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dc.contributor.author
Barrio, Eduardo Alejandro
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dc.date.available
2018-05-29T20:08:22Z
dc.date.issued
2014-12
dc.identifier.citation
Barrio, Eduardo Alejandro; Collapse, Plurals and Sets; Universidade Federal de Santa Catarina; Principia; 18; 3; 12-2014; 419-438
dc.identifier.issn
1808-1711
dc.identifier.uri
http://hdl.handle.net/11336/46515
dc.description.abstract
This paper raises the question under what circumstances a plurality forms a set. My main point is that not always all things form sets. A provocative way of presenting my position is that, as a result of my approach, there are more pluralities than sets. Another way of presenting the same thesis claims that there are ways of talking about objects that do not always collapse into sets. My argument is related to expressive powers of formal languages. Assuming classical logic, I show that if all plurality form a set and the quantifiers are absolutely general, then one gets a trivial theory. So, by reductio, one has to abandon one of the premiss. Then, I argue against the collapse of the pluralities into sets. What I am advocating is that the thesis of collapse limits important applications of the plural logic in model theory, when it is assumed that the quantifiers are absolutely general.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Universidade Federal de Santa Catarina
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dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Collapse
dc.subject
Absolute Generality
dc.subject
Paradoxes
dc.subject
Pluralities
dc.subject.classification
Estudios Religiosos
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dc.subject.classification
Filosofía, Ética y Religión
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dc.subject.classification
HUMANIDADES
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dc.title
Collapse, Plurals and Sets
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2018-05-28T14:55:32Z
dc.identifier.eissn
1414-4247
dc.journal.volume
18
dc.journal.number
3
dc.journal.pagination
419-438
dc.journal.pais
Brasil
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dc.journal.ciudad
Santa Catarina
dc.description.fil
Fil: Barrio, Eduardo Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.journal.title
Principia
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dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.5007/1808-1711.2014v18n3p419
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://periodicos.ufsc.br/index.php/principia/article/view/1808-1711.2014v18n3p419
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