0520340 20240103223500.020200117235959.9 85074008660 000657791400015 10.1007/s11229-019-02399-z 28 s. P cav_un_epca*02519430039-78571986 (2021)5253-5280Springer Plural Logic Higher-Level Plural Logic Ontological commitment Natural language cav_un_auth*0387711 Grimau Berta UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR ES Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2019/MTR/grimau-0520340.pdf https://link.springer.com/article/10.1007/s11229-019-02399-z GA18-00113S GA ČR CZ cav_un_auth*0387713 AH/L503915/1 Arts and Humanities Research Council GB cav_un_auth*0387714 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. WOS BA 10000 10100 10102 2022 RVO:67985556 http://hdl.handle.net/11104/0305025 S n.a. Article History Philosophy Of Science|Philosophy C PHILOSOPHY|HISTORY&PHILOSOPHYOFSCIENCE|HISTORY&PHILOSOPHYOFSCIENCE|HISTORY&PHILOSOPHYOFSCIENCE 1.861 0.932 7.3 0.01324 0.908 8633 89 0.947 50.33 1.99 1764 Q1 1.253 1081 72.7 Q2 Q1* 2.24 Q1 79.839 2021 85074008660 SCOPUS PUBMED 000657791400015 WOS cav_un_epca*0251943 Synthese 0039-7857 1573-0964 Roč. 198 č. 6 2021 5253 5280 Springer