Difference between revisions of "Monotonicity"
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| − | '''Monotonicity''' is a determiners (and quantifiers) can be classified according to their monotonicity-properties. A determiner D in a sentence of the form [<sub>S</sub> [<sub>NP</sub> D CN] VP] establishes a relation between the interpretations of CN and VP taken as sets of individuals. The monotonicity-properties of D can be found by extending or restricting the interpretations of CN and VP, and checking whether the resulting sentence is still true. Left upward/downward monotonicity deals with the extension/restriction of CN; right upward/downward monotonicity deals with the extension/restriction of VP. [[Left upward monotonicity]] is often called ''Persistence'' and [[left downward monotonicity]] ''Antipersistence'' | + | '''Monotonicity''' is a determiners (and quantifiers) can be classified according to their monotonicity-properties. A determiner D in a sentence of the form [<sub>S</sub> [<sub>NP</sub> D CN] VP] establishes a relation between the interpretations of CN and VP taken as sets of individuals. The monotonicity-properties of D can be found by extending or restricting the interpretations of CN and VP, and checking whether the resulting sentence is still true. Left upward/downward monotonicity deals with the extension/restriction of CN; right upward/downward monotonicity deals with the extension/restriction of VP. [[Left upward monotonicity]] is often called ''Persistence'' and [[left downward monotonicity]] ''Antipersistence''; [[right monotonicity]] is then simply called ''monotonicity''. |
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Latest revision as of 19:02, 17 February 2009
Monotonicity is a determiners (and quantifiers) can be classified according to their monotonicity-properties. A determiner D in a sentence of the form [S [NP D CN] VP] establishes a relation between the interpretations of CN and VP taken as sets of individuals. The monotonicity-properties of D can be found by extending or restricting the interpretations of CN and VP, and checking whether the resulting sentence is still true. Left upward/downward monotonicity deals with the extension/restriction of CN; right upward/downward monotonicity deals with the extension/restriction of VP. Left upward monotonicity is often called Persistence and left downward monotonicity Antipersistence; right monotonicity is then simply called monotonicity.
Links
Utrecht Lexicon of Linguistics
References
- Barwise, J. & R. Cooper 1981. Generalized Quantifiers and Natural Language, Linguistics and Philosophy 4, pp. 159-219
- Gamut, L.T.F. 1991. Logic, language, and meaning, Univ. of Chicago Press, Chicago.
