic. Nowhere has this contribution been more substantive than in the domain of quantification and variable binding. As studies of these notions in natural language have developed they have taken on a life of their own, resulting in refinements and generalizations of the classical quantifiers as well as the discovery of new types of quantification which exceed the expressive capacity of the classical quantifiers. We refer the reader to Keenan and Westerståhl (1997) for an overview of results in this area. Here, we focus on one property of quantification in natural language?its inherently sortal nature?which distinguishes it from quantification in classical logic | |||||||||
| Keywords | No keywords specified (fix it) | |||||||||
| Categories | ||||||||||
| Options |
|
|||||||||
| PhilPapers Archive |
Upload a copy of this paper Check publisher's policy on self-archival Papers currently archived: 5,701 |
| External links |
|
| Through your library | Configure |
Stephen Donaho (2002). Standard Quantification Theory in the Analysis of English. Journal of Philosophical Logic 31 (6):499-526.
Max A. Freund (2000). A Complete and Consistent Formal System for Sortals. Studia Logica 65 (3):367-381.
Tobias Rosefeldt (2008). 'That'-Clauses and Non-Nominal Quantification. Philosophical Studies 137 (3):301 - 333.
Bart Geurts (2003). Reasoning with Quantifiers. Cognition 86 (3):223--251.
Philip Hugly & Charles Sayward (1982). Indenumerability and Substitutional Quantification. Notre Dame Journal of Formal Logic 23 (4):358-366.
F. Jeffry Pelletier (1972). Sortal Quantification and Restricted Quantification. Philosophical Studies 23 (6):400 - 404.
Max A. Freund (2001). A Temporal Logic for Sortals. Studia Logica 69 (3):351-380.
Juha Kontinen & Jakub Szymanik (2008). A Remark on Collective Quantification. Journal of Logic, Language and Information 17 (2):131-140.
Edward Keenan & Denis Paperno (2010). Stanley Peters and Dag Westerståhl: Quantifiers in Language and Logic. Linguistics and Philosophy 33 (6):513-549.
Monthly downloads |
Added to index2009-01-28Total downloads10 ( #106,370 of 549,119 )Recent downloads (6 months)2 ( #37,390 of 549,119 )How can I increase my downloads? |

