http://glottopedia.org/index.php?action=history&feed=atom&title=Left_downward_monotonicityLeft downward monotonicity - Revision history2026-11-05T14:13:31ZRevision history for this page on the wikiMediaWiki 1.45.6http://glottopedia.org/index.php?title=Left_downward_monotonicity&diff=7893&oldid=prevWohlgemuth: utrecht2009-02-16T20:08:28Z<p>utrecht</p>
<p><b>New page</b></p><div>'''Left [[downward monotonicity]]''' is a property of a [[determiner]] D in [[Generalized Quantifier Theory]]. A determiner D is left downward monotone if and only if in a domain of entities E condition (i) holds.<br />
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(i) for all A, B, A' subset E: if D(A,B) and A' subset A, then D(A',B)<br />
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Left downward monotonicity can be tested as in (ii); as shown there, ''all'' and ''no'' are left downward monotone, but some and exactly two are not.<br />
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(ii) a If all/no animals walked, then all/no dogs walked.<br />
b If some/exactly two animals walked, then some/exactly two dogs walked.<br />
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Other terms are ''antipersistent'' and ''left monotone decreasing''.<br />
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=== Link ===<br />
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[http://www2.let.uu.nl/UiL-OTS/Lexicon/zoek.pl?lemma=Left+downward+monotonicity&lemmacode=591 Utrecht Lexicon of Linguistics]<br />
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=== References ===<br />
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* Barwise, J. &amp; R. Cooper 1981. ''Generalized Quantifiers and Natural Language,'' Linguistics and Philosophy 4, pp. 159-219<br />
* Gamut, L.T.F. 1991. ''Logic, language, and meaning,'' Univ. of Chicago Press, Chicago.<br />
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[[Category:Semantics]]</div>Wohlgemuth