[Lingtyp] types of quantification

Christian Lehmann christian.lehmann at uni-erfurt.de
Fri Mar 4 12:02:26 UTC 2022

```Östen, what you mention is apparently a classification from a logical
point of view. Accepted.

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.)

----------------------------------------------------------

Am 04.03.2022 um 12:53 schrieb Östen Dahl:
>
> 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.
> https://plato.stanford.edu/entries/generalized-quantifiers/.
>
> 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.
>
>   * Östen
>
> *Från:*Lingtyp <lingtyp-bounces at listserv.linguistlist.org> *För
> *Christian Lehmann
> *Skickat:* den 4 mars 2022 12:35
> *Till:* lingtyp at listserv.linguistlist.org
> *Ämne:* [Lingtyp] types of quantification
>
> 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:
>
>  1. Numeral quantification: 'one', 'two' ...
>  2. Non-numeral quantification
>
>      1. Universal: 'all', 'every'
>      2. Existential: 'some'
>      3. Sizing: 'many', 'several', '(a) few', ....
>
> Two questions:
>
>   * Has anything concerning such a classification been published which
>     I should know?
>   * To the extent that the above is reasonable: Any suggestions for a
>     better terminology?
>
> --
>
> Prof. em. Dr. Christian Lehmann
> Rudolfstr. 4
> 99092 Erfurt
> Deutschland
>
> Tel.:
>
>
>
> +49/361/2113417
>
> E-Post:
>
>
>
> christianw_lehmann at arcor.de
>
> Web:
>
>
>
> https://www.christianlehmann.eu
>
--

Prof. em. Dr. Christian Lehmann
Rudolfstr. 4
99092 Erfurt
Deutschland

Tel.: 	+49/361/2113417
E-Post: 	christianw_lehmann at arcor.de
Web: 	https://www.christianlehmann.eu
-------------- next part --------------
An HTML attachment was scrubbed...
URL: <http://listserv.linguistlist.org/pipermail/lingtyp/attachments/20220304/89b596c0/attachment.htm>
```