[Lingtyp] types of quantification

[Sebastian Nordhoff]

On 3/4/22 12:53, Östen Dahl wrote:
> 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/ 
> <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.

Dear all,
FWIW, in the functional part of my grammar of Sri Lanka Malay[1], I use 
the following classification

15.6 Quantification .
15.6.1 Quantification of referents
15.6.1.1 Plurality
15.6.1.2 Definite quantity
15.6.1.3 Indefinite quantity
             zero proportion
             more than one entity
             low proportion
             unclear proportion
             high proportion
             totality
15.6.1.4 Definite order
15.6.1.5 Indefinite order
15.6.2 Event quantification
             habitual
             iterative
             distributive
15.6.3 Temporal frequency

Note that the idea of "definite quantity" can not only be expressed by 
numerals, but also by terms such as "a pair", "a trio" or "a dozen". The 
same can be said for the other concepts mentioned above. Event 
quantification is often encoded on the verb etc.

Best wishes
Sebastian

[1] 
https://www.lotpublications.nl/a-grammar-of-upcountry-sri-lanka-malay-a-grammar-of-upcountry-sri-lanka-malay


> 
>   * 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
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