http://glottopedia.org/index.php?action=history&feed=atom&title=Right_upward_monotonicity
Right upward monotonicity - Revision history
2026-04-23T08:43:14Z
Revision history for this page on the wiki
MediaWiki 1.34.2
http://glottopedia.org/index.php?title=Right_upward_monotonicity&diff=16906&oldid=prev
NBlöcher: Edited the format, removed the block {{cats}}
2014-09-28T18:28:02Z
<p>Edited the format, removed the block {{cats}}</p>
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<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Revision as of 18:28, 28 September 2014</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1" >Line 1:</td>
<td colspan="2" class="diff-lineno">Line 1:</td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">==Definition==</ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>'''Right upward monotonicity''' is the property of an [[NP]], interpreted as a [[quantifier]] Q, which has the property of being right [[upward monotonicity|upward monotone]] if and only if for all subsets X and Y of the domain of entities E condition (i) holds.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>'''Right upward monotonicity''' is the property of an [[NP]], interpreted as a [[quantifier]] Q, which has the property of being right [[upward monotonicity|upward monotone]] if and only if for all subsets X and Y of the domain of entities E condition (i) holds.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l10" >Line 10:</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>So a true sentence of the form [<sub>S</sub> NP VP] with a right upward monotone NP entails the truth of [<sub>S</sub> NP VP'], where the interpretation of VP' is a superset of the interpretation of VP. Right upward monotonicity can also be defined for determiners.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>So a true sentence of the form [<sub>S</sub> NP VP] with a right upward monotone NP entails the truth of [<sub>S</sub> NP VP'], where the interpretation of VP' is a superset of the interpretation of VP. Right upward monotonicity can also be defined for determiners.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">=</del>== Links ==<del class="diffchange diffchange-inline">=</del></div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>== Links ==</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">*</ins>[http://www2.let.uu.nl/UiL-OTS/Lexicon/zoek.pl?lemma=Right+upward+monotonicity&lemmacode=352 Utrecht Lexicon of Linguistics]</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>[http://www2.let.uu.nl/UiL-OTS/Lexicon/zoek.pl?lemma=Right+upward+monotonicity&lemmacode=352 Utrecht Lexicon of Linguistics]</div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">=== References ===</del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">== References ==</ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Gamut, L.T.F. 1991. ''Logic, language, and meaning,'' Univ. of Chicago Press, Chicago.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Gamut, L.T.F. 1991. ''Logic, language, and meaning,'' Univ. of Chicago Press, Chicago.</div></td></tr>
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NBlöcher
http://glottopedia.org/index.php?title=Right_upward_monotonicity&diff=8724&oldid=prev
Wohlgemuth: utrecht
2009-02-21T17:30:29Z
<p>utrecht</p>
<p><b>New page</b></p><div>'''Right upward monotonicity''' is the property of an [[NP]], interpreted as a [[quantifier]] Q, which has the property of being right [[upward monotonicity|upward monotone]] if and only if for all subsets X and Y of the domain of entities E condition (i) holds.<br />
<br />
(i) if X in Q and X subset Y, then Y in Q<br />
<br />
Right upward monotonicity can be tested as in (ii): ''all'' N is right upward monotone, ''at most two'' N is not.<br />
<br />
(ii) All dogs walked rapidly =&gt; all dogs walked<br />
(iv) At most two dogs walked rapidly =/=&gt; at most two dogs walked<br />
<br />
So a true sentence of the form [<sub>S</sub> NP VP] with a right upward monotone NP entails the truth of [<sub>S</sub> NP VP'], where the interpretation of VP' is a superset of the interpretation of VP. Right upward monotonicity can also be defined for determiners.<br />
<br />
=== Links ===<br />
<br />
[http://www2.let.uu.nl/UiL-OTS/Lexicon/zoek.pl?lemma=Right+upward+monotonicity&lemmacode=352 Utrecht Lexicon of Linguistics]<br />
<br />
=== References ===<br />
<br />
* Gamut, L.T.F. 1991. ''Logic, language, and meaning,'' Univ. of Chicago Press, Chicago.<br />
<br />
{{dc}}<br />
[[Category:Semantics]]<br />
<br />
{{stub}}{{cats}}</div>
Wohlgemuth