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<p>Östen, what you mention is apparently a classification from a
logical point of view. Accepted.</p>
<p>Is it useful from the point of view of (general-comparative)
linguistic semantics to take the "classical" quantifiers of
predicate logic out and to group numerals together with "inexact
cardinality measures"? (Note that this is a neutral, not a
rhetorical question.)</p>
<p>----------------------------------------------------------<br>
</p>
<div class="moz-cite-prefix">Am 04.03.2022 um 12:53 schrieb Östen
Dahl:<br>
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<blockquote type="cite"
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<p class="MsoNormal"><span lang="EN-US">These should all fall
under the notion of “generalized quantifiers” discussed by
logicians and formal semanticists, where quantifiers are
regarded as denoting sets of sets. See e.g.
<a
href="https://plato.stanford.edu/entries/generalized-quantifiers/"
moz-do-not-send="true" class="moz-txt-link-freetext">https://plato.stanford.edu/entries/generalized-quantifiers/</a>.<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US">The classification
follows naturally from the logical properties of the
different quantifiers. (2a) and (2b) are the “classical”
quantifiers of predicate logic. (1) indicate exact
cardinality measures; (2c) inexact cardinality measures. <o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
<ul style="margin-top:0cm" type="disc">
<li class="MsoListParagraph"
style="margin-left:0cm;mso-list:l0 level1 lfo4"><span
lang="EN-US">Östen<o:p></o:p></span></li>
</ul>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><o:p> </o:p></p>
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<div style="border:none;border-top:solid #E1E1E1
1.0pt;padding:3.0pt 0cm 0cm 0cm">
<p class="MsoNormal"><b><span lang="SV">Från:</span></b><span
lang="SV"> Lingtyp
<a class="moz-txt-link-rfc2396E" href="mailto:lingtyp-bounces@listserv.linguistlist.org"><lingtyp-bounces@listserv.linguistlist.org></a>
<b>För </b>Christian Lehmann<br>
<b>Skickat:</b> den 4 mars 2022 12:35<br>
<b>Till:</b> <a class="moz-txt-link-abbreviated" href="mailto:lingtyp@listserv.linguistlist.org">lingtyp@listserv.linguistlist.org</a><br>
<b>Ämne:</b> [Lingtyp] types of quantification<o:p></o:p></span></p>
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<p class="MsoNormal"><o:p> </o:p></p>
<p>In some languages, numerals have the same distribution as
quantifiers like 'some' or 'many'. From a functional point of
view, too, for instance in view of the approximative numerals
discussed last week, it makes sense to subsume the use of
numerals under quantification. Then one might subdivide the
field of quantification roughly as follows:<o:p></o:p></p>
<ol type="1" start="1">
<li class="MsoNormal"
style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;mso-list:l1
level1 lfo1">
Numeral quantification: 'one', 'two' ...<o:p></o:p></li>
<li class="MsoNormal"
style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;mso-list:l1
level1 lfo1">
Non-numeral quantification<o:p></o:p></li>
</ol>
<blockquote style="margin-top:5.0pt;margin-bottom:5.0pt">
<ol type="a" start="1">
<li class="MsoNormal"
style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;mso-list:l3
level1 lfo2">
Universal: 'all', 'every'<o:p></o:p></li>
<li class="MsoNormal"
style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;mso-list:l3
level1 lfo2">
Existential: 'some'<o:p></o:p></li>
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style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;mso-list:l3
level1 lfo2">
Sizing: 'many', 'several', '(a) few', ....<o:p></o:p></li>
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<p>Two questions:<o:p></o:p></p>
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<li class="MsoNormal"
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Has anything concerning such a classification been published
which I should know?<o:p></o:p></li>
<li class="MsoNormal"
style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;mso-list:l2
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To the extent that the above is reasonable: Any suggestions
for a better terminology?<o:p></o:p></li>
</ul>
<p class="MsoNormal">-- <o:p></o:p></p>
<div>
<p><span style="font-size:10.0pt">Prof. em. Dr. Christian
Lehmann<br>
Rudolfstr. 4<br>
99092 Erfurt<br>
<span style="font-variant:small-caps">Deutschland</span><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:9.0pt">Tel.:<o:p></o:p></span></p>
</td>
<td style="padding:.75pt .75pt .75pt .75pt">
<p class="MsoNormal"><span style="font-size:9.0pt">+49/361/2113417<o:p></o:p></span></p>
</td>
</tr>
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<td style="padding:.75pt .75pt .75pt .75pt">
<p class="MsoNormal"><span style="font-size:9.0pt">E-Post:<o:p></o:p></span></p>
</td>
<td style="padding:.75pt .75pt .75pt .75pt">
<p class="MsoNormal"><span style="font-size:9.0pt"><a
href="mailto:christianw_lehmann@arcor.de"
moz-do-not-send="true"
class="moz-txt-link-freetext">christianw_lehmann@arcor.de</a><o:p></o:p></span></p>
</td>
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<td style="padding:.75pt .75pt .75pt .75pt">
<p class="MsoNormal"><span style="font-size:9.0pt">Web:<o:p></o:p></span></p>
</td>
<td style="padding:.75pt .75pt .75pt .75pt">
<p class="MsoNormal"><span style="font-size:9.0pt"><a
href="https://www.christianlehmann.eu"
moz-do-not-send="true"
class="moz-txt-link-freetext">https://www.christianlehmann.eu</a><o:p></o:p></span></p>
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<p class="MsoNormal"><o:p> </o:p></p>
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<div class="moz-signature">-- <br>
<p style="font-size:90%">Prof. em. Dr. Christian Lehmann<br>
Rudolfstr. 4<br>
99092 Erfurt<br>
<span style="font-variant:small-caps">Deutschland</span></p>
<table style="font-size:80%">
<tbody>
<tr>
<td>Tel.:</td>
<td>+49/361/2113417</td>
</tr>
<tr>
<td>E-Post:</td>
<td><a class="moz-txt-link-abbreviated" href="mailto:christianw_lehmann@arcor.de">christianw_lehmann@arcor.de</a></td>
</tr>
<tr>
<td>Web:</td>
<td><a class="moz-txt-link-freetext" href="https://www.christianlehmann.eu">https://www.christianlehmann.eu</a></td>
</tr>
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