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<p class="MsoNormal"><span lang="EN-US">I think the answer to the question depends on what you want your general-comparative linguistic semantics to look like, in particular on how much you want it to reflect how quantifiers are grouped in individual languages.
<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US">Östen<o:p></o:p></span></p>
<p class="MsoNormal"><o:p> </o:p></p>
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<p class="MsoNormal"><b><span lang="SV">Från:</span></b><span lang="SV"> Christian Lehmann <christian.lehmann@uni-erfurt.de>
<br>
<b>Skickat:</b> den 4 mars 2022 13:02<br>
<b>Till:</b> Östen Dahl <oesten@ling.su.se>; lingtyp@listserv.linguistlist.org<br>
<b>Ämne:</b> Re: Sv: [Lingtyp] types of quantification<o:p></o:p></span></p>
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<p class="MsoNormal"><o:p> </o:p></p>
<p>Östen, what you mention is apparently a classification from a logical point of view. Accepted.<o:p></o:p></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.)<o:p></o:p></p>
<p>----------------------------------------------------------<o:p></o:p></p>
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<p class="MsoNormal">Am 04.03.2022 um 12:53 schrieb Östen Dahl:<o:p></o:p></p>
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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/">https://plato.stanford.edu/entries/generalized-quantifiers/</a>.</span><o:p></o:p></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. </span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US"> </span><o:p></o:p></p>
<ol style="margin-top:0cm" start="1" type="1">
<li class="MsoListParagraph" style="margin-left:0cm;mso-list:l3 level1 lfo1"><span lang="EN-US">Östen</span><o:p></o:p></li></ol>
<p class="MsoNormal"><span lang="EN-US"> </span><o:p></o:p></p>
<p class="MsoNormal"> <o:p></o:p></p>
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<p class="MsoNormal"><b><span lang="SV">Från:</span></b><span lang="SV"> Lingtyp <a 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 href="mailto:lingtyp@listserv.linguistlist.org">lingtyp@listserv.linguistlist.org</a><br>
<b>Ämne:</b> [Lingtyp] types of quantification</span><o:p></o:p></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 start="1" type="1">
<li class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;mso-list:l0 level1 lfo2">
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:l0 level1 lfo2">
Non-numeral quantification<o:p></o:p></li></ol>
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<ol start="1" type="1">
<li class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;mso-list:l1 level1 lfo3">
Universal: 'all', 'every'<o:p></o:p></li><li class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;mso-list:l1 level1 lfo3">
Existential: 'some'<o:p></o:p></li><li class="MsoNormal" style="mso-margin-top-alt:auto;mso-margin-bottom-alt:auto;mso-list:l1 level1 lfo3">
Sizing: 'many', 'several', '(a) few', ....<o:p></o:p></li></ol>
</blockquote>
<p>Two questions:<o:p></o:p></p>
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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 level1 lfo4">
To the extent that the above is reasonable: Any suggestions for a better terminology?<o:p></o:p></li></ol>
<p class="MsoNormal">-- <o:p></o:p></p>
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<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></span><o:p></o:p></p>
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<p class="MsoNormal"><span style="font-size:9.0pt">Tel.:</span><o:p></o:p></p>
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<p class="MsoNormal"><span style="font-size:9.0pt">+49/361/2113417</span><o:p></o:p></p>
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<p class="MsoNormal"><span style="font-size:9.0pt">E-Post:</span><o:p></o:p></p>
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<p class="MsoNormal"><span style="font-size:9.0pt"><a href="mailto:christianw_lehmann@arcor.de">christianw_lehmann@arcor.de</a></span><o:p></o:p></p>
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<p class="MsoNormal"><span style="font-size:9.0pt">Web:</span><o:p></o:p></p>
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<p class="MsoNormal"><span style="font-size:9.0pt"><a href="https://www.christianlehmann.eu">https://www.christianlehmann.eu</a></span><o:p></o:p></p>
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<p class="MsoNormal"> <o:p></o:p></p>
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<p class="MsoNormal">-- <o:p></o:p></p>
<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>
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<p class="MsoNormal"><span style="font-size:9.0pt">+49/361/2113417<o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:9.0pt">E-Post:<o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:9.0pt"><a href="mailto:christianw_lehmann@arcor.de">christianw_lehmann@arcor.de</a><o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:9.0pt">Web:<o:p></o:p></span></p>
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<p class="MsoNormal"><span style="font-size:9.0pt"><a href="https://www.christianlehmann.eu">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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