| 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 |
|
|
| 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 |
|
| source |
|
| 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. |
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WOS |
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BA |
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10000 |
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10100 |
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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 |
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| arlyear |
2021 |
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85074008660 SCOPUS |
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PUBMED |
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000657791400015 WOS |
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cav_un_epca*0251943 Synthese 0039-7857 1573-0964 Roč. 198 č. 6 2021 5253 5280 Springer |
|