bibtype J - Journal Article
ARLID 0520340
utime 20240103223500.0
mtime 20200117235959.9
SCOPUS 85074008660
WOS 000657791400015
DOI 10.1007/s11229-019-02399-z
title (primary) (eng) In defence of Higher-Level Plural Logic: drawing conclusions from natural language
specification
page_count 28 s.
media_type P
serial
ARLID cav_un_epca*0251943
ISSN 0039-7857
title Synthese
volume_id 198
volume 6 (2021)
page_num 5253-5280
publisher
name Springer
keyword Plural Logic
keyword Higher-Level Plural Logic
keyword Ontological commitment
keyword Natural language
author (primary)
ARLID cav_un_auth*0387711
name1 Grimau
name2 Berta
institution UTIA-B
full_dept (cz) Matematická teorie rozhodování
full_dept (eng) Department of Decision Making Theory
department (cz) MTR
department (eng) MTR
country ES
fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
source
url http://library.utia.cas.cz/separaty/2019/MTR/grimau-0520340.pdf
source
url https://link.springer.com/article/10.1007/s11229-019-02399-z
cas_special
project
project_id GA18-00113S
agency GA ČR
country CZ
ARLID cav_un_auth*0387713
project
project_id AH/L503915/1
agency Arts and Humanities Research Council
country GB
ARLID cav_un_auth*0387714
abstract (eng) Plural Logic is an extension of First-Order Logic which has, as well as singular terms and quantifiers, their plural counterparts. Analogously, Higher-Level Plural Logic is an extension of Plural Logic which has, as well as plural terms and quantifiers, higher-level plural ones. Roughly speaking, higher-level plurals stand to plurals like plurals stand to singulars, they are pluralised plurals. Allegedly, Higher-Level Plural Logic enjoys the expressive power of a simple type theory while committing us to nothing more than the austere ontology of First-Order Logic. Were this true, Higher-Level Plural Logic would be a useful tool, with various applications in philosophy and linguistics. However, while the notions of plural reference and quantification enjoy widespread acceptance today, their higher-level counterparts have been received with a lot of scepticism. In this paper, I argue for the legitimacy of Higher-Level Plural Logic by providing evidence to the effect that natural languages contain higher-level plural expressions and showing that it is likely that they do so in an indispensable manner. Since the arguments I put forward are of the same sort advocates of Plural Logic have employed to defend their position, I conclude that the commonly held view that Plural Logic is legitimate, but not so its higher-level plural extensions is untenable.
result_subspec WOS
RIV BA
FORD0 10000
FORD1 10100
FORD2 10102
reportyear 2022
inst_support RVO:67985556
permalink http://hdl.handle.net/11104/0305025
confidential S
mrcbC86 n.a. Article History Philosophy Of Science|Philosophy
mrcbC91 C
mrcbT16-e HISTORYPHILOSOPHYOFSCIENCE|PHILOSOPHY
mrcbT16-j 0.908
mrcbT16-s 0.947
mrcbT16-D Q2
mrcbT16-E Q1*
arlyear 2021
mrcbU14 85074008660 SCOPUS
mrcbU24 PUBMED
mrcbU34 000657791400015 WOS
mrcbU63 cav_un_epca*0251943 Synthese 0039-7857 1573-0964 Roč. 198 č. 6 2021 5253 5280 Springer