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Validity, the Squeezing Argument and Alternative Semantic Systems: The Case of Aristotelian Syllogistic

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dc.creatorAndrade Lotero, Edgar José
dc.creatorDutilh Novaes, Catarinaspa
dc.date.accessioned2020-05-25T23:56:27Z
dc.date.available2020-05-25T23:56:27Z
dc.date.created2012spa
dc.description.abstractWe investigate the philosophical significance of the existence of different semantic systems with respect to which a given deductive system is sound and complete. Our case study will be Corcoran's deductive system D for Aristotelian syllogistic and some of the different semantic systems for syllogistic that have been proposed in the literature. We shall prove that they are not equivalent, in spite of D being sound and complete with respect to each of them. Beyond the specific case of syllogistic, the goal is to offer a general discussion of the relations between informal notions-in this case, an informal notion of deductive validity-and logical apparatuses such as deductive systems and (model-theoretic or other) semantic systems that aim at offering technical, formal accounts of informal notions. Specifically, we will be interested in Kreisel's famous 'squeezing argument'; we shall ask ourselves what a plurality of semantic systems (understood as classes of mathematical structures) may entail for the cogency of specific applications of the squeezing argument. More generally, the analysis brings to the fore the need for criteria of adequacy for semantic systems based on mathematical structures. Without such criteria, the idea that the gap between informal and technical accounts of validity can be bridged is put under pressure. © 2010 Springer Science+Business Media B.V.eng
dc.format.mimetypeapplication/pdf
dc.identifier.doihttps://doi.org/10.1007/s10992-010-9166-y
dc.identifier.issn223611
dc.identifier.urihttps://repository.urosario.edu.co/handle/10336/22428
dc.language.isoengspa
dc.relation.citationEndPage418
dc.relation.citationIssueNo. 2
dc.relation.citationStartPage387
dc.relation.citationTitleJournal of Philosophical Logic
dc.relation.citationVolumeVol. 41
dc.relation.ispartofJournal of Philosophical Logic, ISSN:223611, Vol.41, No.2 (2012); pp. 387-418spa
dc.relation.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84858214438&doi=10.1007%2fs10992-010-9166-y&partnerID=40&md5=531e500d804ca2f2b076af4da165edb9spa
dc.rights.accesRightsinfo:eu-repo/semantics/openAccess
dc.rights.accesoAbierto (Texto Completo)spa
dc.source.instnameinstname:Universidad del Rosariospa
dc.source.reponamereponame:Repositorio Institucional EdocURspa
dc.subject.keywordProofs of completenessspa
dc.subject.keywordSemantic systems for syllogisticspa
dc.subject.keywordSqueezing argumentspa
dc.subject.keywordSyllogisticspa
dc.subject.keywordValidityspa
dc.titleValidity, the Squeezing Argument and Alternative Semantic Systems: The Case of Aristotelian Syllogisticspa
dc.typearticleeng
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersion
dc.type.spaArtículospa
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