[Lingtyp] types of quantification

[Christian Lehmann]

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.)

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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:
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>
> christianw_lehmann at arcor.de
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-- 

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
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