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A deductive-nomological model for mathematical scientific explanation

dc.contributor.authorCastro, Eduardo
dc.date.accessioned2020-07-23T14:40:43Z
dc.date.available2020-07-23T14:40:43Z
dc.date.issued2020
dc.description.abstractI propose a deductive-nomological model for mathematical scientific explanation. In this regard, I modify Hempel’s deductive-nomological model and test it against some of the following recent paradigmatic examples of the mathematical explanation of empirical facts: the seven bridges of Königsberg, the North American synchronized cicadas, and Hénon-Heiles Hamiltonian systems. I argue that mathematical scientific explanations that invoke laws of nature are qualitative explanations, and ordinary scientific explanations that employ mathematics are quantitative explanations. I analyse the repercussions of this deductivenomological model on causal explanations.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.doi10.5007/1808-1711.2020v24n1p1pt_PT
dc.identifier.issn1414-4247
dc.identifier.issn1808-1711 (Online)
dc.identifier.urihttp://hdl.handle.net/10400.6/10379
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherUniversidade Federal de Santa Catarinapt_PT
dc.relationExplicação matemática, Indução e Leis da Natureza
dc.relation.publisherversionhttps://periodicos.ufsc.br/index.php/principia/article/download/1808-1711.2020v24n1p1/pdfpt_PT
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/pt_PT
dc.subjectExplanationpt_PT
dc.subjectMathematicspt_PT
dc.subjectDN modelpt_PT
dc.subjectCausationpt_PT
dc.subjectSciencept_PT
dc.titleA deductive-nomological model for mathematical scientific explanationpt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleExplicação matemática, Indução e Leis da Natureza
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/OE/SFRH%2FBSAB%2F128040%2F2016/PT
oaire.citation.conferencePlaceUniversidade Federal de Santa Catarinapt_PT
oaire.citation.endPage27pt_PT
oaire.citation.issue1pt_PT
oaire.citation.startPage1pt_PT
oaire.citation.titlePrincipiapt_PT
oaire.citation.volume24pt_PT
oaire.fundingStreamOE
person.familyNameCastro
person.givenNameEduardo Jorge de Sousa
person.identifier.ciencia-id6C14-FF75-1612
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublication8d0d2845-8975-4a1a-bbcb-934118398633
relation.isAuthorOfPublication.latestForDiscovery8d0d2845-8975-4a1a-bbcb-934118398633
relation.isProjectOfPublication92eebf7b-abe3-477d-9dd7-1f1fdcecc752
relation.isProjectOfPublication.latestForDiscovery92eebf7b-abe3-477d-9dd7-1f1fdcecc752

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