[Lingtyp] types of quantification
sebastian.nordhoff at glottotopia.de
Fri Mar 4 12:04:01 UTC 2022
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.
> 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.
FWIW, in the functional part of my grammar of Sri Lanka Malay, I use
the following classification
15.6 Quantification .
15.6.1 Quantification of referents
188.8.131.52 Definite quantity
184.108.40.206 Indefinite quantity
more than one entity
220.127.116.11 Definite order
18.104.22.168 Indefinite order
15.6.2 Event quantification
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.
> * 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
> christianw_lehmann at arcor.de <mailto:christianw_lehmann at arcor.de>
> https://www.christianlehmann.eu <https://www.christianlehmann.eu>
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