[Lingtyp] types of quantification

[Östen Dahl]

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.

Östen

Från: Christian Lehmann <christian.lehmann at uni-erfurt.de>
Skickat: den 4 mars 2022 13:02
Till: Östen Dahl <oesten at ling.su.se>; lingtyp at listserv.linguistlist.org
Ämne: Re: Sv: [Lingtyp] types of quantification


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.


  1.  Östen


Från: Lingtyp <lingtyp-bounces at listserv.linguistlist.org><mailto:lingtyp-bounces at listserv.linguistlist.org> För Christian Lehmann
Skickat: den 4 mars 2022 12:35
Till: lingtyp at listserv.linguistlist.org<mailto: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:

  1.  Has anything concerning such a classification been published which I should know?
  2.  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<mailto: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<mailto:christianw_lehmann at arcor.de>

Web:

https://www.christianlehmann.eu


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