http://glottopedia.org/index.php?action=history&feed=atom&title=Left_downward_monotonicity 2026-04-23T04:44:37Z Revision history for this page on the wiki MediaWiki 1.34.2 http://glottopedia.org/index.php?title=Left_downward_monotonicity&diff=7893&oldid=prev 2009-02-16T20:08:28Z

<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 /> <br /> (i) for all A, B, A' subset E: if D(A,B) and A' subset A, then D(A',B)<br /> <br /> 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 /> <br /> (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 /> <br /> Other terms are ''antipersistent'' and ''left monotone decreasing''.<br /> <br /> === Link ===<br /> <br /> [http://www2.let.uu.nl/UiL-OTS/Lexicon/zoek.pl?lemma=Left+downward+monotonicity&amp;lemmacode=591 Utrecht Lexicon of Linguistics]<br /> <br /> === References ===<br /> <br /> * Barwise, J. &amp;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 /> <br /> {{dc}}<br /> [[Category:Semantics]]</div>

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